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13890293196 = 22313219313547
BaseRepresentation
bin11001110111110110…
…10000110111001100
31022212001001000010120
430323323100313030
5211421403340241
610214153104540
71001133354423
oct147373206714
938761030116
1013890293196
11598878795a
1228379b8150
13140497a100
1495aaba2ba
155646b2666
hex33bed0dcc

13890293196 has 72 divisors (see below), whose sum is σ = 35123667264. Its totient is φ = 4270518720.

The previous prime is 13890293161. The next prime is 13890293231. The reversal of 13890293196 is 69139209831.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (13890293161) and next prime (13890293231).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3914295 + ... + 3917841.

It is an arithmetic number, because the mean of its divisors is an integer number (487828712).

Almost surely, 213890293196 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 13890293196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17561833632).

13890293196 is an abundant number, since it is smaller than the sum of its proper divisors (21233374068).

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

13890293196 is a wasteful number, since it uses less digits than its factorization.

13890293196 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5511 (or 5496 counting only the distinct ones).

The product of its (nonzero) digits is 629856, while the sum is 51.

The spelling of 13890293196 in words is "thirteen billion, eight hundred ninety million, two hundred ninety-three thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 169 338 507 676 1014 1931 2028 3547 3862 5793 7094 7724 10641 11586 14188 21282 23172 25103 42564 46111 50206 75309 92222 100412 138333 150618 184444 276666 301236 326339 553332 599443 652678 979017 1198886 1305356 1798329 1958034 2397772 3596658 3916068 6849257 7193316 13698514 20547771 27397028 41095542 82191084 89040341 178080682 267121023 356161364 534242046 1068484092 1157524433 2315048866 3472573299 4630097732 6945146598 13890293196