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13959895104 = 26365472
BaseRepresentation
bin11010000000001001…
…10001100001000000
31100000220000011000000
431000010301201000
5212042213120404
610225121000000
71002640102431
oct150004614100
940026004000
1013959895104
115a13aa68a1
122857183000
13141620967c
14966037488
1556a860339
hex340131840

13959895104 has 147 divisors (see below), whose sum is σ = 41609568927. Its totient is φ = 4644791424.

The previous prime is 13959895093. The next prime is 13959895141. The reversal of 13959895104 is 40159895931.

The square root of 13959895104 is 118152.

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

13959895104 is a `hidden beast` number, since 1 + 39 + 5 + 98 + 9 + 510 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a zygodrome in base 3.

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 25520559 + ... + 25521105.

Almost surely, 213959895104 is an apocalyptic number.

13959895104 is the 118152-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13959895104

13959895104 is an abundant number, since it is smaller than the sum of its proper divisors (27649673823).

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

13959895104 is an frugal number, since it uses more digits than its factorization.

13959895104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1124 (or 552 counting only the distinct ones).

The product of its (nonzero) digits is 1749600, while the sum is 54.

The spelling of 13959895104 in words is "thirteen billion, nine hundred fifty-nine million, eight hundred ninety-five thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 243 288 324 432 486 547 576 648 729 864 972 1094 1296 1458 1641 1728 1944 2188 2592 2916 3282 3888 4376 4923 5184 5832 6564 7776 8752 9846 11664 13128 14769 15552 17504 19692 23328 26256 29538 35008 39384 44307 46656 52512 59076 78768 88614 105024 118152 132921 157536 177228 236304 265842 299209 315072 354456 398763 472608 531684 598418 708912 797526 897627 945216 1063368 1196836 1417824 1595052 1795254 2126736 2393672 2692881 2835648 3190104 3590508 4253472 4787344 5385762 6380208 7181016 8078643 8506944 9574688 10771524 12760416 14362032 16157286 19149376 21543048 24235929 25520832 28724064 32314572 43086096 48471858 57448128 64629144 72707787 86172192 96943716 129258288 145415574 172344384 193887432 218123361 258516576 290831148 387774864 436246722 517033152 581662296 775549728 872493444 1163324592 1551099456 1744986888 2326649184 3489973776 4653298368 6979947552 13959895104