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45942631232 = 263772726687
BaseRepresentation
bin101010110010011001…
…001110101101000000
311101120211011111000112
4222302121032231000
51223042303144412
633034502010452
73214333631201
oct526231165500
9141524144015
1045942631232
1118536465923
128aa2116a28
1344422b2bc4
14231b9255a8
1512dd58b722
hexab264eb40

45942631232 has 56 divisors (see below), whose sum is σ = 93763697664. Its totient is φ = 22318889472.

The previous prime is 45942631213. The next prime is 45942631309. The reversal of 45942631232 is 23213624954.

It is a super-2 number, since 2×459426312322 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 45942631232.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1708193 + ... + 1734879.

It is an arithmetic number, because the mean of its divisors is an integer number (1674351744).

Almost surely, 245942631232 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 45942631232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46881848832).

45942631232 is an abundant number, since it is smaller than the sum of its proper divisors (47821066432).

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

45942631232 is a wasteful number, since it uses less digits than its factorization.

45942631232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27463 (or 27453 counting only the distinct ones).

The product of its digits is 311040, while the sum is 41.

The spelling of 45942631232 in words is "forty-five billion, nine hundred forty-two million, six hundred thirty-one thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 32 37 64 74 148 296 592 727 1184 1454 2368 2908 5816 11632 23264 26687 26899 46528 53374 53798 106748 107596 213496 215192 426992 430384 853984 860768 987419 1707968 1721536 1974838 3949676 7899352 15798704 19401449 31597408 38802898 63194816 77605796 155211592 310423184 620846368 717853613 1241692736 1435707226 2871414452 5742828904 11485657808 22971315616 45942631232