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13953853568 = 275321972
BaseRepresentation
bin11001111111011011…
…01110100010000000
31100000110122012120102
430333231232202000
5212034141303233
610224343301532
71002534540554
oct147755564200
940013565512
1013953853568
115a1064a796
12285514a8a8
131414ba27b5
14965303864
1556a06a1e8
hex33fb6e880

13953853568 has 72 divisors (see below), whose sum is σ = 28477645455. Its totient is φ = 6810539008.

The previous prime is 13953853559. The next prime is 13953853577. The reversal of 13953853568 is 86535835931.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (13953853559) and next prime (13953853577).

It can be written as a sum of positive squares in 5 ways, for example, as 13850465344 + 103388224 = 117688^2 + 10168^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=83528.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 70831646 + ... + 70831842.

Almost surely, 213953853568 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 13953853568

13953853568 is an abundant number, since it is smaller than the sum of its proper divisors (14523791887).

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

13953853568 is an frugal number, since it uses more digits than its factorization.

13953853568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 514 (or 252 counting only the distinct ones).

The product of its digits is 11664000, while the sum is 56.

The spelling of 13953853568 in words is "thirteen billion, nine hundred fifty-three million, eight hundred fifty-three thousand, five hundred sixty-eight".

Divisors: 1 2 4 8 16 32 53 64 106 128 197 212 394 424 788 848 1576 1696 2809 3152 3392 5618 6304 6784 10441 11236 12608 20882 22472 25216 38809 41764 44944 77618 83528 89888 155236 167056 179776 310472 334112 359552 553373 620944 668224 1106746 1241888 1336448 2056877 2213492 2483776 4113754 4426984 4967552 8227508 8853968 16455016 17707936 32910032 35415872 65820064 70831744 109014481 131640128 218028962 263280256 436057924 872115848 1744231696 3488463392 6976926784 13953853568