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104237797392 = 243211325312
BaseRepresentation
bin110000100010100001…
…1101001000000010000
3100222001111210202101200
41201011003221000100
53201434334004032
6115515225431200
710350052441641
oct1410503510020
9328044722350
10104237797392
1140230578aa3
121825103b500
139aa2790571
14508bbd56c8
152aa12d347c
hex18450e9010

104237797392 has 90 divisors (see below), whose sum is σ = 294418985406. Its totient is φ = 34424839680.

The previous prime is 104237797369. The next prime is 104237797429. The reversal of 104237797392 is 293797732401.

104237797392 is a `hidden beast` number, since 10 + 4 + 237 + 7 + 9 + 7 + 392 = 666.

It can be written as a sum of positive squares in only one way, i.e., 59037336576 + 45200460816 = 242976^2 + 212604^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 41183167 + ... + 41185697.

Almost surely, 2104237797392 is an apocalyptic number.

104237797392 is a gapful number since it is divisible by the number (12) 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 104237797392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147209492703).

104237797392 is an abundant number, since it is smaller than the sum of its proper divisors (190181188014).

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

104237797392 is an equidigital number, since it uses as much as digits as its factorization.

104237797392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5189 (or 2649 counting only the distinct ones).

The product of its (nonzero) digits is 4000752, while the sum is 54.

The spelling of 104237797392 in words is "one hundred four billion, two hundred thirty-seven million, seven hundred ninety-seven thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 113 144 226 339 452 678 904 1017 1356 1808 2034 2531 2712 4068 5062 5424 7593 8136 10124 15186 16272 20248 22779 30372 40496 45558 60744 91116 121488 182232 286003 364464 572006 858009 1144012 1716018 2288024 2574027 3432036 4576048 5148054 6405961 6864072 10296108 12811922 13728144 19217883 20592216 25623844 38435766 41184432 51247688 57653649 76871532 102495376 115307298 153743064 230614596 307486128 461229192 723873593 922458384 1447747186 2171620779 2895494372 4343241558 5790988744 6514862337 8686483116 11581977488 13029724674 17372966232 26059449348 34745932464 52118898696 104237797392