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12385154496 = 26311133171423
BaseRepresentation
bin10111000100011011…
…00111010111000000
31011222010212000222210
423202031213113000
5200331044420441
65404544502120
7615626035101
oct134215472700
934863760883
1012385154496
115286107980
12249791a940
131224ba8bb0
14856c3a3a8
154c74a0616
hex2e23675c0

12385154496 has 224 divisors, whose sum is σ = 38646494208. Its totient is φ = 3451023360.

The previous prime is 12385154489. The next prime is 12385154501. The reversal of 12385154496 is 69445158321.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 8702841 + ... + 8704263.

It is an arithmetic number, because the mean of its divisors is an integer number (172528992).

Almost surely, 212385154496 is an apocalyptic number.

12385154496 is a gapful number since it is divisible by the number (16) 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 12385154496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19323247104).

12385154496 is an abundant number, since it is smaller than the sum of its proper divisors (26261339712).

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

12385154496 is a wasteful number, since it uses less digits than its factorization.

12385154496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1779 (or 1769 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 48.

The spelling of 12385154496 in words is "twelve billion, three hundred eighty-five million, one hundred fifty-four thousand, four hundred ninety-six".