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20642416548 = 22313794014177
BaseRepresentation
bin10011001110011000…
…100100011110100100
31222021121100102002020
4103032120210132210
5314233424312143
613252154343140
71330352434305
oct231630443644
958247312066
1020642416548
118833119096
12400112aab0
131c3c804c80
14ddb7507ac
1580c366883
hex4ce6247a4

20642416548 has 96 divisors (see below), whose sum is σ = 52670876160. Its totient is φ = 6253977600.

The previous prime is 20642416537. The next prime is 20642416607. The reversal of 20642416548 is 84561424602.

It is a super-5 number, since 5×206424165485 (a number of 53 digits) contains 55555 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4939836 + ... + 4944012.

It is an arithmetic number, because the mean of its divisors is an integer number (548654960).

Almost surely, 220642416548 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 20642416548, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26335438080).

20642416548 is an abundant number, since it is smaller than the sum of its proper divisors (32028459612).

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

20642416548 is a wasteful number, since it uses less digits than its factorization.

20642416548 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4677 (or 4675 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 42.

The spelling of 20642416548 in words is "twenty billion, six hundred forty-two million, four hundred sixteen thousand, five hundred forty-eight".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 79 156 158 237 316 401 474 802 948 1027 1203 1604 2054 2406 3081 4108 4177 4812 5213 6162 8354 10426 12324 12531 15639 16708 20852 25062 31278 31679 50124 54301 62556 63358 95037 108602 126716 162903 190074 217204 325806 329983 380148 411827 651612 659966 823654 989949 1235481 1319932 1647308 1674977 1979898 2470962 3349954 3959796 4289779 4941924 5024931 6699908 8579558 10049862 12869337 17159116 20099724 21774701 25738674 43549402 51477348 65324103 87098804 130648206 132323183 261296412 264646366 396969549 529292732 793939098 1587878196 1720201379 3440402758 5160604137 6880805516 10321208274 20642416548