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13357548192 = 2533731711863
BaseRepresentation
bin11000111000010110…
…00000001010100000
31021110220120202101010
430130023000022200
5204324013020232
610045242340520
7652004200122
oct143413001240
937426522333
1013357548192
115734a9572a
1227094ba740
13134b49b791
1490a03d212
15532a2c0cc
hex31c2c02a0

13357548192 has 96 divisors (see below), whose sum is σ = 36127873152. Its totient is φ = 4318147584.

The previous prime is 13357548157. The next prime is 13357548209. The reversal of 13357548192 is 29184575331.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1120053 + ... + 1131915.

It is an arithmetic number, because the mean of its divisors is an integer number (376332012).

Almost surely, 213357548192 is an apocalyptic number.

13357548192 is a gapful number since it is divisible by the number (12) 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 13357548192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18063936576).

13357548192 is an abundant number, since it is smaller than the sum of its proper divisors (22770324960).

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

13357548192 is a wasteful number, since it uses less digits than its factorization.

13357548192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12230 (or 12222 counting only the distinct ones).

The product of its digits is 907200, while the sum is 48.

The spelling of 13357548192 in words is "thirteen billion, three hundred fifty-seven million, five hundred forty-eight thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 74 96 111 148 222 296 317 444 592 634 888 951 1184 1268 1776 1902 2536 3552 3804 5072 7608 10144 11729 11863 15216 23458 23726 30432 35187 35589 46916 47452 70374 71178 93832 94904 140748 142356 187664 189808 281496 284712 375328 379616 438931 562992 569424 877862 1125984 1138848 1316793 1755724 2633586 3511448 3760571 5267172 7022896 7521142 10534344 11281713 14045792 15042284 21068688 22563426 30084568 42137376 45126852 60169136 90253704 120338272 139141127 180507408 278282254 361014816 417423381 556564508 834846762 1113129016 1669693524 2226258032 3339387048 4452516064 6678774096 13357548192