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53165373984 = 25323112746889
BaseRepresentation
bin110001100000111001…
…110011101000100000
312002020012000211102100
4301200321303220200
51332340313431414
640231314250400
73561326136222
oct614071635040
9162205024370
1053165373984
1120602516408
12a378b86a00
1350237a6a98
142804ca4412
1515b2703609
hexc60e73a20

53165373984 has 144 divisors (see below), whose sum is σ = 157298319360. Its totient is φ = 17014717440.

The previous prime is 53165373979. The next prime is 53165374013. The reversal of 53165373984 is 48937356135.

53165373984 is a `hidden beast` number, since 5 + 3 + 16 + 537 + 3 + 98 + 4 = 666.

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

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 53165373984.

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, 1110412 + ... + 1157300.

It is an arithmetic number, because the mean of its divisors is an integer number (1092349440).

Almost surely, 253165373984 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 53165373984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78649159680).

53165373984 is an abundant number, since it is smaller than the sum of its proper divisors (104132945376).

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

53165373984 is a wasteful number, since it uses less digits than its factorization.

53165373984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47063 (or 47052 counting only the distinct ones).

The product of its digits is 8164800, while the sum is 54.

The spelling of 53165373984 in words is "fifty-three billion, one hundred sixty-five million, three hundred seventy-three thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 72 93 96 124 127 144 186 248 254 279 288 372 381 496 508 558 744 762 992 1016 1116 1143 1488 1524 2032 2232 2286 2976 3048 3937 4064 4464 4572 6096 7874 8928 9144 11811 12192 15748 18288 23622 31496 35433 36576 46889 47244 62992 70866 93778 94488 125984 140667 141732 187556 188976 281334 283464 375112 377952 422001 562668 566928 750224 844002 1125336 1133856 1453559 1500448 1688004 2250672 2907118 3376008 4360677 4501344 5814236 5954903 6752016 8721354 11628472 11909806 13082031 13504032 17442708 17864709 23256944 23819612 26164062 34885416 35729418 46513888 47639224 52328124 53594127 69770832 71458836 95278448 104656248 107188254 139541664 142917672 184601993 190556896 209312496 214376508 285835344 369203986 418624992 428753016 553805979 571670688 738407972 857506032 1107611958 1476815944 1661417937 1715012064 2215223916 2953631888 3322835874 4430447832 5907263776 6645671748 8860895664 13291343496 17721791328 26582686992 53165373984