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12770036832 = 2537312772213
BaseRepresentation
bin10111110010010011…
…10100110001100000
31012221222002002022010
423321021310301200
5202123112134312
65511054112520
7631311344040
oct137111646140
935858062263
1012770036832
115463397753
1225847ab740
131286856417
14891dc7720
154eb17993c
hex2f9274c60

12770036832 has 192 divisors, whose sum is σ = 39706619904. Its totient is φ = 3516549120.

The previous prime is 12770036831. The next prime is 12770036861. The reversal of 12770036832 is 23863007721.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12770036831) 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, 5769358 + ... + 5771570.

It is an arithmetic number, because the mean of its divisors is an integer number (206805312).

Almost surely, 212770036832 is an apocalyptic number.

12770036832 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 12770036832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19853309952).

12770036832 is an abundant number, since it is smaller than the sum of its proper divisors (26936583072).

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

12770036832 is a wasteful number, since it uses less digits than its factorization.

12770036832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2541 (or 2533 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 39.

The spelling of 12770036832 in words is "twelve billion, seven hundred seventy million, thirty-six thousand, eight hundred thirty-two".