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12634042932 = 223371719311669
BaseRepresentation
bin10111100010000110…
…00011001000110100
31012121111011212202000
423301003003020310
5201333303333212
65445355215300
7625040410260
oct136103031064
935544155660
1012634042932
1153a36514a5
122547147530
13126461c664
1487bd070a0
154de2651dc
hex2f10c3234

12634042932 has 384 divisors, whose sum is σ = 43094016000. Its totient is φ = 3112888320.

The previous prime is 12634042921. The next prime is 12634042943. The reversal of 12634042932 is 23924043621.

12634042932 is a `hidden beast` number, since 1 + 26 + 340 + 4 + 293 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (12634042921) and next prime (12634042943).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7568994 + ... + 7570662.

It is an arithmetic number, because the mean of its divisors is an integer number (112224000).

Almost surely, 212634042932 is an apocalyptic number.

12634042932 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 12634042932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21547008000).

12634042932 is an abundant number, since it is smaller than the sum of its proper divisors (30459973068).

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

12634042932 is a wasteful number, since it uses less digits than its factorization.

12634042932 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1756 (or 1748 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 12634042932 in words is "twelve billion, six hundred thirty-four million, forty-two thousand, nine hundred thirty-two".