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152262160880 = 2455365954493
BaseRepresentation
bin1000110111001110001…
…0000011000111110000
3112120000102010012012212
42031303202003013300
54443313103122010
6153540454311252
714000125004324
oct2156342030760
9476012105185
10152262160880
11596350250a5
1225614358528
13114871364ab
147525dad984
153e624c9505
hex23738831f0

152262160880 has 80 divisors (see below), whose sum is σ = 361242905760. Its totient is φ = 59663944704.

The previous prime is 152262160829. The next prime is 152262160949. The reversal of 152262160880 is 88061262251.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2766914 + ... + 2821406.

It is an arithmetic number, because the mean of its divisors is an integer number (4515536322).

Almost surely, 2152262160880 is an apocalyptic number.

152262160880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 152262160880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180621452880).

152262160880 is an abundant number, since it is smaller than the sum of its proper divisors (208980744880).

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

152262160880 is a wasteful number, since it uses less digits than its factorization.

152262160880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55218 (or 55212 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 41.

The spelling of 152262160880 in words is "one hundred fifty-two billion, two hundred sixty-two million, one hundred sixty thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 53 80 106 212 265 424 530 659 848 1060 1318 2120 2636 3295 4240 5272 6590 10544 13180 26360 34927 52720 54493 69854 108986 139708 174635 217972 272465 279416 349270 435944 544930 558832 698540 871888 1089860 1397080 2179720 2794160 2888129 4359440 5776258 11552516 14440645 23105032 28881290 35910887 46210064 57762580 71821774 115525160 143643548 179554435 231050320 287287096 359108870 574574192 718217740 1436435480 1903277011 2872870960 3806554022 7613108044 9516385055 15226216088 19032770110 30452432176 38065540220 76131080440 152262160880