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45707658240 = 210352975759
BaseRepresentation
bin101010100100011000…
…111000010000000000
311100222110000121200010
4222210120320100000
51222102130030430
632555305424520
73205451453556
oct524430702000
9140873017603
1045707658240
1118425866172
128a3749b140
13440570222a
1422d863bbd6
1512c7b24cb0
hexaa4638400

45707658240 has 88 divisors (see below), whose sum is σ = 146193137280. Its totient is φ = 12188704768.

The previous prime is 45707658229. The next prime is 45707658257. The reversal of 45707658240 is 4285670754.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 45707658240.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1472520 + ... + 1503239.

Almost surely, 245707658240 is an apocalyptic number.

45707658240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45707658240 is an abundant number, since it is smaller than the sum of its proper divisors (100485479040).

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

45707658240 is a wasteful number, since it uses less digits than its factorization.

45707658240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2975787 (or 2975769 counting only the distinct ones).

The product of its (nonzero) digits is 1881600, while the sum is 48.

The spelling of 45707658240 in words is "forty-five billion, seven hundred seven million, six hundred fifty-eight thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1024 1280 1536 1920 2560 3072 3840 5120 7680 15360 2975759 5951518 8927277 11903036 14878795 17854554 23806072 29757590 35709108 44636385 47612144 59515180 71418216 89272770 95224288 119030360 142836432 178545540 190448576 238060720 285672864 357091080 380897152 476121440 571345728 714182160 761794304 952242880 1142691456 1428364320 1523588608 1904485760 2285382912 2856728640 3047177216 3808971520 4570765824 5713457280 7617943040 9141531648 11426914560 15235886080 22853829120 45707658240