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45537605744 = 24311912332063
BaseRepresentation
bin101010011010010000…
…001011100001110000
311100112121001001111112
4222122100023201300
51221230111340434
632530352532452
73201315155651
oct523220134160
9140477031445
1045537605744
1118348878214
1289aa551128
1343a9402057
1422bdc13528
1512b7c33dce
hexa9a40b870

45537605744 has 80 divisors (see below), whose sum is σ = 91989540864. Its totient is φ = 21814310400.

The previous prime is 45537605681. The next prime is 45537605753. The reversal of 45537605744 is 44750673554.

It is a junction number, because it is equal to n+sod(n) for n = 45537605692 and 45537605701.

It is a congruent number.

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, 22072457 + ... + 22074519.

Almost surely, 245537605744 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 45537605744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45994770432).

45537605744 is an abundant number, since it is smaller than the sum of its proper divisors (46451935120).

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

45537605744 is a wasteful number, since it uses less digits than its factorization.

45537605744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2526 (or 2520 counting only the distinct ones).

The product of its (nonzero) digits is 7056000, while the sum is 50.

The spelling of 45537605744 in words is "forty-five billion, five hundred thirty-seven million, six hundred five thousand, seven hundred forty-four".

Divisors: 1 2 4 8 16 31 62 124 191 233 248 382 466 496 764 932 1528 1864 2063 3056 3728 4126 5921 7223 8252 11842 14446 16504 23684 28892 33008 44503 47368 57784 63953 89006 94736 115568 127906 178012 255812 356024 394033 480679 511624 712048 788066 961358 1023248 1379593 1576132 1922716 2759186 3152264 3845432 5518372 6304528 7690864 11036744 12215023 14901049 22073488 24430046 29802098 48860092 59604196 91809689 97720184 119208392 183619378 195440368 238416784 367238756 734477512 1468955024 2846100359 5692200718 11384401436 22768802872 45537605744