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13795911936 = 283224472
BaseRepresentation
bin11001101100100110…
…01110100100000000
31022121110102221101100
430312103032210000
5211223223140221
610200542134400
7665606213412
oct146623164400
938543387340
1013795911936
11593a483914
122810281400
1313bb252c01
1494c34c9b2
1555b26c926
hex3364ce900

13795911936 has 81 divisors (see below), whose sum is σ = 39793277251. Its totient is φ = 4596758016.

The previous prime is 13795911931. The next prime is 13795911967. The reversal of 13795911936 is 63911959731.

The square root of 13795911936 is 117456.

It is a perfect power (a square), and thus also a powerful number.

13795911936 is a `hidden beast` number, since 1 + 3 + 7 + 9 + 591 + 19 + 36 = 666.

It is a super-2 number, since 2×137959119362 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13795911931) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5636665 + ... + 5639111.

Almost surely, 213795911936 is an apocalyptic number.

13795911936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

13795911936 is the 117456-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13795911936

13795911936 is an abundant number, since it is smaller than the sum of its proper divisors (25997365315).

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

13795911936 is an frugal number, since it uses more digits than its factorization.

13795911936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4916 (or 2452 counting only the distinct ones).

The product of its digits is 1377810, while the sum is 54.

The spelling of 13795911936 in words is "thirteen billion, seven hundred ninety-five million, nine hundred eleven thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 2447 4894 7341 9788 14682 19576 22023 29364 39152 44046 58728 78304 88092 117456 156608 176184 234912 313216 352368 469824 626432 704736 939648 1409472 1879296 2818944 5637888 5987809 11975618 17963427 23951236 35926854 47902472 53890281 71853708 95804944 107780562 143707416 191609888 215561124 287414832 383219776 431122248 574829664 766439552 862244496 1149659328 1532879104 1724488992 2299318656 3448977984 4598637312 6897955968 13795911936