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104267155392 = 263618112347
BaseRepresentation
bin110000100011011001…
…1101000011111000000
3100222010120001022000000
41201012303220133000
53202014342433032
6115522155000000
710350560124531
oct1410663503700
9328116038000
10104267155392
1140246100104
121825aa39000
139aa889c26a
145091a78688
152aa3b81e7c
hex1846ce87c0

104267155392 has 196 divisors, whose sum is σ = 311954957496. Its totient is φ = 34560898560.

The previous prime is 104267155331. The next prime is 104267155403. The reversal of 104267155392 is 293551762401.

104267155392 is a `hidden beast` number, since 1 + 0 + 4 + 2 + 6 + 7 + 1 + 553 + 92 = 666.

It is a super-3 number, since 3×1042671553923 (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 8438563 + ... + 8450909.

It is an arithmetic number, because the mean of its divisors is an integer number (1591606926).

Almost surely, 2104267155392 is an apocalyptic number.

104267155392 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 104267155392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155977478748).

104267155392 is an abundant number, since it is smaller than the sum of its proper divisors (207687802104).

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

104267155392 is an equidigital number, since it uses as much as digits as its factorization.

104267155392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12558 (or 12533 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 104267155392 in words is "one hundred four billion, two hundred sixty-seven million, one hundred fifty-five thousand, three hundred ninety-two".