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10032564540 = 2235473557647
BaseRepresentation
bin10010101011111110…
…01100100100111100
3221220012001002021110
421111333030210330
5131021314031130
64335304402020
7503421251205
oct112577144474
927805032243
1010032564540
114289137259
121b3ba76310
13c3b67c82b
146b25dc5ac
153dab91ab0
hex255fcc93c

10032564540 has 48 divisors (see below), whose sum is σ = 28688873472. Its totient is φ = 2618427456.

The previous prime is 10032564539. The next prime is 10032564589. The reversal of 10032564540 is 4546523001.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 10032564498 and 10032564507.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1776004 + ... + 1781643.

It is an arithmetic number, because the mean of its divisors is an integer number (597684864).

Almost surely, 210032564540 is an apocalyptic number.

10032564540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10032564540 is an abundant number, since it is smaller than the sum of its proper divisors (18656308932).

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

10032564540 is a wasteful number, since it uses less digits than its factorization.

10032564540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3557706 (or 3557704 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The spelling of 10032564540 in words is "ten billion, thirty-two million, five hundred sixty-four thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 47 60 94 141 188 235 282 470 564 705 940 1410 2820 3557647 7115294 10672941 14230588 17788235 21345882 35576470 42691764 53364705 71152940 106729410 167209409 213458820 334418818 501628227 668837636 836047045 1003256454 1672094090 2006512908 2508141135 3344188180 5016282270 10032564540