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13392231552 = 27367229101
BaseRepresentation
bin11000111100011110…
…10011110010000000
31021120022211212000000
430132033103302000
5204411402402202
610052522000000
7652605042600
oct143617236200
937508755000
1013392231552
115752624867
122719046000
13135572338b
149108aac00
15535acd91c
hex31e3d3c80

13392231552 has 672 divisors, whose sum is σ = 48613470300. Its totient is φ = 3657830400.

The previous prime is 13392231533. The next prime is 13392231569. The reversal of 13392231552 is 25513229331.

13392231552 is a `hidden beast` number, since 1 + 339 + 2 + 2 + 315 + 5 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 12182861376 + 1209370176 = 110376^2 + 34776^2 .

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 132596302 + ... + 132596402.

Almost surely, 213392231552 is an apocalyptic number.

13392231552 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 13392231552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24306735150).

13392231552 is an abundant number, since it is smaller than the sum of its proper divisors (35221238748).

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

13392231552 is an equidigital number, since it uses as much as digits as its factorization.

13392231552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 142 counting only the distinct ones).

The product of its digits is 48600, while the sum is 36.

The spelling of 13392231552 in words is "thirteen billion, three hundred ninety-two million, two hundred thirty-one thousand, five hundred fifty-two".