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45303164964 = 22322774579941
BaseRepresentation
bin101010001100010001…
…110111000000100100
311022221020220020012200
4222030101313000210
51220240102234324
632451220014500
73162440356101
oct521421670044
9138836806180
1045303164964
1118238501402
128943b31430
13436c9796b5
14229aa27aa8
1512a2374ec9
hexa8c477024

45303164964 has 72 divisors (see below), whose sum is σ = 115192823928. Its totient is φ = 15012103680.

The previous prime is 45303164939. The next prime is 45303164993. The reversal of 45303164964 is 46946130354.

45303164964 is a `hidden beast` number, since 4 + 530 + 3 + 16 + 49 + 64 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 49112064 + 45254052900 = 7008^2 + 212730^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4552234 + ... + 4562174.

Almost surely, 245303164964 is an apocalyptic number.

It is an amenable number.

45303164964 is an abundant number, since it is smaller than the sum of its proper divisors (69889658964).

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

45303164964 is a wasteful number, since it uses less digits than its factorization.

45303164964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10685 (or 10680 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 45303164964 in words is "forty-five billion, three hundred three million, one hundred sixty-four thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 277 457 554 831 914 1108 1371 1662 1828 2493 2742 3324 4113 4986 5484 8226 9941 9972 16452 19882 29823 39764 59646 89469 119292 126589 178938 253178 357876 379767 506356 759534 1139301 1519068 2278602 2753657 4543037 4557204 5507314 8260971 9086074 11014628 13629111 16521942 18172148 24782913 27258222 33043884 40887333 49565826 54516444 81774666 99131652 163549332 1258421249 2516842498 3775263747 5033684996 7550527494 11325791241 15101054988 22651582482 45303164964