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20869874016 = 25317101126613
BaseRepresentation
bin10011011011111100…
…010000000101100000
31222212110100110001220
4103123330100011200
5320220141432031
613330521455040
71336114000515
oct233374200540
958773313056
1020869874016
11893a555272
124065341480
131c77983ba4
14101da3d30c
158222e6596
hex4dbf10160

20869874016 has 96 divisors (see below), whose sum is σ = 58580752608. Its totient is φ = 6482534400.

The previous prime is 20869873991. The next prime is 20869874029. The reversal of 20869874016 is 61047896802.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×208698740163 (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 20869874016.

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, 101526 + ... + 228138.

It is an arithmetic number, because the mean of its divisors is an integer number (610216173).

Almost surely, 220869874016 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 20869874016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29290376304).

20869874016 is an abundant number, since it is smaller than the sum of its proper divisors (37710878592).

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

20869874016 is a wasteful number, since it uses less digits than its factorization.

20869874016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126744 (or 126736 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 51.

The spelling of 20869874016 in words is "twenty billion, eight hundred sixty-nine million, eight hundred seventy-four thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 101 102 136 202 204 272 303 404 408 544 606 808 816 1212 1616 1632 1717 2424 3232 3434 4848 5151 6868 9696 10302 13736 20604 27472 41208 54944 82416 126613 164832 253226 379839 506452 759678 1012904 1519356 2025808 2152421 3038712 4051616 4304842 6077424 6457263 8609684 12154848 12787913 12914526 17219368 25575826 25829052 34438736 38363739 51151652 51658104 68877472 76727478 102303304 103316208 153454956 204606608 206632416 217394521 306909912 409213216 434789042 613819824 652183563 869578084 1227639648 1304367126 1739156168 2608734252 3478312336 5217468504 6956624672 10434937008 20869874016