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15225927138240 = 26357138313915107
BaseRepresentation
bin1101110110010000111111…
…1110100111101111000000
31222220120210001010011010020
43131210033332213233000
53443430144321410430
652214405552133440
73131015445162660
oct335441776475700
958816701104106
1015225927138240
114940308a26455
12185aa78237280
13865a4cb81070
143a8d201221a0
151b60dbd98b10
hexdd90ffa7bc0

15225927138240 has 896 divisors, whose sum is σ = 60652301230080. Its totient is φ = 3150756790272.

The previous prime is 15225927138223. The next prime is 15225927138259. The reversal of 15225927138240 is 4283172952251.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1007864767 + ... + 1007879873.

It is an arithmetic number, because the mean of its divisors is an integer number (67692300480).

Almost surely, 215225927138240 is an apocalyptic number.

15225927138240 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 15225927138240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30326150615040).

15225927138240 is an abundant number, since it is smaller than the sum of its proper divisors (45426374091840).

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

15225927138240 is a wasteful number, since it uses less digits than its factorization.

15225927138240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15369 (or 15359 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 51.

The spelling of 15225927138240 in words is "fifteen trillion, two hundred twenty-five billion, nine hundred twenty-seven million, one hundred thirty-eight thousand, two hundred forty".