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6151689856 = 271337412437
BaseRepresentation
bin1011011101010101…
…10101011010000000
3120212201111020001001
411232222311122000
5100044313033411
62454232021344
7305305333564
oct55652653200
916781436031
106151689856
112677517704
121238231854
13770639b90
144250176a4
152600ecdc1
hex16eab5680

6151689856 has 128 divisors (see below), whose sum is σ = 13891041360. Its totient is φ = 2694021120.

The previous prime is 6151689847. The next prime is 6151689899. The reversal of 6151689856 is 6589861516.

It can be written as a sum of positive squares in 8 ways, for example, as 3205371456 + 2946318400 = 56616^2 + 54280^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 6151689797 and 6151689806.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2523070 + ... + 2525506.

Almost surely, 26151689856 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 6151689856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6945520680).

6151689856 is an abundant number, since it is smaller than the sum of its proper divisors (7739351504).

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

6151689856 is a wasteful number, since it uses less digits than its factorization.

6151689856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2542 (or 2530 counting only the distinct ones).

The product of its digits is 3110400, while the sum is 55.

The square root of 6151689856 is about 78432.7090951218. The cubic root of 6151689856 is about 1832.3065917090.

The spelling of 6151689856 in words is "six billion, one hundred fifty-one million, six hundred eighty-nine thousand, eight hundred fifty-six".

Divisors: 1 2 4 8 13 16 26 32 37 41 52 64 74 82 104 128 148 164 208 296 328 416 481 533 592 656 832 962 1066 1184 1312 1517 1664 1924 2132 2368 2437 2624 3034 3848 4264 4736 4874 5248 6068 7696 8528 9748 12136 15392 17056 19496 19721 24272 30784 31681 34112 38992 39442 48544 61568 63362 68224 77984 78884 90169 97088 99917 126724 155968 157768 180338 194176 199834 253448 311936 315536 360676 399668 506896 631072 721352 799336 1013792 1172197 1262144 1298921 1442704 1598672 2027584 2344394 2524288 2597842 2885408 3197344 3696929 4055168 4688788 5195684 5770816 6394688 7393858 9377576 10391368 11541632 12789376 14787716 18755152 20782736 29575432 37510304 41565472 48060077 59150864 75020608 83130944 96120154 118301728 150041216 166261888 192240308 236603456 384480616 473206912 768961232 1537922464 3075844928 6151689856