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10626725040 = 2435214120681
BaseRepresentation
bin10011110010110011…
…01111010010110000
31000102121001120020220
421321121233102300
5133230420200130
64514251333040
7524224446441
oct117131572260
930377046226
1010626725040
114563566898
122086a51180
1310047b24a9
1472b4a52c8
15422e09410
hex27966f4b0

10626725040 has 80 divisors (see below), whose sum is σ = 32959827936. Its totient is φ = 2832332800.

The previous prime is 10626725017. The next prime is 10626725047. The reversal of 10626725040 is 4052762601.

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

It is a super-2 number, since 2×106267250402 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10626724992 and 10626725010.

It is not an unprimeable number, because it can be changed into a prime (10626725047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 503500 + ... + 524180.

Almost surely, 210626725040 is an apocalyptic number.

10626725040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10626725040 is an abundant number, since it is smaller than the sum of its proper divisors (22333102896).

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

10626725040 is a wasteful number, since it uses less digits than its factorization.

10626725040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22838 (or 22832 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The spelling of 10626725040 in words is "ten billion, six hundred twenty-six million, seven hundred twenty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 2141 4282 6423 8564 10705 12846 17128 20681 21410 25692 32115 34256 41362 42820 51384 62043 64230 82724 85640 102768 103405 124086 128460 165448 171280 206810 248172 256920 310215 330896 413620 496344 513840 620430 827240 992688 1240860 1654480 2481720 4963440 44278021 88556042 132834063 177112084 221390105 265668126 354224168 442780210 531336252 664170315 708448336 885560420 1062672504 1328340630 1771120840 2125345008 2656681260 3542241680 5313362520 10626725040