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13922800374 = 237379199749
BaseRepresentation
bin11001111011101110…
…10001001011110110
31022221022012112121010
430331313101023312
5212003214102444
610221313533050
71002006564510
oct147567211366
938838175533
1013922800374
1159a506aa9a
122846874186
13140b61c322
1496113cbb0
155674842b9
hex33ddd12f6

13922800374 has 64 divisors (see below), whose sum is σ = 32722560000. Its totient is φ = 3865822848.

The previous prime is 13922800363. The next prime is 13922800447. The reversal of 13922800374 is 47300822931.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1423252 + ... + 1433000.

It is an arithmetic number, because the mean of its divisors is an integer number (511290000).

Almost surely, 213922800374 is an apocalyptic number.

13922800374 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13922800374, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16361280000).

13922800374 is an abundant number, since it is smaller than the sum of its proper divisors (18799759626).

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

13922800374 is a wasteful number, since it uses less digits than its factorization.

13922800374 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10717.

The product of its (nonzero) digits is 72576, while the sum is 39.

The spelling of 13922800374 in words is "thirteen billion, nine hundred twenty-two million, eight hundred thousand, three hundred seventy-four".

Divisors: 1 2 3 6 7 14 21 37 42 74 111 222 259 518 777 919 1554 1838 2757 5514 6433 9749 12866 19299 19498 29247 34003 38598 58494 68006 68243 102009 136486 204018 204729 238021 360713 409458 476042 714063 721426 1082139 1428126 2164278 2524991 5049982 7574973 8959331 15149946 17918662 26877993 53755986 62715317 125430634 188145951 331495247 376291902 662990494 994485741 1988971482 2320466729 4640933458 6961400187 13922800374