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10169292132 = 2232282480337
BaseRepresentation
bin10010111100010001…
…10001010101100100
3222020201022120021100
421132020301111210
5131311314322012
64401031120100
7510001362006
oct113610612544
928221276240
1010169292132
11434933376a
121b79813030
13c60ab252c
146c6830376
153e7b9d8dc
hex25e231564

10169292132 has 18 divisors (see below), whose sum is σ = 25705710758. Its totient is φ = 3389764032.

The previous prime is 10169292113. The next prime is 10169292137. The reversal of 10169292132 is 23129296101.

It can be written as a sum of positive squares in only one way, i.e., 9987204096 + 182088036 = 99936^2 + 13494^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-3 number, since 3×101692921323 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 282480337 = 10169292132 / (1 + 0 + 1 + 6 + 9 + 2 + 9 + 2 + 1 + 3 + 2).

It is not an unprimeable number, because it can be changed into a prime (10169292137) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 141240133 + ... + 141240204.

Almost surely, 210169292132 is an apocalyptic number.

10169292132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10169292132 is an abundant number, since it is smaller than the sum of its proper divisors (15536418626).

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

10169292132 is a wasteful number, since it uses less digits than its factorization.

10169292132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282480347 (or 282480342 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The spelling of 10169292132 in words is "ten billion, one hundred sixty-nine million, two hundred ninety-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 282480337 564960674 847441011 1129921348 1694882022 2542323033 3389764044 5084646066 10169292132