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45262640768 = 274143120011
BaseRepresentation
bin101010001001110111…
…010001011010000000
311022211102122101110112
4222021313101122000
51220144214001033
632443211250452
73161436045542
oct521167213200
9138742571415
1045262640768
1118217642a34
128932449a28
13436445b397
1422954b9692
15129da1cc48
hexa89dd1680

45262640768 has 64 divisors (see below), whose sum is σ = 92589920640. Its totient is φ = 22027008000.

The previous prime is 45262640749. The next prime is 45262640791. The reversal of 45262640768 is 86704626254.

It is a tau number, because it is divible by the number of its divisors (64).

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, 2251883 + ... + 2271893.

It is an arithmetic number, because the mean of its divisors is an integer number (1446717510).

Almost surely, 245262640768 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 45262640768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46294960320).

45262640768 is an abundant number, since it is smaller than the sum of its proper divisors (47327279872).

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

45262640768 is a wasteful number, since it uses less digits than its factorization.

45262640768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20497 (or 20485 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 50.

It can be divided in two parts, 452626 and 40768, that added together give a palindrome (493394).

The spelling of 45262640768 in words is "forty-five billion, two hundred sixty-two million, six hundred forty thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 16 32 41 64 82 128 164 328 431 656 862 1312 1724 2624 3448 5248 6896 13792 17671 20011 27584 35342 40022 55168 70684 80044 141368 160088 282736 320176 565472 640352 820451 1130944 1280704 1640902 2261888 2561408 3281804 6563608 8624741 13127216 17249482 26254432 34498964 52508864 68997928 105017728 137995856 275991712 353614381 551983424 707228762 1103966848 1414457524 2828915048 5657830096 11315660192 22631320384 45262640768