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5810681856 = 21137219301
BaseRepresentation
bin1010110100101011…
…11111100000000000
3112222221211020000010
411122111333200000
543400013304411
62400331024520
7263664660300
oct53225774000
915887736003
105810681856
112511a84311
121161b9b140
13717ab17b5
143d1a0b600
152401dd7a6
hex15a57f800

5810681856 has 144 divisors (see below), whose sum is σ = 18021505320. Its totient is φ = 1660108800.

The previous prime is 5810681839. The next prime is 5810681857. The reversal of 5810681856 is 6581860185.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5810681857) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 291406 + ... + 310706.

Almost surely, 25810681856 is an apocalyptic number.

5810681856 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5810681856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9010752660).

5810681856 is an abundant number, since it is smaller than the sum of its proper divisors (12210823464).

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

5810681856 is a wasteful number, since it uses less digits than its factorization.

5810681856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19340 (or 19313 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 48.

The square root of 5810681856 is about 76227.8286192123. The cubic root of 5810681856 is about 1797.8040975159.

The spelling of 5810681856 in words is "five billion, eight hundred ten million, six hundred eighty-one thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 128 147 168 192 196 224 256 294 336 384 392 448 512 588 672 768 784 896 1024 1176 1344 1536 1568 1792 2048 2352 2688 3072 3136 3584 4704 5376 6144 6272 7168 9408 10752 12544 14336 18816 19301 21504 25088 37632 38602 43008 50176 57903 75264 77204 100352 115806 135107 150528 154408 231612 270214 301056 308816 405321 463224 540428 617632 810642 926448 945749 1080856 1235264 1621284 1852896 1891498 2161712 2470528 2837247 3242568 3705792 3782996 4323424 4941056 5674494 6485136 7411584 7565992 8646848 9882112 11348988 12970272 14823168 15131984 17293696 19764224 22697976 25940544 29646336 30263968 34587392 39528448 45395952 51881088 59292672 60527936 69174784 90791904 103762176 118585344 121055872 138349568 181583808 207524352 242111744 276699136 363167616 415048704 484223488 726335232 830097408 968446976 1452670464 1936893952 2905340928 5810681856