Search a number
-
+
55629598752 = 25327132122619
BaseRepresentation
bin110011110011110010…
…000101000000100000
312022120220220102022100
4303303302011000200
51402412134130002
641320023210400
74006360534050
oct636362050040
9168526812270
1055629598752
1121657504a02
12a9462a6a00
13532718b650
14299a281560
1516a8c1411c
hexcf3c85020

55629598752 has 144 divisors (see below), whose sum is σ = 194703687360. Its totient is φ = 14671535616.

The previous prime is 55629598751. The next prime is 55629598769. The reversal of 55629598752 is 25789592655.

55629598752 is a `hidden beast` number, since 556 + 2 + 9 + 5 + 9 + 8 + 75 + 2 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 55629598752.

It is not an unprimeable number, because it can be changed into a prime (55629598751) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1035102 + ... + 1087517.

It is an arithmetic number, because the mean of its divisors is an integer number (1352108940).

Almost surely, 255629598752 is an apocalyptic number.

55629598752 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

55629598752 is an abundant number, since it is smaller than the sum of its proper divisors (139074088608).

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

55629598752 is a wasteful number, since it uses less digits than its factorization.

55629598752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2122655 (or 2122644 counting only the distinct ones).

The product of its digits is 68040000, while the sum is 63.

The spelling of 55629598752 in words is "fifty-five billion, six hundred twenty-nine million, five hundred ninety-eight thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 28 32 36 39 42 48 52 56 63 72 78 84 91 96 104 112 117 126 144 156 168 182 208 224 234 252 273 288 312 336 364 416 468 504 546 624 672 728 819 936 1008 1092 1248 1456 1638 1872 2016 2184 2912 3276 3744 4368 6552 8736 13104 26208 2122619 4245238 6367857 8490476 12735714 14858333 16980952 19103571 25471428 27594047 29716666 33961904 38207142 44574999 50942856 55188094 59433332 67923808 76414284 82782141 89149998 101885712 110376188 118866664 133724997 152828568 165564282 178299996 193158329 203771424 220752376 237733328 248346423 267449994 305657136 331128564 356599992 386316658 441504752 475466656 496692846 534899988 579474987 611314272 662257128 713199984 772633316 883009504 993385692 1069799976 1158949974 1324514256 1426399968 1545266632 1738424961 1986771384 2139599952 2317899948 2649028512 3090533264 3476849922 3973542768 4279199904 4635799896 6181066528 6953699844 7947085536 9271599792 13907399688 18543199584 27814799376 55629598752