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12697213536 = 253377328759
BaseRepresentation
bin10111101001101000…
…00001101001100000
31012202220001021112000
423310310001221200
5202000441313121
65455533204000
7626435351160
oct136464015140
935686037460
1012697213536
115426278507
122564330600
131274739807
1488646c5a0
154e4a92526
hex2f4d01a60

12697213536 has 192 divisors, whose sum is σ = 42905318400. Its totient is φ = 3577955328.

The previous prime is 12697213519. The next prime is 12697213537. The reversal of 12697213536 is 63531279621.

12697213536 is a `hidden beast` number, since 1 + 2 + 6 + 97 + 21 + 3 + 536 = 666.

It is a super-2 number, since 2×126972135362 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12697213491 and 12697213500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12697213537) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 427125 + ... + 455883.

It is an arithmetic number, because the mean of its divisors is an integer number (223465200).

Almost surely, 212697213536 is an apocalyptic number.

12697213536 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 12697213536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21452659200).

12697213536 is an abundant number, since it is smaller than the sum of its proper divisors (30208104864).

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

12697213536 is a wasteful number, since it uses less digits than its factorization.

12697213536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28858 (or 28844 counting only the distinct ones).

The product of its digits is 408240, while the sum is 45.

The spelling of 12697213536 in words is "twelve billion, six hundred ninety-seven million, two hundred thirteen thousand, five hundred thirty-six".