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10929212640 = 253257589731
BaseRepresentation
bin10100010110110111…
…01000110011100000
31001012200020112020100
422023123220303200
5134340334301030
65004254542400
7534556526463
oct121333506340
931180215210
1010929212640
1146a928a245
122150207a00
131052371638
147597252da
1543e75a360
hex28b6e8ce0

10929212640 has 72 divisors (see below), whose sum is σ = 37295943048. Its totient is φ = 2914456320.

The previous prime is 10929212617. The next prime is 10929212647. The reversal of 10929212640 is 4621292901.

10929212640 is a `hidden beast` number, since 1 + 0 + 9 + 2 + 9 + 2 + 1 + 2 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10929212595 and 10929212604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10929212647) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3793426 + ... + 3796305.

It is an arithmetic number, because the mean of its divisors is an integer number (517999209).

Almost surely, 210929212640 is an apocalyptic number.

10929212640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10929212640 is an abundant number, since it is smaller than the sum of its proper divisors (26366730408).

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

10929212640 is a wasteful number, since it uses less digits than its factorization.

10929212640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7589752 (or 7589741 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 10929212640 in words is "ten billion, nine hundred twenty-nine million, two hundred twelve thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 7589731 15179462 22769193 30358924 37948655 45538386 60717848 68307579 75897310 91076772 113845965 121435696 136615158 151794620 182153544 227691930 242871392 273230316 303589240 341537895 364307088 455383860 546460632 607178480 683075790 728614176 910767720 1092921264 1214356960 1366151580 1821535440 2185842528 2732303160 3643070880 5464606320 10929212640