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5970064256 = 27132377459
BaseRepresentation
bin1011000111101011…
…11111001110000000
3120102001201200112222
411203311333032000
544211314024011
62424223110212
7300641465102
oct54365771600
916361650488
105970064256
112593a44702
1211a7442368
13741b17100
14408c59572
1524e1c2ddb
hex163d7f380

5970064256 has 96 divisors (see below), whose sum is σ = 13228594200. Its totient is φ = 2680584192.

The previous prime is 5970064241. The next prime is 5970064273. The reversal of 5970064256 is 6524600795.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 796655 + ... + 804113.

Almost surely, 25970064256 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 5970064256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6614297100).

5970064256 is an abundant number, since it is smaller than the sum of its proper divisors (7258529944).

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

5970064256 is a wasteful number, since it uses less digits than its factorization.

5970064256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7536 (or 7511 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 44.

The square root of 5970064256 is about 77266.1908987366. The cubic root of 5970064256 is about 1814.0935052919.

The spelling of 5970064256 in words is "five billion, nine hundred seventy million, sixty-four thousand, two hundred fifty-six".

Divisors: 1 2 4 8 13 16 26 32 37 52 64 74 104 128 148 169 208 296 338 416 481 592 676 832 962 1184 1352 1664 1924 2368 2704 3848 4736 5408 6253 7459 7696 10816 12506 14918 15392 21632 25012 29836 30784 50024 59672 61568 96967 100048 119344 193934 200096 238688 275983 387868 400192 477376 551966 775736 800384 954752 1103932 1260571 1551472 2207864 2521142 3102944 3587779 4415728 5042284 6205888 7175558 8831456 10084568 12411776 14351116 17662912 20169136 28702232 35325824 40338272 46641127 57404464 80676544 93282254 114808928 161353088 186564508 229617856 373129016 459235712 746258032 1492516064 2985032128 5970064256