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10282627644 = 22312725126881
BaseRepresentation
bin10011001001110010…
…00111001000111100
3222112121120121100220
421210321013020330
5132024323041034
64420200221340
7512545615152
oct114471071074
928477517326
1010282627644
1143a7303383
121bab76a850
13c7b414b73
146d78d33d2
15402ad9749
hex264e4723c

10282627644 has 48 divisors (see below), whose sum is σ = 24278962176. Its totient is φ = 3386880000.

The previous prime is 10282627631. The next prime is 10282627669. The reversal of 10282627644 is 44672628201.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10282627596 and 10282627605.

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, 369084 + ... + 395964.

It is an arithmetic number, because the mean of its divisors is an integer number (505811712).

Almost surely, 210282627644 is an apocalyptic number.

It is an amenable number.

10282627644 is an abundant number, since it is smaller than the sum of its proper divisors (13996334532).

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

10282627644 is a wasteful number, since it uses less digits than its factorization.

10282627644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27266 (or 27264 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 42.

The spelling of 10282627644 in words is "ten billion, two hundred eighty-two million, six hundred twenty-seven thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 12 127 251 254 381 502 508 753 762 1004 1506 1524 3012 26881 31877 53762 63754 80643 95631 107524 127508 161286 191262 322572 382524 3413887 6747131 6827774 10241661 13494262 13655548 20241393 20483322 26988524 40482786 40966644 80965572 856885637 1713771274 2570656911 3427542548 5141313822 10282627644