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12607993216 = 2772131011531
BaseRepresentation
bin10111011110111111…
…01011010110000000
31012112200011102020201
423233133223112000
5201310121240331
65443025014544
7624303113500
oct135737532600
935480142221
1012607993216
11538a979a05
12253a484454
13125c0cb720
14878685a00
154dbd1ba61
hex2ef7eb580

12607993216 has 192 divisors, whose sum is σ = 31798161360. Its totient is φ = 4935168000.

The previous prime is 12607993183. The next prime is 12607993241. The reversal of 12607993216 is 61239970621.

It is a happy number.

It is a super-2 number, since 2×126079932162 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8234371 + ... + 8235901.

Almost surely, 212607993216 is an apocalyptic number.

12607993216 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 12607993216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15899080680).

12607993216 is an abundant number, since it is smaller than the sum of its proper divisors (19190168144).

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

12607993216 is a wasteful number, since it uses less digits than its factorization.

12607993216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1673 (or 1654 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 46.

The spelling of 12607993216 in words is "twelve billion, six hundred seven million, nine hundred ninety-three thousand, two hundred sixteen".