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13906046968 = 23112128311197
BaseRepresentation
bin11001111001101110…
…10110111111111000
31022220010200101020121
430330313112333320
5211434422000333
610215514503024
71001414306662
oct147467267770
938803611217
1013906046968
115996667a00
122841134a74
131408004878
1495cc1b532
15565c7532d
hex33cdd6ff8

13906046968 has 48 divisors (see below), whose sum is σ = 28684572840. Its totient is φ = 6315439680.

The previous prime is 13906046899. The next prime is 13906046977. The reversal of 13906046968 is 86964060931.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1236346 + ... + 1247542.

Almost surely, 213906046968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13906046968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14342286420).

13906046968 is an abundant number, since it is smaller than the sum of its proper divisors (14778525872).

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

13906046968 is a wasteful number, since it uses less digits than its factorization.

13906046968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12508 (or 12493 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 52.

The spelling of 13906046968 in words is "thirteen billion, nine hundred six million, forty-six thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 11 22 44 88 121 242 484 968 1283 2566 5132 10264 11197 14113 22394 28226 44788 56452 89576 112904 123167 155243 246334 310486 492668 620972 985336 1241944 1354837 2709674 5419348 10838696 14365751 28731502 57463004 114926008 158023261 316046522 632093044 1264186088 1738255871 3476511742 6953023484 13906046968