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55413939168 = 25327149184477
BaseRepresentation
bin110011100110111011…
…011001101111100000
312022000220002202222100
4303212323121233200
51401441432023133
641242401010400
74001131465650
oct634673315740
9168026082870
1055413939168
11215567a6745
12a8a6023a00
1352c15b0723
142979784360
151694d14e13
hexce6ed9be0

55413939168 has 144 divisors (see below), whose sum is σ = 181304978400. Its totient is φ = 15726210048.

The previous prime is 55413939157. The next prime is 55413939179. The reversal of 55413939168 is 86193931455.

55413939168 is a `hidden beast` number, since 5 + 541 + 3 + 9 + 3 + 91 + 6 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (55413939157) and next prime (55413939179).

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

It is a super-2 number, since 2×554139391682 (a number of 22 digits) contains 22 as substring.

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, 208146 + ... + 392622.

It is an arithmetic number, because the mean of its divisors is an integer number (1259062350).

Almost surely, 255413939168 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 55413939168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90652489200).

55413939168 is an abundant number, since it is smaller than the sum of its proper divisors (125891039232).

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

55413939168 is a wasteful number, since it uses less digits than its factorization.

55413939168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184649 (or 184638 counting only the distinct ones).

The product of its digits is 3499200, while the sum is 54.

The spelling of 55413939168 in words is "fifty-five billion, four hundred thirteen million, nine hundred thirty-nine thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 149 168 224 252 288 298 336 447 504 596 672 894 1008 1043 1192 1341 1788 2016 2086 2384 2682 3129 3576 4172 4768 5364 6258 7152 8344 9387 10728 12516 14304 16688 18774 21456 25032 33376 37548 42912 50064 75096 100128 150192 184477 300384 368954 553431 737908 1106862 1291339 1475816 1660293 2213724 2582678 2951632 3320586 3874017 4427448 5165356 5903264 6641172 7748034 8854896 10330712 11622051 13282344 15496068 17709792 20661424 23244102 26564688 27487073 30992136 41322848 46488204 53129376 54974146 61984272 82461219 92976408 109948292 123968544 164922438 185952816 192409511 219896584 247383657 329844876 371905632 384819022 439793168 494767314 577228533 659689752 769638044 879586336 989534628 1154457066 1319379504 1539276088 1731685599 1979069256 2308914132 2638759008 3078552176 3463371198 3958138512 4617828264 6157104352 6926742396 7916277024 9235656528 13853484792 18471313056 27706969584 55413939168