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12677327190 = 232511131239409
BaseRepresentation
bin10111100111010000…
…01010100101010110
31012201111121221120200
423303220022211112
5201430343432230
65453543041330
7626104334403
oct136350124526
935644557520
1012677327190
115416025610
122559740246
131270596048
148839732aa
154e2e65160
hex2f3a0a956

12677327190 has 192 divisors, whose sum is σ = 36472550400. Its totient is φ = 3029644800.

The previous prime is 12677327183. The next prime is 12677327219. The reversal of 12677327190 is 9172377621.

12677327190 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×126773271902 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 30995706 + ... + 30996114.

It is an arithmetic number, because the mean of its divisors is an integer number (189961200).

Almost surely, 212677327190 is an apocalyptic number.

12677327190 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12677327190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18236275200).

12677327190 is an abundant number, since it is smaller than the sum of its proper divisors (23795223210).

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

12677327190 is a wasteful number, since it uses less digits than its factorization.

12677327190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 803 (or 800 counting only the distinct ones).

The product of its (nonzero) digits is 222264, while the sum is 45.

The spelling of 12677327190 in words is "twelve billion, six hundred seventy-seven million, three hundred twenty-seven thousand, one hundred ninety".