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190129012965 = 345617695973
BaseRepresentation
bin1011000100010010010…
…0101000000011100101
3200011202102021120220000
42301010210220003211
511103341011403330
6223202152331513
716510400642103
oct2610444500345
9604672246800
10190129012965
11736a6964581
1230a219a3b99
1314c10293148
1492b9142c73
154e2ba9c560
hex2c449280e5

190129012965 has 40 divisors (see below), whose sum is σ = 346411181688. Its totient is φ = 99739797120.

The previous prime is 190129012963. The next prime is 190129013023. The reversal of 190129012965 is 569210921091.

It can be written as a sum of positive squares in 4 ways, for example, as 15423404481 + 174705608484 = 124191^2 + 417978^2 .

It is not a de Polignac number, because 190129012965 - 21 = 190129012963 is a prime.

It is a super-2 number, since 2×1901290129652 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 190129012965.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (190129012963) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3823282 + ... + 3872691.

Almost surely, 2190129012965 is an apocalyptic number.

190129012965 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

190129012965 is a deficient number, since it is larger than the sum of its proper divisors (156282168723).

190129012965 is an equidigital number, since it uses as much as digits as its factorization.

190129012965 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7696051 (or 7696042 counting only the distinct ones).

The product of its (nonzero) digits is 87480, while the sum is 45.

The spelling of 190129012965 in words is "one hundred ninety billion, one hundred twenty-nine million, twelve thousand, nine hundred sixty-five".

Divisors: 1 3 5 9 15 27 45 61 81 135 183 305 405 549 915 1647 2745 4941 8235 24705 7695973 23087919 38479865 69263757 115439595 207791271 346318785 469454353 623373813 1038956355 1408363059 2347271765 3116869065 4225089177 7041815295 12675267531 21125445885 38025802593 63376337655 190129012965