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252234666432252 = 22337333643738667
BaseRepresentation
bin111001010110011111110101…
…101100010101011011111100
31020002002101202120221002012000
4321112133311230111123330
5231030103044101313002
62252243001151542300
7104062232113226430
oct7126376554253374
91202071676832160
10252234666432252
1173408137503029
122435892752a990
13aa9881c63739a
144640319c789c0
151e2630879161c
hexe567f5b156fc

252234666432252 has 48 divisors (see below), whose sum is σ = 747361974616320. Its totient is φ = 72067047551856.

The previous prime is 252234666432251. The next prime is 252234666432317.

252234666432252 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252234666432251) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 166821868578 + ... + 166821870089.

It is an arithmetic number, because the mean of its divisors is an integer number (15570041137840).

Almost surely, 2252234666432252 is an apocalyptic number.

It is an amenable number.

252234666432252 is an abundant number, since it is smaller than the sum of its proper divisors (495127308184068).

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

252234666432252 is a wasteful number, since it uses less digits than its factorization.

252234666432252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333643738687 (or 333643738679 counting only the distinct ones).

The product of its digits is 49766400, while the sum is 54.

The spelling of 252234666432252 in words is "two hundred fifty-two trillion, two hundred thirty-four billion, six hundred sixty-six million, four hundred thirty-two thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 756 333643738667 667287477334 1000931216001 1334574954668 2001862432002 2335506170669 3002793648003 4003724864004 4671012341338 6005587296006 7006518512007 9008380944009 9342024682676 12011174592012 14013037024014 18016761888018 21019555536021 28026074048028 36033523776036 42039111072042 63058666608063 84078222144084 126117333216126 252234666432252