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13342481376 = 2537101196583
BaseRepresentation
bin11000110110100011…
…00001101111100000
31021102212020021120220
430123101201233200
5204311133401001
610043543403040
7651432135420
oct143321415740
937385207526
1013342481376
115727534814
122704453480
1313483248c3
1490803a480
15531552c36
hex31b461be0

13342481376 has 96 divisors (see below), whose sum is σ = 40423961088. Its totient is φ = 3774374400.

The previous prime is 13342481333. The next prime is 13342481381. The reversal of 13342481376 is 67318424331.

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

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30420 + ... + 166163.

It is an arithmetic number, because the mean of its divisors is an integer number (421082928).

Almost surely, 213342481376 is an apocalyptic number.

13342481376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13342481376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20211980544).

13342481376 is an abundant number, since it is smaller than the sum of its proper divisors (27081479712).

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

13342481376 is a wasteful number, since it uses less digits than its factorization.

13342481376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196704 (or 196696 counting only the distinct ones).

The product of its digits is 290304, while the sum is 42.

The spelling of 13342481376 in words is "thirteen billion, three hundred forty-two million, four hundred eighty-one thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 101 112 168 202 224 303 336 404 606 672 707 808 1212 1414 1616 2121 2424 2828 3232 4242 4848 5656 8484 9696 11312 16968 22624 33936 67872 196583 393166 589749 786332 1179498 1376081 1572664 2358996 2752162 3145328 4128243 4717992 5504324 6290656 8256486 9435984 11008648 16512972 18871968 19854883 22017296 33025944 39709766 44034592 59564649 66051888 79419532 119129298 132103776 138984181 158839064 238258596 277968362 317678128 416952543 476517192 555936724 635356256 833905086 953034384 1111873448 1667810172 1906068768 2223746896 3335620344 4447493792 6671240688 13342481376