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13604691968 = 2137673541
BaseRepresentation
bin11001010101110011…
…10010000000000000
31022010010121221220022
430222321302000000
5210330300120333
610125551433012
7661064654660
oct145271620000
938103557808
1013604691968
11585154848a
122778225768
13138a7510ba
14930bb41a0
15549599c98
hex32ae72000

13604691968 has 112 divisors (see below), whose sum is σ = 31567550784. Its totient is φ = 5741936640.

The previous prime is 13604691967. The next prime is 13604691979. The reversal of 13604691968 is 86919640631.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (13604691967) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3840278 + ... + 3843818.

It is an arithmetic number, because the mean of its divisors is an integer number (281853132).

Almost surely, 213604691968 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 13604691968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15783775392).

13604691968 is an abundant number, since it is smaller than the sum of its proper divisors (17962858816).

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

13604691968 is an frugal number, since it uses more digits than its factorization.

13604691968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3641 (or 3617 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 53.

The spelling of 13604691968 in words is "thirteen billion, six hundred four million, six hundred ninety-one thousand, nine hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 67 112 128 134 224 256 268 448 469 512 536 896 938 1024 1072 1792 1876 2048 2144 3541 3584 3752 4096 4288 7082 7168 7504 8192 8576 14164 14336 15008 17152 24787 28328 28672 30016 34304 49574 56656 57344 60032 68608 99148 113312 120064 137216 198296 226624 237247 240128 274432 396592 453248 474494 480256 548864 793184 906496 948988 960512 1586368 1660729 1812992 1897976 1921024 3172736 3321458 3625984 3795952 3842048 6345472 6642916 7251968 7591904 12690944 13285832 14503936 15183808 25381888 26571664 29007872 30367616 50763776 53143328 60735232 101527552 106286656 121470464 203055104 212573312 242940928 425146624 485881856 850293248 971763712 1700586496 1943527424 3401172992 6802345984 13604691968