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1139564238120 = 23325711532333329
BaseRepresentation
bin10000100101010011010…
…100100101010100101000
311000221102012011022022100
4100211103110211110220
5122132311421104440
62231301504253400
7145221315126360
oct20452324452450
94027365138270
101139564238120
113aa317338750
12164a31911260
13835ca7a7769
143d225c419a0
151e9990ad230
hex10953525528

1139564238120 has 768 divisors, whose sum is σ = 4726187481600. Its totient is φ = 231258193920.

The previous prime is 1139564238091. The next prime is 1139564238149. The reversal of 1139564238120 is 218324659311.

1139564238120 is a `hidden beast` number, since 1 + 1 + 3 + 9 + 564 + 2 + 3 + 81 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1139564238091) and next prime (1139564238149).

It is a super-2 number, since 2×11395642381202 (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 342312616 + ... + 342315944.

It is an arithmetic number, because the mean of its divisors is an integer number (6153889950).

Almost surely, 21139564238120 is an apocalyptic number.

1139564238120 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 1139564238120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2363093740800).

1139564238120 is an abundant number, since it is smaller than the sum of its proper divisors (3586623243480).

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

1139564238120 is a wasteful number, since it uses less digits than its factorization.

1139564238120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3650 (or 3643 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 1139564238120 in words is "one trillion, one hundred thirty-nine billion, five hundred sixty-four million, two hundred thirty-eight thousand, one hundred twenty".