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45073691136 = 29333260539
BaseRepresentation
bin101001111110100110…
…011111001000000000
311022100021002202022000
4221332212133020000
51214302331104021
632412341344000
73153653024145
oct517646371000
9138307082260
1045073691136
111812aa18311
12889b108000
134334272a76
1422783723cc
15128c147b26
hexa7e99f200

45073691136 has 80 divisors (see below), whose sum is σ = 133421296800. Its totient is φ = 15024559104.

The previous prime is 45073691129. The next prime is 45073691171. The reversal of 45073691136 is 63119637054.

It is a happy number.

45073691136 is a `hidden beast` number, since 4 + 507 + 3 + 6 + 9 + 1 + 136 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 45073691091 and 45073691100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1616446 + ... + 1644093.

It is an arithmetic number, because the mean of its divisors is an integer number (1667766210).

Almost surely, 245073691136 is an apocalyptic number.

It is an amenable number.

45073691136 is an abundant number, since it is smaller than the sum of its proper divisors (88347605664).

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

45073691136 is an equidigital number, since it uses as much as digits as its factorization.

45073691136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3260566 (or 3260544 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 45073691136 in words is "forty-five billion, seventy-three million, six hundred ninety-one thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1152 1536 1728 2304 3456 4608 6912 13824 3260539 6521078 9781617 13042156 19563234 26084312 29344851 39126468 52168624 58689702 78252936 88034553 104337248 117379404 156505872 176069106 208674496 234758808 313011744 352138212 417348992 469517616 626023488 704276424 834697984 939035232 1252046976 1408552848 1669395968 1878070464 2504093952 2817105696 3756140928 5008187904 5634211392 7512281856 11268422784 15024563712 22536845568 45073691136