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12785390816 = 251150372211
BaseRepresentation
bin10111110100001000…
…11001010011100000
31020000000222011000012
423322010121103200
5202141030001231
65512403144052
7631556012612
oct137204312340
936000864005
1012785390816
1154710243a0
122589975028
131289aa0c13
14894062db2
154ec6ade2b
hex2fa1194e0

12785390816 has 48 divisors (see below), whose sum is σ = 27514505088. Its totient is φ = 5799907200.

The previous prime is 12785390741. The next prime is 12785390819. The reversal of 12785390816 is 61809358721.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12785390819) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 140951 + ... + 213161.

It is an arithmetic number, because the mean of its divisors is an integer number (573218856).

Almost surely, 212785390816 is an apocalyptic number.

12785390816 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 12785390816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13757252544).

12785390816 is an abundant number, since it is smaller than the sum of its proper divisors (14729114272).

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

12785390816 is a wasteful number, since it uses less digits than its factorization.

12785390816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72735 (or 72727 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 50.

The spelling of 12785390816 in words is "twelve billion, seven hundred eighty-five million, three hundred ninety thousand, eight hundred sixteen".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 352 503 1006 2012 4024 5533 8048 11066 16096 22132 44264 72211 88528 144422 177056 288844 577688 794321 1155376 1588642 2310752 3177284 6354568 12709136 25418272 36322133 72644266 145288532 290577064 399543463 581154128 799086926 1162308256 1598173852 3196347704 6392695408 12785390816