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13280748192 = 2532311487539
BaseRepresentation
bin11000101111001100…
…00010001010100000
31021021120001220120200
430113212002022200
5204144332420232
610033500305200
7650052332325
oct142746021240
937246056520
1013280748192
1156a56aa758
1226a7842200
1313385bbaaa
148ddb6ab4c
1552ae0b77c
hex3179822a0

13280748192 has 72 divisors (see below), whose sum is σ = 38985448320. Its totient is φ = 4284109440.

The previous prime is 13280748181. The next prime is 13280748227. The reversal of 13280748192 is 29184708231.

It is a happy number.

13280748192 is a `hidden beast` number, since 1 + 3 + 2 + 80 + 7 + 481 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×132807481922 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 734842 + ... + 752697.

It is an arithmetic number, because the mean of its divisors is an integer number (541464560).

Almost surely, 213280748192 is an apocalyptic number.

13280748192 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13280748192 is an abundant number, since it is smaller than the sum of its proper divisors (25704700128).

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

13280748192 is a wasteful number, since it uses less digits than its factorization.

13280748192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1487586 (or 1487575 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 13280748192 in words is "thirteen billion, two hundred eighty million, seven hundred forty-eight thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 72 93 96 124 144 186 248 279 288 372 496 558 744 992 1116 1488 2232 2976 4464 8928 1487539 2975078 4462617 5950156 8925234 11900312 13387851 17850468 23800624 26775702 35700936 46113709 47601248 53551404 71401872 92227418 107102808 138341127 142803744 184454836 214205616 276682254 368909672 415023381 428411232 553364508 737819344 830046762 1106729016 1475638688 1660093524 2213458032 3320187048 4426916064 6640374096 13280748192