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12935272500 = 2232541633527
BaseRepresentation
bin11000000110000000…
…01001100000110100
31020101110222221000200
430003000021200310
5202442412210000
65535315440500
7635356000503
oct140300114064
936343887020
1012935272500
115538695757
12260bbb6130
1312b1b5acc7
148a9d1a83a
1550a918500
hex303009834

12935272500 has 180 divisors, whose sum is σ = 41121112032. Its totient is φ = 3427272000.

The previous prime is 12935272489. The next prime is 12935272529. The reversal of 12935272500 is 527253921.

12935272500 is a `hidden beast` number, since 12 + 93 + 52 + 7 + 2 + 500 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

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 59 ways as a sum of consecutive naturals, for example, 3665737 + ... + 3669263.

Almost surely, 212935272500 is an apocalyptic number.

12935272500 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 12935272500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20560556016).

12935272500 is an abundant number, since it is smaller than the sum of its proper divisors (28185839532).

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

12935272500 is a wasteful number, since it uses less digits than its factorization.

12935272500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3720 (or 3700 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The spelling of 12935272500 in words is "twelve billion, nine hundred thirty-five million, two hundred seventy-two thousand, five hundred".