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45655660752 = 24313157946337
BaseRepresentation
bin101010100001010010…
…100001100011010000
311100211211011212112020
4222201102201203100
51222000322121002
632550211131440
73204250466442
oct524122414320
9140754155466
1045655660752
11183a9480739
128a21ba3b80
1343c79c78a0
1422d1784492
1512c32a32bc
hexaa14a18d0

45655660752 has 80 divisors (see below), whose sum is σ = 127099573440. Its totient is φ = 14038695936.

The previous prime is 45655660727. The next prime is 45655660753. The reversal of 45655660752 is 25706655654.

It is a junction number, because it is equal to n+sod(n) for n = 45655660695 and 45655660704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45655660753) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 962128 + ... + 1008464.

It is an arithmetic number, because the mean of its divisors is an integer number (1588744668).

Almost surely, 245655660752 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 45655660752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63549786720).

45655660752 is an abundant number, since it is smaller than the sum of its proper divisors (81443912688).

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

45655660752 is a wasteful number, since it uses less digits than its factorization.

45655660752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47940 (or 47934 counting only the distinct ones).

The product of its (nonzero) digits is 7560000, while the sum is 51.

The spelling of 45655660752 in words is "forty-five billion, six hundred fifty-five million, six hundred sixty thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 624 1579 3158 4737 6316 9474 12632 18948 20527 25264 37896 41054 46337 61581 75792 82108 92674 123162 139011 164216 185348 246324 278022 328432 370696 492648 556044 602381 741392 985296 1112088 1204762 1807143 2224176 2409524 3614286 4819048 7228572 9638096 14457144 28914288 73166123 146332246 219498369 292664492 438996738 585328984 877993476 951159599 1170657968 1755986952 1902319198 2853478797 3511973904 3804638396 5706957594 7609276792 11413915188 15218553584 22827830376 45655660752