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1139620426560 = 26325711174173101
BaseRepresentation
bin10000100101010110101…
…010111011001101000000
311000221120002212222100200
4100211112222323031000
5122132420312122220
62231311232445200
7145222566540150
oct20452652731500
94027502788320
101139620426560
113aa346025980
12164a486a9800
138360931b865
143d22d4aa760
151e99deab890
hex10956abb340

1139620426560 has 2688 divisors, whose sum is σ = 5426542937088. Its totient is φ = 212336640000.

The previous prime is 1139620426541. The next prime is 1139620426597. The reversal of 1139620426560 is 656240269311.

1139620426560 is a `hidden beast` number, since 1 + 1 + 3 + 9 + 62 + 0 + 4 + 26 + 560 = 666.

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 383 ways as a sum of consecutive naturals, for example, 11283370510 + ... + 11283370610.

It is an arithmetic number, because the mean of its divisors is an integer number (2018803176).

Almost surely, 21139620426560 is an apocalyptic number.

1139620426560 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 1139620426560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2713271468544).

1139620426560 is an abundant number, since it is smaller than the sum of its proper divisors (4286922510528).

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

1139620426560 is a wasteful number, since it uses less digits than its factorization.

1139620426560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 1139620426560 in words is "one trillion, one hundred thirty-nine billion, six hundred twenty million, four hundred twenty-six thousand, five hundred sixty".