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20372153152 = 261394126021
BaseRepresentation
bin10010111110010001…
…100110001101000000
31221120202210121101211
4102332101212031000
5313210232400102
613205301535504
71320561305341
oct227621461500
957522717354
1020372153152
11870460520a
123b46714594
131bc88192c0
14db38bc0c8
157e377d7d7
hex4be466340

20372153152 has 56 divisors (see below), whose sum is σ = 43583623272. Its totient is φ = 9392179200.

The previous prime is 20372153117. The next prime is 20372153173. The reversal of 20372153152 is 25135127302.

It can be written as a sum of positive squares in 4 ways, for example, as 6281513536 + 14090639616 = 79256^2 + 118704^2 .

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

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, 769902 + ... + 795922.

It is an arithmetic number, because the mean of its divisors is an integer number (778278987).

Almost surely, 220372153152 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 20372153152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21791811636).

20372153152 is an abundant number, since it is smaller than the sum of its proper divisors (23211470120).

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

20372153152 is a wasteful number, since it uses less digits than its factorization.

20372153152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26987 (or 26977 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 31.

The spelling of 20372153152 in words is "twenty billion, three hundred seventy-two million, one hundred fifty-three thousand, one hundred fifty-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 208 416 832 941 1882 3764 7528 12233 15056 24466 26021 30112 48932 52042 60224 97864 104084 195728 208168 338273 391456 416336 676546 782912 832672 1353092 1665344 2706184 5412368 10824736 21649472 24485761 48971522 97943044 195886088 318314893 391772176 636629786 783544352 1273259572 1567088704 2546519144 5093038288 10186076576 20372153152