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12037394880 = 263357228433
BaseRepresentation
bin10110011010111110…
…00001000111000000
31011001220111000111000
423031133001013000
5144123033114010
65310243052000
7604204111500
oct131537010700
934056430430
1012037394880
115117882a35
1223bb371000
13119ab28684
14822993a00
154a6baa7c0
hex2cd7c11c0

12037394880 has 336 divisors, whose sum is σ = 49400094240. Its totient is φ = 2751307776.

The previous prime is 12037394807. The next prime is 12037394917. The reversal of 12037394880 is 8849373021.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-5 number, since 5×120373948805 (a number of 52 digits) contains 55555 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 409144 + ... + 437576.

It is an arithmetic number, because the mean of its divisors is an integer number (147024090).

Almost surely, 212037394880 is an apocalyptic number.

12037394880 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 12037394880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24700047120).

12037394880 is an abundant number, since it is smaller than the sum of its proper divisors (37362699360).

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

12037394880 is a wasteful number, since it uses less digits than its factorization.

12037394880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28473 (or 28450 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 12037394880 in words is "twelve billion, thirty-seven million, three hundred ninety-four thousand, eight hundred eighty".