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12382690500 = 22325347127461
BaseRepresentation
bin10111000100001000…
…01101110011000100
31011221222012212000200
423202010031303010
5200324432044000
65404420010500
7615566063325
oct134204156304
934858185020
1012382690500
115284784714
122496b30a30
1312245254cb
1485679844c
154c7165500
hex2e210dcc4

12382690500 has 288 divisors, whose sum is σ = 40295743488. Its totient is φ = 3199392000.

The previous prime is 12382690477. The next prime is 12382690501. The reversal of 12382690500 is 509628321.

12382690500 is a `hidden beast` number, since 12 + 3 + 82 + 69 + 0 + 500 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (12382690501) 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, 26860270 + ... + 26860730.

It is an arithmetic number, because the mean of its divisors is an integer number (139915776).

Almost surely, 212382690500 is an apocalyptic number.

12382690500 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 12382690500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20147871744).

12382690500 is an abundant number, since it is smaller than the sum of its proper divisors (27913052988).

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

12382690500 is a wasteful number, since it uses less digits than its factorization.

12382690500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 660 (or 645 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 12382690500 in words is "twelve billion, three hundred eighty-two million, six hundred ninety thousand, five hundred".