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993579919164 = 2232719434825921
BaseRepresentation
bin11100111010101011111…
…10100110011100111100
310111222121021220112020100
432131111332212130330
5112234322424403124
62040235545521100
7131532556652130
oct16352576463474
93458537815210
10993579919164
11353413a64168
1214068baa3190
137290417a341
14361379273c0
151aca2d001c9
hexe755fa673c

993579919164 has 144 divisors (see below), whose sum is σ = 3091678670080. Its totient is φ = 262684477440.

The previous prime is 993579919151. The next prime is 993579919177. The reversal of 993579919164 is 461919975399.

It is an interprime number because it is at equal distance from previous prime (993579919151) and next prime (993579919177).

It is a junction number, because it is equal to n+sod(n) for n = 993579919092 and 993579919101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2207077 + ... + 2618844.

Almost surely, 2993579919164 is an apocalyptic number.

It is an amenable number.

993579919164 is an abundant number, since it is smaller than the sum of its proper divisors (2098098750916).

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

993579919164 is a wasteful number, since it uses less digits than its factorization.

993579919164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4826000 (or 4825995 counting only the distinct ones).

The product of its digits is 148803480, while the sum is 72.

The spelling of 993579919164 in words is "nine hundred ninety-three billion, five hundred seventy-nine million, nine hundred nineteen thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 28 36 38 42 43 57 63 76 84 86 114 126 129 133 171 172 228 252 258 266 301 342 387 399 516 532 602 684 774 798 817 903 1197 1204 1548 1596 1634 1806 2394 2451 2709 3268 3612 4788 4902 5418 5719 7353 9804 10836 11438 14706 17157 22876 29412 34314 51471 68628 102942 205884 4825921 9651842 14477763 19303684 28955526 33781447 43433289 57911052 67562894 86866578 91692499 101344341 135125788 173733156 183384998 202688682 207514603 275077497 304033023 366769996 405377364 415029206 550154994 608066046 622543809 641847493 825232491 830058412 1100309988 1216132092 1245087618 1283694986 1452602221 1650464982 1867631427 1925542479 2490175236 2567389972 2905204442 3300929964 3735262854 3851084958 3942777457 4357806663 5776627437 5810408884 7470525708 7702169916 7885554914 8715613326 11553254874 11828332371 13073419989 15771109828 17431226652 23106509748 23656664742 26146839978 27599442199 35484997113 47313329484 52293679956 55198884398 70969994226 82798326597 110397768796 141939988452 165596653194 248394979791 331193306388 496789959582 993579919164