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14062531968 = 273283147073
BaseRepresentation
bin11010001100011000…
…10011010110000000
31100022001010122022100
431012030103112000
5212300002010333
610243224510400
71005324356322
oct150614232600
940261118270
1014062531968
115a66a29451
12288561b400
131431564444
14975913612
15574886213
hex346313580

14062531968 has 96 divisors (see below), whose sum is σ = 40954226040. Its totient is φ = 4631003136.

The previous prime is 14062531943. The next prime is 14062531991. The reversal of 14062531968 is 86913526041.

14062531968 is a `hidden beast` number, since 1 + 4 + 0 + 625 + 3 + 19 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

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, 22080 + ... + 169152.

Almost surely, 214062531968 is an apocalyptic number.

14062531968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14062531968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20477113020).

14062531968 is an abundant number, since it is smaller than the sum of its proper divisors (26891694072).

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

14062531968 is a wasteful number, since it uses less digits than its factorization.

14062531968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147176 (or 147161 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 14062531968 in words is "fourteen billion, sixty-two million, five hundred thirty-one thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 83 96 128 144 166 192 249 288 332 384 498 576 664 747 996 1152 1328 1494 1992 2656 2988 3984 5312 5976 7968 10624 11952 15936 23904 31872 47808 95616 147073 294146 441219 588292 882438 1176584 1323657 1764876 2353168 2647314 3529752 4706336 5294628 7059504 9412672 10589256 12207059 14119008 18825344 21178512 24414118 28238016 36621177 42357024 48828236 56476032 73242354 84714048 97656472 109863531 146484708 169428096 195312944 219727062 292969416 390625888 439454124 585938832 781251776 878908248 1171877664 1562503552 1757816496 2343755328 3515632992 4687510656 7031265984 14062531968