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12990185472 = 21531141293
BaseRepresentation
bin11000001100100011…
…01000000000000000
31020112022022210110110
430012101220000000
5203100441413342
65545000431320
7636623516565
oct140621500000
936468283413
1012990185472
115566691680
122626478540
1312c03466a4
148b333286c
15510663c9c
hex306468000

12990185472 has 256 divisors, whose sum is σ = 38842856640. Its totient is φ = 3827302400.

The previous prime is 12990185443. The next prime is 12990185501. The reversal of 12990185472 is 27458109921.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12990185443) and next prime (12990185501).

It is a tau number, because it is divible by the number of its divisors (256).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44334958 + ... + 44335250.

Almost surely, 212990185472 is an apocalyptic number.

12990185472 is a gapful number since it is divisible by the number (12) 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 12990185472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19421428320).

12990185472 is an abundant number, since it is smaller than the sum of its proper divisors (25852671168).

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

12990185472 is an equidigital number, since it uses as much as digits as its factorization.

12990185472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 48.

The spelling of 12990185472 in words is "twelve billion, nine hundred ninety million, one hundred eighty-five thousand, four hundred seventy-two".