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21318099552 = 25321710194273
BaseRepresentation
bin10011110110101010…
…000110001001100000
32001000200202122220200
4103312222012021200
5322124413141202
613443212505200
71353165566511
oct236652061140
961020678820
1021318099552
11904a5697a2
12416b47b200
1320197abcb9
141063398a08
1584b833e1c
hex4f6a86260

21318099552 has 144 divisors (see below), whose sum is σ = 64267454160. Its totient is φ = 6679904256.

The previous prime is 21318099521. The next prime is 21318099577. The reversal of 21318099552 is 25599081312.

21318099552 is a `hidden beast` number, since 2 + 1 + 3 + 1 + 8 + 0 + 99 + 552 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×213180995522 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21318099498 and 21318099507.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4986888 + ... + 4991160.

It is an arithmetic number, because the mean of its divisors is an integer number (446301765).

Almost surely, 221318099552 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 21318099552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32133727080).

21318099552 is an abundant number, since it is smaller than the sum of its proper divisors (42949354608).

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

21318099552 is a wasteful number, since it uses less digits than its factorization.

21318099552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5325 (or 5314 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 45.

The spelling of 21318099552 in words is "twenty-one billion, three hundred eighteen million, ninety-nine thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 68 72 96 102 136 144 153 204 272 288 306 408 544 612 816 1019 1224 1632 2038 2448 3057 4076 4273 4896 6114 8152 8546 9171 12228 12819 16304 17092 17323 18342 24456 25638 32608 34184 34646 36684 38457 48912 51276 51969 68368 69292 72641 73368 76914 97824 102552 103938 136736 138584 145282 146736 153828 155907 205104 207876 217923 277168 290564 293472 307656 311814 410208 415752 435846 554336 581128 615312 623628 653769 831504 871692 1162256 1230624 1247256 1307538 1663008 1743384 2324512 2494512 2615076 3486768 4354187 4989024 5230152 6973536 8708374 10460304 13062561 17416748 20920608 26125122 34833496 39187683 52250244 69666992 74021179 78375366 104500488 139333984 148042358 156750732 209000976 222063537 296084716 313501464 418001952 444127074 592169432 627002928 666190611 888254148 1184338864 1254005856 1332381222 1776508296 2368677728 2664762444 3553016592 5329524888 7106033184 10659049776 21318099552