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123663620216136 = 2337112132320345863
BaseRepresentation
bin11100000111100010101110…
…001001111001010101001000
3121012212010102022120012120010
4130013202232021321111020
5112202101043233404021
61115002141032431520
735022254535205050
oct3407425611712510
9535763368505503
10123663620216136
11364484a0787500
1211a52a082485a0
135400577381c80
1422774cb7d2560
15e46b941c1976
hex7078ae279548

123663620216136 has 384 divisors, whose sum is σ = 436423665807360. Its totient is φ = 28360503959040.

The previous prime is 123663620216009. The next prime is 123663620216189. The reversal of 123663620216136 is 631612026366321.

123663620216136 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4094860 + ... + 16251003.

It is an arithmetic number, because the mean of its divisors is an integer number (1136519963040).

Almost surely, 2123663620216136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123663620216136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218211832903680).

123663620216136 is an abundant number, since it is smaller than the sum of its proper divisors (312760045591224).

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

123663620216136 is a wasteful number, since it uses less digits than its factorization.

123663620216136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20345937 (or 20345922 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 48.

The spelling of 123663620216136 in words is "one hundred twenty-three trillion, six hundred sixty-three billion, six hundred twenty million, two hundred sixteen thousand, one hundred thirty-six".