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20814482592 = 2532232136621
BaseRepresentation
bin10011011000101000…
…111100110010100000
31222201121010021022200
4103120220330302200
5320112001420332
613321222333200
71334542116501
oct233050746240
958647107280
1020814482592
118911261932
12404a88a200
131c6935b7b7
141016540ba8
1581c50417c
hex4d8a3cca0

20814482592 has 108 divisors (see below), whose sum is σ = 61877060154. Its totient is φ = 6636453120.

The previous prime is 20814482561. The next prime is 20814482609. The reversal of 20814482592 is 29528441802.

20814482592 is a `hidden beast` number, since 2 + 0 + 8 + 14 + 48 + 2 + 592 = 666.

It can be written as a sum of positive squares in only one way, i.e., 19735754256 + 1078728336 = 140484^2 + 32844^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 84042 + ... + 220662.

Almost surely, 220814482592 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 20814482592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30938530077).

20814482592 is an abundant number, since it is smaller than the sum of its proper divisors (41062577562).

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

20814482592 is a wasteful number, since it uses less digits than its factorization.

20814482592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136683 (or 136649 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 20814482592 in words is "twenty billion, eight hundred fourteen million, four hundred eighty-two thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 69 72 92 96 138 144 184 207 276 288 368 414 529 552 736 828 1058 1104 1587 1656 2116 2208 3174 3312 4232 4761 6348 6624 8464 9522 12696 16928 19044 25392 38088 50784 76176 136621 152352 273242 409863 546484 819726 1092968 1229589 1639452 2185936 2459178 3142283 3278904 4371872 4918356 6284566 6557808 9426849 9836712 12569132 13115616 18853698 19673424 25138264 28280547 37707396 39346848 50276528 56561094 72272509 75414792 100553056 113122188 144545018 150829584 216817527 226244376 289090036 301659168 433635054 452488752 578180072 650452581 867270108 904977504 1156360144 1300905162 1734540216 2312720288 2601810324 3469080432 5203620648 6938160864 10407241296 20814482592