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10811252640 = 253543523801
BaseRepresentation
bin10100001000110011…
…01001111110100000
31000220110021112112110
422010121221332200
5134120140041030
64544442355320
7531625062666
oct120431517640
930813245473
1010811252640
114648741141
1221187bbb40
131033ab0116
14747bbac36
154342091b0
hex284669fa0

10811252640 has 96 divisors (see below), whose sum is σ = 34847499456. Its totient is φ = 2815948800.

The previous prime is 10811252633. The next prime is 10811252651. The reversal of 10811252640 is 4625211801.

It is a tau number, because it is divible by the number of its divisors (96).

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 = 10811252598 and 10811252607.

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, 241261 + ... + 282540.

It is an arithmetic number, because the mean of its divisors is an integer number (362994786).

Almost surely, 210811252640 is an apocalyptic number.

10811252640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10811252640 is an abundant number, since it is smaller than the sum of its proper divisors (24036246816).

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

10811252640 is a wasteful number, since it uses less digits than its factorization.

10811252640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 523862 (or 523854 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The spelling of 10811252640 in words is "ten billion, eight hundred eleven million, two hundred fifty-two thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 43 48 60 80 86 96 120 129 160 172 215 240 258 344 430 480 516 645 688 860 1032 1290 1376 1720 2064 2580 3440 4128 5160 6880 10320 20640 523801 1047602 1571403 2095204 2619005 3142806 4190408 5238010 6285612 7857015 8380816 10476020 12571224 15714030 16761632 20952040 22523443 25142448 31428060 41904080 45046886 50284896 62856120 67570329 83808160 90093772 112617215 125712240 135140658 180187544 225234430 251424480 270281316 337851645 360375088 450468860 540562632 675703290 720750176 900937720 1081125264 1351406580 1801875440 2162250528 2702813160 3603750880 5405626320 10811252640