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45823535352 = 23337231317677
BaseRepresentation
bin101010101011010010…
…111010100011111000
311101021112001210012000
4222223102322203320
51222321311112402
633015005221000
73211356423660
oct525322724370
9141245053160
1045823535352
1118485211381
128a6a261760
13442371467a
142309ba31a0
1512d2db3c1c
hexaab4ba8f8

45823535352 has 128 divisors (see below), whose sum is σ = 151796505600. Its totient is φ = 12523192704.

The previous prime is 45823535327. The next prime is 45823535383. The reversal of 45823535352 is 25353532854.

45823535352 is a `hidden beast` number, since 4 + 5 + 82 + 3 + 535 + 35 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 45823535298 and 45823535307.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 624063 + ... + 693614.

It is an arithmetic number, because the mean of its divisors is an integer number (1185910200).

Almost surely, 245823535352 is an apocalyptic number.

45823535352 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

45823535352 is an abundant number, since it is smaller than the sum of its proper divisors (105972970248).

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

45823535352 is a wasteful number, since it uses less digits than its factorization.

45823535352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1317722 (or 1317712 counting only the distinct ones).

The product of its digits is 2160000, while the sum is 45.

The spelling of 45823535352 in words is "forty-five billion, eight hundred twenty-three million, five hundred thirty-five thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 23 24 27 28 36 42 46 54 56 63 69 72 84 92 108 126 138 161 168 184 189 207 216 252 276 322 378 414 483 504 552 621 644 756 828 966 1242 1288 1449 1512 1656 1932 2484 2898 3864 4347 4968 5796 8694 11592 17388 34776 1317677 2635354 3953031 5270708 7906062 9223739 10541416 11859093 15812124 18447478 23718186 27671217 30306571 31624248 35577279 36894956 47436372 55342434 60613142 71154558 73789912 83013651 90919713 94872744 110684868 121226284 142309116 166027302 181839426 212145997 221369736 242452568 249040953 272759139 284618232 332054604 363678852 424291994 498081906 545518278 636437991 664109208 727357704 818277417 848583988 996163812 1091036556 1272875982 1636554834 1697167976 1909313973 1992327624 2182073112 2545751964 3273109668 3818627946 5091503928 5727941919 6546219336 7637255892 11455883838 15274511784 22911767676 45823535352