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12158052480 = 273357283173
BaseRepresentation
bin10110101001010110…
…10010100010000000
31011101022112001121000
423110223102202000
5144344430134410
65330233132000
7610200512100
oct132453224200
934338461530
1012158052480
1151799a3862
12243385a000
1311b9b229c2
14834a01200
154b2590dc0
hex2d4ad2880

12158052480 has 768 divisors, whose sum is σ = 50986454400. Its totient is φ = 2729631744.

The previous prime is 12158052479. The next prime is 12158052493. The reversal of 12158052480 is 8425085121.

12158052480 is a `hidden beast` number, since 1 + 2 + 1 + 58 + 0 + 524 + 80 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 70277674 + ... + 70277846.

Almost surely, 212158052480 is an apocalyptic number.

12158052480 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 12158052480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25493227200).

12158052480 is an abundant number, since it is smaller than the sum of its proper divisors (38828401920).

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

12158052480 is a wasteful number, since it uses less digits than its factorization.

12158052480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 36.

The spelling of 12158052480 in words is "twelve billion, one hundred fifty-eight million, fifty-two thousand, four hundred eighty".