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12354103944 = 23327137126557
BaseRepresentation
bin10111000000101110…
…01010101010001000
31011212222102111122100
423200113022222020
5200300122311234
65401515153400
7615101102520
oct134027125210
934788374570
1012354103944
11526a62a166
122489445860
13121b6269a0
14852a76680
154c48ba399
hex2e05caa88

12354103944 has 192 divisors, whose sum is σ = 41761923840. Its totient is φ = 3212213760.

The previous prime is 12354103933. The next prime is 12354103963. The reversal of 12354103944 is 44930145321.

12354103944 is a `hidden beast` number, since 1 + 23 + 541 + 0 + 3 + 94 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 12354103899 and 12354103908.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 451914 + ... + 478470.

It is an arithmetic number, because the mean of its divisors is an integer number (217510020).

Almost surely, 212354103944 is an apocalyptic number.

12354103944 is a gapful number since it is divisible by the number (14) 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 12354103944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20880961920).

12354103944 is an abundant number, since it is smaller than the sum of its proper divisors (29407819896).

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

12354103944 is a wasteful number, since it uses less digits than its factorization.

12354103944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26660 (or 26653 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 12354103944 in words is "twelve billion, three hundred fifty-four million, one hundred three thousand, nine hundred forty-four".