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14897952768 = 21136736191
BaseRepresentation
bin11011101111111110…
…01011100000000000
31102110021010102012110
431313333023200000
5221002333442033
610502150455320
71035120336426
oct156777134000
942407112173
1014897952768
116355562466
122a79364540
13153566978a
14a1485d116
155c2da8363
hex377fcb800

14897952768 has 96 divisors (see below), whose sum is σ = 40312097280. Its totient is φ = 4891729920.

The previous prime is 14897952757. The next prime is 14897952779. The reversal of 14897952768 is 86725979841.

It is an interprime number because it is at equal distance from previous prime (14897952757) and next prime (14897952779).

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

It is a junction number, because it is equal to n+sod(n) for n = 14897952699 and 14897952708.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 393553 + ... + 429743.

It is an arithmetic number, because the mean of its divisors is an integer number (419917680).

Almost surely, 214897952768 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 14897952768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20156048640).

14897952768 is an abundant number, since it is smaller than the sum of its proper divisors (25414144512).

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

14897952768 is an equidigital number, since it uses as much as digits as its factorization.

14897952768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36283 (or 36263 counting only the distinct ones).

The product of its digits is 60963840, while the sum is 66.

The spelling of 14897952768 in words is "fourteen billion, eight hundred ninety-seven million, nine hundred fifty-two thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 67 96 128 134 192 201 256 268 384 402 512 536 768 804 1024 1072 1536 1608 2048 2144 3072 3216 4288 6144 6432 8576 12864 17152 25728 34304 36191 51456 68608 72382 102912 108573 137216 144764 205824 217146 289528 411648 434292 579056 868584 1158112 1737168 2316224 2424797 3474336 4632448 4849594 6948672 7274391 9264896 9699188 13897344 14548782 18529792 19398376 27794688 29097564 37059584 38796752 55589376 58195128 74119168 77593504 111178752 116390256 155187008 222357504 232780512 310374016 465561024 620748032 931122048 1241496064 1862244096 2482992128 3724488192 4965984256 7448976384 14897952768