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151685431768 = 231337149264559
BaseRepresentation
bin1000110101000100101…
…0000000000111011000
3112111112012220022121101
42031101022000013120
54441122432304033
6153403333121144
713646622616333
oct2152112000730
9474465808541
10151685431768
1159369520a72
12254931891b4
13113c47c7a70
1474ad56361a
153e2ba5697d
hex23512801d8

151685431768 has 64 divisors (see below), whose sum is σ = 316678320000. Its totient is φ = 67659121152.

The previous prime is 151685431759. The next prime is 151685431789. The reversal of 151685431768 is 867134586151.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 441073 + ... + 705631.

It is an arithmetic number, because the mean of its divisors is an integer number (4948098750).

Almost surely, 2151685431768 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 151685431768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158339160000).

151685431768 is an abundant number, since it is smaller than the sum of its proper divisors (164992888232).

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

151685431768 is a wasteful number, since it uses less digits than its factorization.

151685431768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264764 (or 264760 counting only the distinct ones).

The product of its digits is 4838400, while the sum is 55.

The spelling of 151685431768 in words is "one hundred fifty-one billion, six hundred eighty-five million, four hundred thirty-one thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 13 26 37 52 74 104 148 149 296 298 481 596 962 1192 1924 1937 3848 3874 5513 7748 11026 15496 22052 44104 71669 143338 264559 286676 529118 573352 1058236 2116472 3439267 6878534 9788683 13757068 19577366 27514136 39154732 39419291 78309464 78838582 127252879 157677164 254505758 315354328 509011516 512450783 1018023032 1024901566 1458513767 2049803132 2917027534 4099606264 5834055068 11668110136 18960678971 37921357942 75842715884 151685431768