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13492293120 = 2935523241
BaseRepresentation
bin11001001000011010…
…00000111000000000
31021211022010111200000
430210031000320000
5210113011334440
610110454400000
7655231412355
oct144415007000
937738114600
1013492293120
1157a4058579
122746660000
131370388bc7
1491dcb662c
1553e796730
hex324340e00

13492293120 has 720 divisors, whose sum is σ = 51892272432. Its totient is φ = 3357573120.

The previous prime is 13492293119. The next prime is 13492293131. The reversal of 13492293120 is 2139229431.

13492293120 is a `hidden beast` number, since 1 + 349 + 2 + 293 + 1 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 71 ways as a sum of consecutive naturals, for example, 329080300 + ... + 329080340.

Almost surely, 213492293120 is an apocalyptic number.

13492293120 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 13492293120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25946136216).

13492293120 is an abundant number, since it is smaller than the sum of its proper divisors (38399979312).

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

13492293120 is an frugal number, since it uses more digits than its factorization.

13492293120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 13492293120 in words is "thirteen billion, four hundred ninety-two million, two hundred ninety-three thousand, one hundred twenty".