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23316598404 = 2232111723150589
BaseRepresentation
bin10101101101110001…
…110000111010000100
32020011222021220221200
4111231301300322010
5340223022122104
614413403342500
71453543550001
oct255561607204
966158256850
1023316598404
119985680540
124628821a30
13227784bcb8
1411b29828a8
15916eebb39
hex56dc70e84

23316598404 has 144 divisors (see below), whose sum is σ = 71039928960. Its totient is φ = 6360837120.

The previous prime is 23316598373. The next prime is 23316598453. The reversal of 23316598404 is 40489561332.

23316598404 is a `hidden beast` number, since 2 + 3 + 3 + 16 + 598 + 40 + 4 = 666.

It is a super-2 number, since 2×233165984042 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 23316598404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 79542 + ... + 230130.

It is an arithmetic number, because the mean of its divisors is an integer number (493332840).

Almost surely, 223316598404 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 23316598404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35519964480).

23316598404 is an abundant number, since it is smaller than the sum of its proper divisors (47723330556).

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

23316598404 is a wasteful number, since it uses less digits than its factorization.

23316598404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150650 (or 150645 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 23316598404 in words is "twenty-three billion, three hundred sixteen million, five hundred ninety-eight thousand, four hundred four".

Divisors: 1 2 3 4 6 9 11 12 17 18 22 23 33 34 36 44 46 51 66 68 69 92 99 102 132 138 153 187 198 204 207 253 276 306 374 391 396 414 506 561 612 748 759 782 828 1012 1122 1173 1518 1564 1683 2244 2277 2346 3036 3366 3519 4301 4554 4692 6732 7038 8602 9108 12903 14076 17204 25806 38709 51612 77418 150589 154836 301178 451767 602356 903534 1355301 1656479 1807068 2560013 2710602 3312958 3463547 4969437 5120026 5421204 6625916 6927094 7680039 9938874 10240052 10390641 13854188 14908311 15360078 19877748 20781282 23040117 28160143 29816622 30720156 31171923 38099017 41562564 46080234 56320286 58880299 59633244 62343846 76198034 84480429 92160468 112640572 114297051 117760598 124687692 152396068 168960858 176640897 228594102 235521196 253441287 337921716 342891153 353281794 457188204 506882574 529922691 647683289 685782306 706563588 1013765148 1059845382 1295366578 1371564612 1943049867 2119690764 2590733156 3886099734 5829149601 7772199468 11658299202 23316598404