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13196353920 = 273510876323
BaseRepresentation
bin11000100101001000…
…00110000110000000
31021001200021020101220
430102210012012000
5204011231311140
610021243355040
7645006105021
oct142244060600
937050236356
1013196353920
115661aa8022
122683522a80
131323c80559
148d287cc48
155237dabd0
hex312906180

13196353920 has 128 divisors (see below), whose sum is σ = 42108733440. Its totient is φ = 3515234304.

The previous prime is 13196353873. The next prime is 13196353927. The reversal of 13196353920 is 2935369131.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13196353927) 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, 2083879 + ... + 2090201.

It is an arithmetic number, because the mean of its divisors is an integer number (328974480).

Almost surely, 213196353920 is an apocalyptic number.

13196353920 is a gapful number since it is divisible by the number (10) 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 13196353920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21054366720).

13196353920 is an abundant number, since it is smaller than the sum of its proper divisors (28912379520).

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

13196353920 is a wasteful number, since it uses less digits than its factorization.

13196353920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7432 (or 7420 counting only the distinct ones).

The product of its (nonzero) digits is 131220, while the sum is 42.

The spelling of 13196353920 in words is "thirteen billion, one hundred ninety-six million, three hundred fifty-three thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1087 1920 2174 3261 4348 5435 6323 6522 8696 10870 12646 13044 16305 17392 18969 21740 25292 26088 31615 32610 34784 37938 43480 50584 52176 63230 65220 69568 75876 86960 94845 101168 104352 126460 130440 139136 151752 173920 189690 202336 208704 252920 260880 303504 347840 379380 404672 417408 505840 521760 607008 695680 758760 809344 1011680 1043520 1214016 1517520 2023360 2087040 2428032 3035040 4046720 6070080 6873101 12140160 13746202 20619303 27492404 34365505 41238606 54984808 68731010 82477212 103096515 109969616 137462020 164954424 206193030 219939232 274924040 329908848 412386060 439878464 549848080 659817696 824772120 879756928 1099696160 1319635392 1649544240 2199392320 2639270784 3299088480 4398784640 6598176960 13196353920