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872482581346240 = 26510725481383801
BaseRepresentation
bin1100011001100001001010111…
…0010101010111011111000000
311020102012112001012221021101101
43012120102232111113133000
51403324223311311034430
612331340544203344144
7351526533466531354
oct30630225625273700
94212175035837341
10872482581346240
11232aaa86a661277
1281a30b77222054
132b5aa9a651b1c7
141156454cc8d464
156ad041a540dca
hex31984ae5577c0

872482581346240 has 56 divisors (see below), whose sum is σ = 2097015961369392. Its totient is φ = 345731415398400.

The previous prime is 872482581346157. The next prime is 872482581346283. The reversal of 872482581346240 is 42643185284278.

It is a super-2 number, since 2×8724825813462402 (a number of 31 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12740657661 + ... + 12740726140.

It is an arithmetic number, because the mean of its divisors is an integer number (37446713595882).

Almost surely, 2872482581346240 is an apocalyptic number.

872482581346240 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

872482581346240 is an abundant number, since it is smaller than the sum of its proper divisors (1224533380023152).

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

872482581346240 is a wasteful number, since it uses less digits than its factorization.

872482581346240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25481383925 (or 25481383915 counting only the distinct ones).

The product of its (nonzero) digits is 165150720, while the sum is 64.

The spelling of 872482581346240 in words is "eight hundred seventy-two trillion, four hundred eighty-two billion, five hundred eighty-one million, three hundred forty-six thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 107 160 214 320 428 535 856 1070 1712 2140 3424 4280 6848 8560 17120 34240 25481383801 50962767602 101925535204 127406919005 203851070408 254813838010 407702140816 509627676020 815404281632 1019255352040 1630808563264 2038510704080 2726508066707 4077021408160 5453016133414 8154042816320 10906032266828 13632540333535 21812064533656 27265080667070 43624129067312 54530161334140 87248258134624 109060322668280 174496516269248 218120645336560 436241290673120 872482581346240