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13760268432 = 2431791601521
BaseRepresentation
bin11001101000010110…
…10000100010010000
31022111222101001200120
430310023100202100
5211140112042212
610153230150240
7664664231451
oct146413204220
938458331616
1013760268432
115921349379
122800352380
1313b3a53291
14947711128
1555807b88c
hex3342d0890

13760268432 has 40 divisors (see below), whose sum is σ = 35745971040. Its totient is φ = 4561128960.

The previous prime is 13760268421. The next prime is 13760268491. The reversal of 13760268432 is 23486206731.

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, 792169 + ... + 809352.

It is an arithmetic number, because the mean of its divisors is an integer number (893649276).

Almost surely, 213760268432 is an apocalyptic number.

13760268432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13760268432 is an abundant number, since it is smaller than the sum of its proper divisors (21985702608).

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

13760268432 is a wasteful number, since it uses less digits than its factorization.

13760268432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1601711 (or 1601705 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 42.

The spelling of 13760268432 in words is "thirteen billion, seven hundred sixty million, two hundred sixty-eight thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 179 358 537 716 1074 1432 2148 2864 4296 8592 1601521 3203042 4804563 6406084 9609126 12812168 19218252 25624336 38436504 76873008 286672259 573344518 860016777 1146689036 1720033554 2293378072 3440067108 4586756144 6880134216 13760268432