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13722542480 = 245295914889
BaseRepresentation
bin11001100011110110…
…10110000110010000
31022102100101101102002
430301323112012100
5211100432324410
610145401413132
7664025454323
oct146173260620
938370341362
1013722542480
1159020212a9
1227ab79a1a8
1313a8ca482a
149426d07ba
15554ac87a5
hex331ed6190

13722542480 has 40 divisors (see below), whose sum is σ = 33005086200. Its totient is φ = 5299739648.

The previous prime is 13722542479. The next prime is 13722542507. The reversal of 13722542480 is 8424522731.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 863889664 + 12858652816 = 29392^2 + 113396^2 .

It is a tau number, because it is divible by the number of its divisors (40).

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, 2955125 + ... + 2959764.

It is an arithmetic number, because the mean of its divisors is an integer number (825127155).

Almost surely, 213722542480 is an apocalyptic number.

13722542480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13722542480 is an abundant number, since it is smaller than the sum of its proper divisors (19282543720).

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

13722542480 is a wasteful number, since it uses less digits than its factorization.

13722542480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5914931 (or 5914925 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 38.

The spelling of 13722542480 in words is "thirteen billion, seven hundred twenty-two million, five hundred forty-two thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 116 145 232 290 464 580 1160 2320 5914889 11829778 23659556 29574445 47319112 59148890 94638224 118297780 171531781 236595560 343063562 473191120 686127124 857658905 1372254248 1715317810 2744508496 3430635620 6861271240 13722542480