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13455741664832 = 2619591493125621
BaseRepresentation
bin1100001111001110100010…
…1100111011111001000000
31202122100121202211212100012
43003303220230323321000
53230424324331233312
644341252110044052
72556100552004645
oct303635054737100
952570552755305
1013455741664832
114318603419995
1216139907a9628
13767b4276198c
143473932bbdcc
15185034a2e322
hexc3ce8b3be40

13455741664832 has 112 divisors (see below), whose sum is σ = 28602320443200. Its totient is φ = 6261495736320.

The previous prime is 13455741664823. The next prime is 13455741664837. The reversal of 13455741664832 is 23846614755431.

13455741664832 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (59).

It is not an unprimeable number, because it can be changed into a prime (13455741664837) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 107050982 + ... + 107176602.

It is an arithmetic number, because the mean of its divisors is an integer number (255377861100).

Almost surely, 213455741664832 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 13455741664832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14301160221600).

13455741664832 is an abundant number, since it is smaller than the sum of its proper divisors (15146578778368).

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

13455741664832 is a wasteful number, since it uses less digits than its factorization.

13455741664832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127204 (or 127194 counting only the distinct ones).

The product of its digits is 58060800, while the sum is 59.

The spelling of 13455741664832 in words is "thirteen trillion, four hundred fifty-five billion, seven hundred forty-one million, six hundred sixty-four thousand, eight hundred thirty-two".

Divisors: 1 2 4 8 16 19 32 38 59 64 76 118 152 236 304 472 608 944 1121 1216 1493 1888 2242 2986 3776 4484 5972 8968 11944 17936 23888 28367 35872 47776 56734 71744 88087 95552 113468 125621 176174 226936 251242 352348 453872 502484 704696 907744 1004968 1409392 1673653 1815488 2009936 2386799 2818784 3347306 4019872 4773598 5637568 6694612 7411639 8039744 9547196 13389224 14823278 19094392 26778448 29646556 38188784 53556896 59293112 76377568 107113792 118586224 140821141 152755136 187552153 237172448 281642282 375104306 474344896 563284564 750208612 1126569128 1500417224 2253138256 3000834448 3563490907 4506276512 6001668896 7126981814 9012553024 11065577027 12003337792 14253963628 22131154054 28507927256 44262308108 57015854512 88524616216 114031709024 177049232432 210245963513 228063418048 354098464864 420491927026 708196929728 840983854052 1681967708104 3363935416208 6727870832416 13455741664832