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13906431520 = 255853710181
BaseRepresentation
bin11001111001110001…
…10100111000100000
31022220011101220202021
430330320310320200
5211440021302040
610215531031224
71001420501062
oct147470647040
938804356667
1013906431520
1159968aa913
12284129b514
13140810a907
1495ccbb732
15565cee24a
hex33ce34e20

13906431520 has 48 divisors (see below), whose sum is σ = 32861020248. Its totient is φ = 5561374720.

The previous prime is 13906431503. The next prime is 13906431527. The reversal of 13906431520 is 2513460931.

It can be written as a sum of positive squares in 4 ways, for example, as 13379086224 + 527345296 = 115668^2 + 22964^2 .

It is not an unprimeable number, because it can be changed into a prime (13906431527) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1360830 + ... + 1371010.

Almost surely, 213906431520 is an apocalyptic number.

13906431520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13906431520 is an abundant number, since it is smaller than the sum of its proper divisors (18954588728).

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

13906431520 is a wasteful number, since it uses less digits than its factorization.

13906431520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18733 (or 18725 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 34.

The spelling of 13906431520 in words is "thirteen billion, nine hundred six million, four hundred thirty-one thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 8537 10181 17074 20362 34148 40724 42685 50905 68296 81448 85370 101810 136592 162896 170740 203620 273184 325792 341480 407240 682960 814480 1365920 1628960 86915197 173830394 347660788 434575985 695321576 869151970 1390643152 1738303940 2781286304 3476607880 6953215760 13906431520