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123421415832 = 23321113107112031
BaseRepresentation
bin111001011110001111…
…1010101100110011000
3102210120110011112200100
41302330133111212120
54010231340301312
6132410553135400
711626332503451
oct1627437254630
9383513145610
10123421415832
1148385198510
121bb056ba560
13b83bc9ab90
145d8b8ca128
15332553d5dc
hex1cbc7d5998

123421415832 has 192 divisors, whose sum is σ = 396378178560. Its totient is φ = 34200518400.

The previous prime is 123421415801. The next prime is 123421415851. The reversal of 123421415832 is 238514124321.

123421415832 is a `hidden beast` number, since 1 + 2 + 34 + 2 + 1 + 41 + 583 + 2 = 666.

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 47 ways as a sum of consecutive naturals, for example, 1045657 + ... + 1157687.

It is an arithmetic number, because the mean of its divisors is an integer number (2064469680).

Almost surely, 2123421415832 is an apocalyptic number.

123421415832 is a gapful number since it is divisible by the number (12) 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 123421415832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198189089280).

123421415832 is an abundant number, since it is smaller than the sum of its proper divisors (272956762728).

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

123421415832 is a wasteful number, since it uses less digits than its factorization.

123421415832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112174 (or 112167 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The spelling of 123421415832 in words is "one hundred twenty-three billion, four hundred twenty-one million, four hundred fifteen thousand, eight hundred thirty-two".