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155789668804 = 22721142332
BaseRepresentation
bin1001000100010111001…
…0011011000111000100
3112220010020202011101111
42101011302123013010
510023024123400204
6155322505134404
714153420223100
oct2210562330704
9486106664344
10155789668804
1160085230000
122623978a404
13118c9bb46a3
14777c68c900
1540bc01bd04
hex2445c9b1c4

155789668804 has 135 divisors (see below), whose sum is σ = 350359073085. Its totient is φ = 60436770240.

The previous prime is 155789668753. The next prime is 155789668877. The reversal of 155789668804 is 408866987551.

The square root of 155789668804 is 394702.

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

It can be written as a sum of positive squares in only one way, i.e., 31637736900 + 124151931904 = 177870^2 + 352352^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 155789668804.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 668625072 + ... + 668625304.

Almost surely, 2155789668804 is an apocalyptic number.

155789668804 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

155789668804 is the 394702-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 155789668804

155789668804 is an abundant number, since it is smaller than the sum of its proper divisors (194569404281).

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

155789668804 is an frugal number, since it uses more digits than its factorization.

155789668804 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 528 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 116121600, while the sum is 67.

The spelling of 155789668804 in words is "one hundred fifty-five billion, seven hundred eighty-nine million, six hundred sixty-eight thousand, eight hundred four".

Divisors: 1 2 4 7 11 14 22 28 44 49 77 98 121 154 196 233 242 308 466 484 539 847 932 1078 1331 1631 1694 2156 2563 2662 3262 3388 5126 5324 5929 6524 9317 10252 11417 11858 14641 17941 18634 22834 23716 28193 29282 35882 37268 45668 54289 56386 58564 65219 71764 102487 108578 112772 125587 130438 197351 204974 217156 251174 260876 310123 380023 394702 409948 502348 597179 620246 717409 760046 789404 1194358 1240492 1381457 1434818 1520092 2170861 2388716 2660161 2762914 2869636 3411353 4180253 4341722 5320322 5525828 6568969 6822706 8360506 8683444 10640644 13137938 13645412 15196027 16721012 23879471 26275876 29261771 30392054 45982783 47758942 58523542 60784108 72258659 91965566 95517884 117047084 144517318 167156297 183931132 289034636 321879481 334312594 505810613 643758962 668625188 794845249 1011621226 1287517924 1589690498 2023242452 3179380996 3540674291 5563916743 7081348582 11127833486 14162697164 22255666972 38947417201 77894834402 155789668804