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162393020195904 = 2636589972
BaseRepresentation
bin100100111011001000010010…
…010010000110010001000000
3210021222121202210101111000000
4210323020102102012101000
5132241121401132232104
61333214153521000000
746130336266264011
oct4473102222062100
9707877683344000
10162393020195904
114781a547361323
1216268a31a83000
136c7c799812524
142c15c151bb008
1513b93360bd639
hex93b212486440

162393020195904 has 147 divisors (see below), whose sum is σ = 483160142726677. Its totient is φ = 54130089210624.

The previous prime is 162393020195893. The next prime is 162393020195927. The reversal of 162393020195904 is 409591020393261.

The square root of 162393020195904 is 12743352.

It is a perfect power (a square), and thus also a powerful number.

162393020195904 is a `hidden beast` number, since 1 + 6 + 2 + 3 + 9 + 30 + 2 + 0 + 19 + 590 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 86889989390400 + 75503030805504 = 9321480^2 + 8689248^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 2752534534 + ... + 2752593530.

Almost surely, 2162393020195904 is an apocalyptic number.

162393020195904 is the 12743352-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 162393020195904

162393020195904 is an abundant number, since it is smaller than the sum of its proper divisors (320767122530773).

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

162393020195904 is an frugal number, since it uses more digits than its factorization.

162393020195904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118024 (or 59002 counting only the distinct ones).

The product of its (nonzero) digits is 3149280, while the sum is 54.

The spelling of 162393020195904 in words is "one hundred sixty-two trillion, three hundred ninety-three billion, twenty million, one hundred ninety-five thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 243 288 324 432 486 576 648 729 864 972 1296 1458 1728 1944 2592 2916 3888 5184 5832 7776 11664 15552 23328 46656 58997 117994 176991 235988 353982 471976 530973 707964 943952 1061946 1415928 1592919 1887904 2123892 2831856 3185838 3775808 4247784 4778757 5663712 6371676 8495568 9557514 11327424 12743352 14336271 16991136 19115028 25486704 28672542 33982272 38230056 43008813 50973408 57345084 76460112 86017626 101946816 114690168 152920224 172035252 229380336 305840448 344070504 458760672 688141008 917521344 1376282016 2752564032 3480646009 6961292018 10441938027 13922584036 20883876054 27845168072 31325814081 41767752108 55690336144 62651628162 83535504216 93977442243 111380672288 125303256324 167071008432 187954884486 222761344576 250606512648 281932326729 334142016864 375909768972 501213025296 563864653458 668284033728 751819537944 845796980187 1002426050592 1127729306916 1503639075888 1691593960374 2004852101184 2255458613832 2537390940561 3007278151776 3383187920748 4510917227664 5074781881122 6014556303552 6766375841496 9021834455328 10149563762244 13532751682992 18043668910656 20299127524488 27065503365984 40598255048976 54131006731968 81196510097952 162393020195904