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3117666672 = 24355913591
BaseRepresentation
bin1011100111010011…
…1101000101110000
322001021102212200000
42321310331011300
522341110313142
61233210230000
7140154505131
oct27164750560
98037385600
103117666672
11135a92912a
12730125300
133a8ba23a3
142180b5c88
15133a8814c
hexb9d3d170

3117666672 has 120 divisors (see below), whose sum is σ = 9202327680. Its totient is φ = 1021533120.

The previous prime is 3117666641. The next prime is 3117666677. The reversal of 3117666672 is 2766667113.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3117666677) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 222597 + ... + 236187.

It is an arithmetic number, because the mean of its divisors is an integer number (76686064).

Almost surely, 23117666672 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 3117666672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4601163840).

3117666672 is an abundant number, since it is smaller than the sum of its proper divisors (6084661008).

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

3117666672 is a wasteful number, since it uses less digits than its factorization.

3117666672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13673 (or 13655 counting only the distinct ones).

The product of its digits is 381024, while the sum is 45.

The square root of 3117666672 is about 55836.0696324517. The cubic root of 3117666672 is about 1460.8643583832.

The spelling of 3117666672 in words is "three billion, one hundred seventeen million, six hundred sixty-six thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 59 72 81 108 118 144 162 177 216 236 243 324 354 432 472 486 531 648 708 944 972 1062 1296 1416 1593 1944 2124 2832 3186 3888 4248 4779 6372 8496 9558 12744 13591 14337 19116 25488 27182 28674 38232 40773 54364 57348 76464 81546 108728 114696 122319 163092 217456 229392 244638 326184 366957 489276 652368 733914 801869 978552 1100871 1467828 1603738 1957104 2201742 2405607 2935656 3207476 3302613 4403484 4811214 5871312 6414952 6605226 7216821 8806968 9622428 12829904 13210452 14433642 17613936 19244856 21650463 26420904 28867284 38489712 43300926 52841808 57734568 64951389 86601852 115469136 129902778 173203704 194854167 259805556 346407408 389708334 519611112 779416668 1039222224 1558833336 3117666672