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67733214096 = 24323374993323
BaseRepresentation
bin111111000101001101…
…101101001110010000
320110211102222210012010
4333011031231032100
52102204200322341
651041033502520
74615330551252
oct770515551620
9213742883163
1067733214096
11267a86a7299
1211163871a40
136505931412
1433c7951cd2
151b66600716
hexfc536d390

67733214096 has 160 divisors (see below), whose sum is σ = 187952256000. Its totient is φ = 20963999232.

The previous prime is 67733214091. The next prime is 67733214127. The reversal of 67733214096 is 69041233776.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (67733214091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20381491 + ... + 20384813.

It is an arithmetic number, because the mean of its divisors is an integer number (1174701600).

Almost surely, 267733214096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67733214096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93976128000).

67733214096 is an abundant number, since it is smaller than the sum of its proper divisors (120219041904).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

67733214096 is a wasteful number, since it uses less digits than its factorization.

67733214096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3893 (or 3887 counting only the distinct ones).

The product of its (nonzero) digits is 1143072, while the sum is 48.

The spelling of 67733214096 in words is "sixty-seven billion, seven hundred thirty-three million, two hundred fourteen thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 23 24 37 46 48 69 74 92 111 138 148 184 222 276 296 368 444 499 552 592 851 888 998 1104 1497 1702 1776 1996 2553 2994 3323 3404 3992 5106 5988 6646 6808 7984 9969 10212 11477 11976 13292 13616 18463 19938 20424 22954 23952 26584 34431 36926 39876 40848 45908 53168 55389 68862 73852 76429 79752 91816 110778 122951 137724 147704 152858 159504 183632 221556 229287 245902 275448 295408 305716 368853 424649 443112 458574 491804 550896 611432 737706 849298 886224 917148 983608 1222864 1273947 1475412 1658177 1698596 1834296 1967216 2547894 2827873 2950824 3316354 3397192 3668592 4974531 5095788 5655746 5901648 6632708 6794384 8483619 9949062 10191576 11311492 13265416 16967238 19898124 20383152 22622984 26530832 33934476 38138071 39796248 45245968 61352549 67868952 76276142 79592496 114414213 122705098 135737904 152552284 184057647 228828426 245410196 305104568 368115294 457656852 490820392 610209136 736230588 915313704 981640784 1411108627 1472461176 1830627408 2822217254 2944922352 4233325881 5644434508 8466651762 11288869016 16933303524 22577738032 33866607048 67733214096