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13146255540 = 223251122272659
BaseRepresentation
bin11000011111001001…
…11111000010110100
31020221011222222100100
430033210333002310
5203410420134130
610012253514100
7643530220425
oct141744770264
936834888310
1013146255540
11563679a400
12266a7a2930
13131678c442
148c9d5b64c
1551e1e1c60
hex30f93f0b4

13146255540 has 216 divisors, whose sum is σ = 44041364640. Its totient is φ = 3171738240.

The previous prime is 13146255509. The next prime is 13146255557. The reversal of 13146255540 is 4555264131.

13146255540 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 62 + 55 + 540 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 13146255495 and 13146255504.

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, 4942731 + ... + 4945389.

Almost surely, 213146255540 is an apocalyptic number.

13146255540 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 13146255540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22020682320).

13146255540 is an abundant number, since it is smaller than the sum of its proper divisors (30895109100).

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

13146255540 is a wasteful number, since it uses less digits than its factorization.

13146255540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2923 (or 2907 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 13146255540 in words is "thirteen billion, one hundred forty-six million, two hundred fifty-five thousand, five hundred forty".