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20851728552 = 23325917832753
BaseRepresentation
bin10011011010110111…
…000010000010101000
31222211012012120011200
4103122313002002220
5320201020303202
613325032524200
71335503524344
oct233267020250
958735176150
1020851728552
118930291316
12405b250660
131c73c9c925
14101b478624
1582090ee1c
hex4dadc20a8

20851728552 has 96 divisors (see below), whose sum is σ = 57483691200. Its totient is φ = 6826457088.

The previous prime is 20851728551. The next prime is 20851728571. The reversal of 20851728552 is 25582715802.

20851728552 is a `hidden beast` number, since 2 + 0 + 8 + 517 + 2 + 85 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 20851728498 and 20851728507.

It is not an unprimeable number, because it can be changed into a prime (20851728551) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7572808 + ... + 7575560.

It is an arithmetic number, because the mean of its divisors is an integer number (598788450).

Almost surely, 220851728552 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 20851728552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28741845600).

20851728552 is an abundant number, since it is smaller than the sum of its proper divisors (36631962648).

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

20851728552 is a wasteful number, since it uses less digits than its factorization.

20851728552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4607 (or 4600 counting only the distinct ones).

The product of its (nonzero) digits is 448000, while the sum is 45.

The spelling of 20851728552 in words is "twenty billion, eight hundred fifty-one million, seven hundred twenty-eight thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 59 72 118 177 236 354 472 531 708 1062 1416 1783 2124 2753 3566 4248 5349 5506 7132 8259 10698 11012 14264 16047 16518 21396 22024 24777 32094 33036 42792 49554 64188 66072 99108 105197 128376 162427 198216 210394 315591 324854 420788 487281 631182 649708 841576 946773 974562 1262364 1299416 1461843 1893546 1949124 2524728 2923686 3787092 3898248 4908599 5847372 7574184 9817198 11694744 14725797 19634396 29451594 39268792 44177391 58903188 88354782 117806376 176709564 289607341 353419128 579214682 868822023 1158429364 1737644046 2316858728 2606466069 3475288092 5212932138 6950576184 10425864276 20851728552