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3996662904 = 2333136123333
BaseRepresentation
bin1110111000111000…
…0011110001111000
3101022112102111211000
43232032003301320
531141121203104
61500330205000
7201020034303
oct35616036170
911275374730
103996662904
111771014aa3
12936583760
134b90237c0
1429cb25b3a
15185d16639
hexee383c78

3996662904 has 128 divisors (see below), whose sum is σ = 12152347200. Its totient is φ = 1209530880.

The previous prime is 3996662899. The next prime is 3996662953. The reversal of 3996662904 is 4092666993.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 159622 + ... + 182954.

Almost surely, 23996662904 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 3996662904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6076173600).

3996662904 is an abundant number, since it is smaller than the sum of its proper divisors (8155684296).

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

3996662904 is a wasteful number, since it uses less digits than its factorization.

3996662904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23422 (or 23412 counting only the distinct ones).

The product of its (nonzero) digits is 3779136, while the sum is 54.

The square root of 3996662904 is about 63219.1656382778. The cubic root of 3996662904 is about 1586.9594866749.

The spelling of 3996662904 in words is "three billion, nine hundred ninety-six million, six hundred sixty-two thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 61 72 78 104 108 117 122 156 183 216 234 244 312 351 366 468 488 549 702 732 793 936 1098 1404 1464 1586 1647 2196 2379 2808 3172 3294 4392 4758 6344 6588 7137 9516 13176 14274 19032 21411 23333 28548 42822 46666 57096 69999 85644 93332 139998 171288 186664 209997 279996 303329 419994 559992 606658 629991 839988 909987 1213316 1259982 1423313 1679976 1819974 2426632 2519964 2729961 2846626 3639948 4269939 5039928 5459922 5693252 7279896 8189883 8539878 10919844 11386504 12809817 16379766 17079756 18503069 21839688 25619634 32759532 34159512 37006138 38429451 51239268 55509207 65519064 74012276 76858902 102478536 111018414 148024552 153717804 166527621 222036828 307435608 333055242 444073656 499582863 666110484 999165726 1332220968 1998331452 3996662904