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104134892840 = 23511499474289
BaseRepresentation
bin110000011111011101…
…1000101110100101000
3100221210100011122212222
41200332323011310220
53201232013032330
6115501112053212
710344362661446
oct1407673056450
9327710148788
10104134892840
1140188483310
1218222694208
139a873709b4
14507c289b96
152a972580e5
hex183eec5d28

104134892840 has 64 divisors (see below), whose sum is σ = 256116600000. Its totient is φ = 37791267840.

The previous prime is 104134892839. The next prime is 104134892857. The reversal of 104134892840 is 48298431401.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 104134892791 and 104134892800.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17585 + ... + 456704.

It is an arithmetic number, because the mean of its divisors is an integer number (4001821875).

Almost surely, 2104134892840 is an apocalyptic number.

104134892840 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 104134892840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128058300000).

104134892840 is an abundant number, since it is smaller than the sum of its proper divisors (151981707160).

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

104134892840 is a wasteful number, since it uses less digits than its factorization.

104134892840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474810 (or 474806 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 44.

The spelling of 104134892840 in words is "one hundred four billion, one hundred thirty-four million, eight hundred ninety-two thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 499 998 1996 2495 3992 4990 5489 9980 10978 19960 21956 27445 43912 54890 109780 219560 474289 948578 1897156 2371445 3794312 4742890 5217179 9485780 10434358 18971560 20868716 26085895 41737432 52171790 104343580 208687160 236670211 473340422 946680844 1183351055 1893361688 2366702110 2603372321 4733404220 5206744642 9466808440 10413489284 13016861605 20826978568 26033723210 52067446420 104134892840