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14879901696 = 211311220169
BaseRepresentation
bin11011101101110100…
…10100100000000000
31102102000011022210020
431312322110200000
5220433223323241
610500303533440
71034511035412
oct156672244000
942360138706
1014879901696
116346353420
122a732ba280
1315319b947a
14a122c09b2
155c14deb66
hex376e94800

14879901696 has 96 divisors (see below), whose sum is σ = 43276615200. Its totient is φ = 4509040640.

The previous prime is 14879901683. The next prime is 14879901697. The reversal of 14879901696 is 69610997841.

It is a happy number.

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

It is a super-2 number, since 2×148799016962 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (14879901697) 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, 42501 + ... + 177668.

It is an arithmetic number, because the mean of its divisors is an integer number (450798075).

Almost surely, 214879901696 is an apocalyptic number.

14879901696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

14879901696 is an abundant number, since it is smaller than the sum of its proper divisors (28396713504).

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

14879901696 is a wasteful number, since it uses less digits than its factorization.

14879901696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220205 (or 220185 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 60.

The spelling of 14879901696 in words is "fourteen billion, eight hundred seventy-nine million, nine hundred one thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 512 528 704 768 1024 1056 1408 1536 2048 2112 2816 3072 4224 5632 6144 8448 11264 16896 22528 33792 67584 220169 440338 660507 880676 1321014 1761352 2421859 2642028 3522704 4843718 5284056 7045408 7265577 9687436 10568112 14090816 14531154 19374872 21136224 28181632 29062308 38749744 42272448 56363264 58124616 77499488 84544896 112726528 116249232 154998976 169089792 225453056 232498464 309997952 338179584 450906112 464996928 619995904 676359168 929993856 1239991808 1352718336 1859987712 2479983616 3719975424 4959967232 7439950848 14879901696