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45732661632 = 273275671213
BaseRepresentation
bin101010100101111000…
…010000100110000000
311101001012001220212200
4222211320100212000
51222130030133012
633002001353200
73206204132010
oct524570204600
9141035056780
1045732661632
1118438993629
128a43938800
13440a947b38
1422dbaa9c40
1512c9e133dc
hexaa5e10980

45732661632 has 96 divisors (see below), whose sum is σ = 150400595280. Its totient is φ = 13066472448.

The previous prime is 45732661603. The next prime is 45732661697. The reversal of 45732661632 is 23616623754.

45732661632 is a `hidden beast` number, since 4 + 5 + 7 + 3 + 2 + 6 + 6 + 1 + 632 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 2827543 + ... + 2843670.

Almost surely, 245732661632 is an apocalyptic number.

45732661632 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

45732661632 is an abundant number, since it is smaller than the sum of its proper divisors (104667933648).

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

45732661632 is a wasteful number, since it uses less digits than its factorization.

45732661632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5671240 (or 5671225 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 45.

The spelling of 45732661632 in words is "forty-five billion, seven hundred thirty-two million, six hundred sixty-one thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 288 336 384 448 504 576 672 896 1008 1152 1344 2016 2688 4032 8064 5671213 11342426 17013639 22684852 34027278 39698491 45369704 51040917 68054556 79396982 90739408 102081834 119095473 136109112 158793964 181478816 204163668 238190946 272218224 317587928 357286419 362957632 408327336 476381892 544436448 635175856 714572838 725915264 816654672 952763784 1088872896 1270351712 1429145676 1633309344 1905527568 2177745792 2540703424 2858291352 3266618688 3811055136 5081406848 5716582704 6533237376 7622110272 11433165408 15244220544 22866330816 45732661632