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45941673632 = 253122575813
BaseRepresentation
bin101010110010010101…
…100100111010100000
311101120202100211102212
4222302111210322200
51223042032024012
633034425301252
73214322532311
oct526225447240
9141522324385
1045941673632
1118535971418
128aa1934828
13444203908a
14231b756608
1512dd44cb22
hexab2564ea0

45941673632 has 72 divisors (see below), whose sum is σ = 93839250708. Its totient is φ = 22139535360.

The previous prime is 45941673619. The next prime is 45941673649. The reversal of 45941673632 is 23637614954.

It can be written as a sum of positive squares in 2 ways, for example, as 37948598416 + 7993075216 = 194804^2 + 89404^2 .

It is a super-2 number, since 2×459416736322 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7900358 + ... + 7906170.

Almost surely, 245941673632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45941673632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46919625354).

45941673632 is an abundant number, since it is smaller than the sum of its proper divisors (47897577076).

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

45941673632 is a wasteful number, since it uses less digits than its factorization.

45941673632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6142 (or 6103 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 50.

The spelling of 45941673632 in words is "forty-five billion, nine hundred forty-one million, six hundred seventy-three thousand, six hundred thirty-two".

Divisors: 1 2 4 8 16 31 32 62 124 248 257 496 514 961 992 1028 1922 2056 3844 4112 5813 7688 7967 8224 11626 15376 15934 23252 30752 31868 46504 63736 93008 127472 180203 186016 246977 254944 360406 493954 720812 987908 1441624 1493941 1975816 2883248 2987882 3951632 5586293 5766496 5975764 7903264 11172586 11951528 22345172 23903056 44690344 46312171 47806112 89380688 92624342 178761376 185248684 370497368 740994736 1435677301 1481989472 2871354602 5742709204 11485418408 22970836816 45941673632