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12553685130240 = 210311513841
BaseRepresentation
bin1011011010101110000111…
…1100010101110000000000
31122110010020220100000000000
42312223201330111300000
53121134421343131430
642411030000000000
72433655006660512
oct266534174256000
948403226300000
1012553685130240
113aaaa95a89231
1214a8ba3900000
13700a65bc59c7
1431585cb21bb2
1516b83bbc3e60
hexb6ae1f15c00

12553685130240 has 528 divisors, whose sum is σ = 45174378019680. Its totient is φ = 3347407503360.

The previous prime is 12553685130227. The next prime is 12553685130253. The reversal of 12553685130240 is 4203158635521.

It is a happy number.

12553685130240 is a `hidden beast` number, since 1 + 2 + 5 + 53 + 68 + 513 + 0 + 24 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (12553685130227) and next prime (12553685130253).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 906985720 + ... + 906999560.

Almost surely, 212553685130240 is an apocalyptic number.

12553685130240 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 12553685130240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22587189009840).

12553685130240 is an abundant number, since it is smaller than the sum of its proper divisors (32620692889440).

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

12553685130240 is an frugal number, since it uses more digits than its factorization.

12553685130240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13899 (or 13851 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The spelling of 12553685130240 in words is "twelve trillion, five hundred fifty-three billion, six hundred eighty-five million, one hundred thirty thousand, two hundred forty".