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10625898720 = 253585925771
BaseRepresentation
bin10011110010101101…
…00101100011100000
31000102112111120202110
421321112211203200
5133230212224340
64514221515320
7524214435363
oct117126454340
930375446673
1010625898720
114563051a88
122086712b40
131004583348
1472b32c0da
15422ce4680
hex2795a58e0

10625898720 has 96 divisors (see below), whose sum is σ = 33511847040. Its totient is φ = 2830164480.

The previous prime is 10625898709. The next prime is 10625898733. The reversal of 10625898720 is 2789852601.

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

It is a super-2 number, since 2×106258987202 (a number of 21 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 10625898720.

It is a congruent number.

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, 399435 + ... + 425205.

It is an arithmetic number, because the mean of its divisors is an integer number (349081740).

Almost surely, 210625898720 is an apocalyptic number.

10625898720 is a gapful number since it is divisible by the number (10) 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 10625898720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16755923520).

10625898720 is an abundant number, since it is smaller than the sum of its proper divisors (22885948320).

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

10625898720 is a wasteful number, since it uses less digits than its factorization.

10625898720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26648 (or 26640 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 48.

The spelling of 10625898720 in words is "ten billion, six hundred twenty-five million, eight hundred ninety-eight thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 859 1718 2577 3436 4295 5154 6872 8590 10308 12885 13744 17180 20616 25770 25771 27488 34360 41232 51540 51542 68720 77313 82464 103080 103084 128855 137440 154626 206160 206168 257710 309252 386565 412320 412336 515420 618504 773130 824672 1030840 1237008 1546260 2061680 2474016 3092520 4123360 6185040 12370080 22137289 44274578 66411867 88549156 110686445 132823734 177098312 221372890 265647468 332059335 354196624 442745780 531294936 664118670 708393248 885491560 1062589872 1328237340 1770983120 2125179744 2656474680 3541966240 5312949360 10625898720