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3125077536 = 253717326881
BaseRepresentation
bin1011101001000100…
…1110011000100000
322001210101101110110
42322101032120200
522400004440121
61234033131320
7140304502140
oct27221163040
98053341413
103125077536
111364030009
127326b9b40
133aa598609
14219084920
1513454dd76
hexba44e620

3125077536 has 96 divisors (see below), whose sum is σ = 9429775488. Its totient is φ = 887685120.

The previous prime is 3125077507. The next prime is 3125077619. The reversal of 3125077536 is 6357705213.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×31250775362 = 19532219212023662592, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3125077494 and 3125077503.

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, 102816 + ... + 129696.

It is an arithmetic number, because the mean of its divisors is an integer number (98226828).

Almost surely, 23125077536 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 3125077536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4714887744).

3125077536 is an abundant number, since it is smaller than the sum of its proper divisors (6304697952).

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

3125077536 is a wasteful number, since it uses less digits than its factorization.

3125077536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27074 (or 27066 counting only the distinct ones).

The product of its (nonzero) digits is 132300, while the sum is 39.

The square root of 3125077536 is about 55902.3929362599. The cubic root of 3125077536 is about 1462.0209605605.

The spelling of 3125077536 in words is "three billion, one hundred twenty-five million, seventy-seven thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 173 224 336 346 519 672 692 1038 1211 1384 2076 2422 2768 3633 4152 4844 5536 7266 8304 9688 14532 16608 19376 26881 29064 38752 53762 58128 80643 107524 116256 161286 188167 215048 322572 376334 430096 564501 645144 752668 860192 1129002 1290288 1505336 2258004 2580576 3010672 4516008 4650413 6021344 9032016 9300826 13951239 18064032 18601652 27902478 32552891 37203304 55804956 65105782 74406608 97658673 111609912 130211564 148813216 195317346 223219824 260423128 390634692 446439648 520846256 781269384 1041692512 1562538768 3125077536