Search a number
-
+
45771155136 = 263373783991
BaseRepresentation
bin101010101000001011…
…000110011011000000
311101010212111121001000
4222220023012123000
51222214403431021
633005454412000
73210152253660
oct525013063300
9141125447030
1045771155136
1118458695343
128a54801000
134415904a65
142302c4a1a0
1512cd4b8b26
hexaa82c66c0

45771155136 has 112 divisors (see below), whose sum is σ = 153781434880. Its totient is φ = 13077469440.

The previous prime is 45771155099. The next prime is 45771155159. The reversal of 45771155136 is 63155117754.

45771155136 is a `hidden beast` number, since 4 + 57 + 7 + 11 + 551 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 45771155091 and 45771155100.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1879900 + ... + 1904091.

Almost surely, 245771155136 is an apocalyptic number.

It is an amenable number.

45771155136 is an abundant number, since it is smaller than the sum of its proper divisors (108010279744).

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

45771155136 is a wasteful number, since it uses less digits than its factorization.

45771155136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3784019 (or 3784003 counting only the distinct ones).

The product of its digits is 441000, while the sum is 45.

The spelling of 45771155136 in words is "forty-five billion, seven hundred seventy-one million, one hundred fifty-five thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 144 168 189 192 216 224 252 288 336 378 432 448 504 576 672 756 864 1008 1344 1512 1728 2016 3024 4032 6048 12096 3783991 7567982 11351973 15135964 22703946 26487937 30271928 34055919 45407892 52975874 60543856 68111838 79463811 90815784 102167757 105951748 121087712 136223676 158927622 181631568 204335514 211903496 238391433 242175424 272447352 317855244 363263136 408671028 423806992 476782866 544894704 635710488 715174299 726526272 817342056 847613984 953565732 1089789408 1271420976 1430348598 1634684112 1695227968 1907131464 2179578816 2542841952 2860697196 3269368224 3814262928 5085683904 5721394392 6538736448 7628525856 11442788784 15257051712 22885577568 45771155136