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10012537680 = 2435291438583
BaseRepresentation
bin10010101001100101…
…10011001101010000
3221211210100121120220
421110302303031100
5131001202201210
64333311233040
7503056110645
oct112462631520
927753317526
1010012537680
1142788a8832
121b35218780
13c3748a112
146adaa7dcc
153d9037c70
hex254cb3350

10012537680 has 80 divisors (see below), whose sum is σ = 32109194880. Its totient is φ = 2577938944.

The previous prime is 10012537679. The next prime is 10012537741. The reversal of 10012537680 is 8673521001.

It is a tau number, because it is divible by the number of its divisors (80).

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, 712332 + ... + 726251.

It is an arithmetic number, because the mean of its divisors is an integer number (401364936).

Almost surely, 210012537680 is an apocalyptic number.

10012537680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10012537680 is an abundant number, since it is smaller than the sum of its proper divisors (22096657200).

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

10012537680 is a wasteful number, since it uses less digits than its factorization.

10012537680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1438628 (or 1438622 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The spelling of 10012537680 in words is "ten billion, twelve million, five hundred thirty-seven thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 40 48 58 60 80 87 116 120 145 174 232 240 290 348 435 464 580 696 870 1160 1392 1740 2320 3480 6960 1438583 2877166 4315749 5754332 7192915 8631498 11508664 14385830 17262996 21578745 23017328 28771660 34525992 41718907 43157490 57543320 69051984 83437814 86314980 115086640 125156721 166875628 172629960 208594535 250313442 333751256 345259920 417189070 500626884 625783605 667502512 834378140 1001253768 1251567210 1668756280 2002507536 2503134420 3337512560 5006268840 10012537680