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139089000960 = 2938572132
BaseRepresentation
bin1000000110001001011…
…0011011101000000000
3111022000100111100000000
42001202112123220000
54234323241012320
6143521400000000
713022520000300
oct2014226335000
9438010440000
10139089000960
1153a9512a078
1222b58760000
1310167c17100
146a3664b600
153940c70c90
hex206259ba00

139089000960 has 1620 divisors, whose sum is σ = 630074728998. Its totient is φ = 29346250752.

The previous prime is 139089000913. The next prime is 139089001063. The reversal of 139089000960 is 69000980931.

It can be written as a sum of positive squares in 3 ways, for example, as 59997563136 + 79091437824 = 244944^2 + 281232^2 .

It is a tau number, because it is divible by the number of its divisors (1620).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 161 ways as a sum of consecutive naturals, for example, 10699153914 + ... + 10699153926.

Almost surely, 2139089000960 is an apocalyptic number.

139089000960 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 139089000960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315037364499).

139089000960 is an abundant number, since it is smaller than the sum of its proper divisors (490985728038).

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

139089000960 is an frugal number, since it uses more digits than its factorization.

139089000960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 45.

The spelling of 139089000960 in words is "one hundred thirty-nine billion, eighty-nine million, nine hundred sixty", and thus it is an aban number.