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12341777137470 = 23251183892337243
BaseRepresentation
bin1011001110011000101100…
…1111011111111100111110
31121200212021200001121100100
42303212023033133330332
53104201424421344340
642125422324141530
72412443512522434
oct263461317377476
947625250047310
1012341777137470
113a291334988a0
121473b042378a6
136b6a94817781
143094b9332d54
15166088105830
hexb398b3dff3e

12341777137470 has 384 divisors, whose sum is σ = 35984311534080. Its totient is φ = 2909740584960.

The previous prime is 12341777137451. The next prime is 12341777137489. The reversal of 12341777137470 is 7473177714321.

It is a happy number.

12341777137470 is a `hidden beast` number, since 1 + 2 + 3 + 4 + 1 + 77 + 71 + 37 + 470 = 666.

It is an interprime number because it is at equal distance from previous prime (12341777137451) and next prime (12341777137489).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1703955669 + ... + 1703962911.

It is an arithmetic number, because the mean of its divisors is an integer number (93709144620).

Almost surely, 212341777137470 is an apocalyptic number.

12341777137470 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12341777137470, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17992155767040).

12341777137470 is an abundant number, since it is smaller than the sum of its proper divisors (23642534396610).

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

12341777137470 is a wasteful number, since it uses less digits than its factorization.

12341777137470 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7672 (or 7669 counting only the distinct ones).

The product of its (nonzero) digits is 4840416, while the sum is 54.

The spelling of 12341777137470 in words is "twelve trillion, three hundred forty-one billion, seven hundred seventy-seven million, one hundred thirty-seven thousand, four hundred seventy".