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13932481925376 = 283474234
BaseRepresentation
bin1100101010111110100010…
…1000101101000100000000
31211022221011121202101110000
43022233220220231010000
53311232210333103001
645344254400240000
72635405614240000
oct312575050550400
954287147671400
1013932481925376
114491806911913
121690260010000
137a0a9aa7aac1
1436249b320000
15192638647a86
hexcabe8a2d100

13932481925376 has 1125 divisors, whose sum is σ = 50668239073991. Its totient is φ = 3807634811904.

The previous prime is 13932481925363. The next prime is 13932481925377. The reversal of 13932481925376 is 67352918423931.

The square root of 13932481925376 is 3732624.

It is a perfect power (a square, a biquadrate), and thus also a powerful number.

13932481925376 is a `hidden beast` number, since 1 + 3 + 9 + 3 + 2 + 4 + 8 + 1 + 92 + 537 + 6 = 666.

It is a super-2 number, since 2×139324819253762 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

Its product of digits (58786560) is a multiple of the sum of its prime divisors (35).

It is not an unprimeable number, because it can be changed into a prime (13932481925377) by changing a digit.

It is a polite number, since it can be written in 124 ways as a sum of consecutive naturals, for example, 605760083701 + ... + 605760083723.

Almost surely, 213932481925376 is an apocalyptic number.

13932481925376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

13932481925376 is the 3732624-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13932481925376

13932481925376 is an abundant number, since it is smaller than the sum of its proper divisors (36735757148615).

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

13932481925376 is an frugal number, since it uses more digits than its factorization.

13932481925376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 35 counting only the distinct ones).

The product of its digits is 58786560, while the sum is 63.

The spelling of 13932481925376 in words is "thirteen trillion, nine hundred thirty-two billion, four hundred eighty-one million, nine hundred twenty-five thousand, three hundred seventy-six".