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12363890040 = 23325131409641
BaseRepresentation
bin10111000001111000…
…11111110101111000
31011220122211200122100
423200330133311320
5200310123440130
65402505023400
7615250221435
oct134074376570
934818750570
1012363890040
115275103647
122490784b60
131220672088
148540a2b8c
154c569ec60
hex2e0f1fd78

12363890040 has 192 divisors, whose sum is σ = 40651696800. Its totient is φ = 3258777600.

The previous prime is 12363890039. The next prime is 12363890069. The reversal of 12363890040 is 4009836321.

12363890040 is a `hidden beast` number, since 1 + 236 + 389 + 0 + 0 + 40 = 666.

It is a super-2 number, since 2×123638900402 (a number of 21 digits) contains 22 as substring.

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 = 12363889977 and 12363890004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19288120 + ... + 19288760.

Almost surely, 212363890040 is an apocalyptic number.

12363890040 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 12363890040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20325848400).

12363890040 is an abundant number, since it is smaller than the sum of its proper divisors (28287806760).

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

12363890040 is a wasteful number, since it uses less digits than its factorization.

12363890040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1198 (or 1191 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 12363890040 in words is "twelve billion, three hundred sixty-three million, eight hundred ninety thousand, forty".