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12372038640 = 243251341103313
BaseRepresentation
bin10111000010110111…
…00101001111110000
31011221020011200102100
423201123211033300
5200314220214030
65403355420400
7615406410333
oct134133451760
934836150370
1012372038640
115279769825
122493454700
131222266030
148551c461a
154c625e360
hex2e16e53f0

12372038640 has 480 divisors, whose sum is σ = 46429778304. Its totient is φ = 2932899840.

The previous prime is 12372038617. The next prime is 12372038641. The reversal of 12372038640 is 4683027321.

It is a happy number.

12372038640 is a `hidden beast` number, since 1 + 2 + 3 + 7 + 2 + 0 + 3 + 8 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 12372038595 and 12372038604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12372038641) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 39527124 + ... + 39527436.

Almost surely, 212372038640 is an apocalyptic number.

12372038640 is a gapful number since it is divisible by the number (10) 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 12372038640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23214889152).

12372038640 is an abundant number, since it is smaller than the sum of its proper divisors (34057739664).

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

12372038640 is a wasteful number, since it uses less digits than its factorization.

12372038640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 489 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 12372038640 in words is "twelve billion, three hundred seventy-two million, thirty-eight thousand, six hundred forty".