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12690053376 = 2837111317971
BaseRepresentation
bin10111101000110001…
…01101100100000000
31012202101120111121220
423310120231210000
5201442123202001
65455115515040
7626320450110
oct136430554400
935671514556
1012690053376
115422227a20
122561a58a80
131273100730
14885527040
154e412ac36
hex2f462d900

12690053376 has 576 divisors, whose sum is σ = 48063891456. Its totient is φ = 2860646400.

The previous prime is 12690053351. The next prime is 12690053401. The reversal of 12690053376 is 67335009621.

It is an interprime number because it is at equal distance from previous prime (12690053351) and next prime (12690053401).

It is a super-2 number, since 2×126900533762 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13068571 + ... + 13069541.

It is an arithmetic number, because the mean of its divisors is an integer number (83444256).

Almost surely, 212690053376 is an apocalyptic number.

12690053376 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 12690053376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24031945728).

12690053376 is an abundant number, since it is smaller than the sum of its proper divisors (35373838080).

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

12690053376 is a wasteful number, since it uses less digits than its factorization.

12690053376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1038 (or 1024 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 42.

The spelling of 12690053376 in words is "twelve billion, six hundred ninety million, fifty-three thousand, three hundred seventy-six".