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12703215744 = 2737231973
BaseRepresentation
bin10111101010010101…
…11011000010000000
31012210022100020000000
423311022323002000
5202004010400434
65500310000000
7626540360262
oct136512730200
935708306000
1012703215744
1154296a800a
122566346000
131275a5b80b
14887191b32
154e537ab99
hex2f52bb080

12703215744 has 256 divisors, whose sum is σ = 39625286400. Its totient is φ = 4048247808.

The previous prime is 12703215731. The next prime is 12703215761. The reversal of 12703215744 is 44751230721.

12703215744 is a `hidden beast` number, since 12 + 70 + 3 + 2 + 1 + 574 + 4 = 666.

It is a super-2 number, since 2×127032157442 (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 junction number, because it is equal to n+sod(n) for n = 12703215699 and 12703215708.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6437542 + ... + 6439514.

It is an arithmetic number, because the mean of its divisors is an integer number (154786275).

Almost surely, 212703215744 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12703215744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19812643200).

12703215744 is an abundant number, since it is smaller than the sum of its proper divisors (26922070656).

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

12703215744 is an frugal number, since it uses more digits than its factorization.

12703215744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2031 (or 2001 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The spelling of 12703215744 in words is "twelve billion, seven hundred three million, two hundred fifteen thousand, seven hundred forty-four".