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12016290384 = 2434721923433
BaseRepresentation
bin10110011000011101…
…00000101001010000
31011000102202210120000
423030032200221100
5144102132243014
65304210450000
7603526532400
oct131416405120
934012683500
1012016290384
1151069788aa
1223b4293900
1311966495c7
1481dc5c800
154a4ddc509
hex2cc3a0a50

12016290384 has 600 divisors, whose sum is σ = 44540274240. Its totient is φ = 3103930368.

The previous prime is 12016290383. The next prime is 12016290397. The reversal of 12016290384 is 48309261021.

12016290384 is a `hidden beast` number, since 1 + 20 + 1 + 629 + 0 + 3 + 8 + 4 = 666.

It is a super-2 number, since 2×120162903842 (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12016290383) by changing a digit.

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 119 ways as a sum of consecutive naturals, for example, 27751032 + ... + 27751464.

Almost surely, 212016290384 is an apocalyptic number.

12016290384 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 12016290384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22270137120).

12016290384 is an abundant number, since it is smaller than the sum of its proper divisors (32523983856).

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

12016290384 is a wasteful number, since it uses less digits than its factorization.

12016290384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 12016290384 in words is "twelve billion, sixteen million, two hundred ninety thousand, three hundred eighty-four".