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10816121480 = 2351715906061
BaseRepresentation
bin10100001001011000…
…01110101010001000
31000220210102220022212
422010230032222020
5134122411341410
64545135004252
7532014341603
oct120454165210
930823386285
1010816121480
11465046717a
12211a369688
131034ac62a8
147486c733a
1543486bb05
hex284b0ea88

10816121480 has 32 divisors (see below), whose sum is σ = 25767820440. Its totient is φ = 4071951360.

The previous prime is 10816121471. The next prime is 10816121527. The reversal of 10816121480 is 8412161801.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 10812256324 + 3865156 = 103982^2 + 1966^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7952351 + ... + 7953710.

Almost surely, 210816121480 is an apocalyptic number.

10816121480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10816121480 is an abundant number, since it is smaller than the sum of its proper divisors (14951698960).

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

10816121480 is a wasteful number, since it uses less digits than its factorization.

10816121480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15906089 (or 15906085 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 32.

The spelling of 10816121480 in words is "ten billion, eight hundred sixteen million, one hundred twenty-one thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 15906061 31812122 63624244 79530305 127248488 159060610 270403037 318121220 540806074 636242440 1081612148 1352015185 2163224296 2704030370 5408060740 10816121480