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45032202252 = 22321975778689
BaseRepresentation
bin101001111100001000…
…001110000000001100
311022020101000220020200
4221330020032000030
51214211220433002
632404300213500
73152640255252
oct517410160014
9138211026220
1045032202252
1118109560084
12888923a290
1343287a762b
142272a525d2
15128869eb1c
hexa7c20e00c

45032202252 has 72 divisors (see below), whose sum is σ = 119852132400. Its totient is φ = 14217182208.

The previous prime is 45032202247. The next prime is 45032202301. The reversal of 45032202252 is 25220223054.

45032202252 is a `hidden beast` number, since 450 + 3 + 2 + 202 + 2 + 5 + 2 = 666.

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 23 ways as a sum of consecutive naturals, for example, 5178324 + ... + 5187012.

It is an arithmetic number, because the mean of its divisors is an integer number (1664612950).

Almost surely, 245032202252 is an apocalyptic number.

It is an amenable number.

45032202252 is an abundant number, since it is smaller than the sum of its proper divisors (74819930148).

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

45032202252 is a wasteful number, since it uses less digits than its factorization.

45032202252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16295 (or 16290 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

The spelling of 45032202252 in words is "forty-five billion, thirty-two million, two hundred two thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 684 7577 8689 15154 17378 22731 26067 30308 34756 45462 52134 68193 78201 90924 104268 136386 143963 156402 165091 272772 287926 312804 330182 431889 495273 575852 660364 863778 990546 1295667 1485819 1727556 1981092 2591334 2971638 5182668 5943276 65836553 131673106 197509659 263346212 395019318 592528977 790038636 1185057954 1250894507 2370115908 2501789014 3752683521 5003578028 7505367042 11258050563 15010734084 22516101126 45032202252