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139849045632 = 27323726912197
BaseRepresentation
bin1000001000111110100…
…1110001011010000000
3111100222022122121021200
42002033221301122000
54242402323430012
6144125030221200
713050406163052
oct2021751613200
9440868577250
10139849045632
115434515a96a
122312b1b4800
131025951a89a
146aa95758d2
1539878543dc
hex208fa71680

139849045632 has 192 divisors, whose sum is σ = 414877156200. Its totient is φ = 45184131072.

The previous prime is 139849045631. The next prime is 139849045643. The reversal of 139849045632 is 236540948931.

139849045632 is a `hidden beast` number, since 1 + 3 + 98 + 490 + 4 + 5 + 63 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 126013640256 + 13835405376 = 354984^2 + 117624^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (139849045631) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11459758 + ... + 11471954.

Almost surely, 2139849045632 is an apocalyptic number.

139849045632 is a gapful number since it is divisible by the number (12) 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 139849045632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207438578100).

139849045632 is an abundant number, since it is smaller than the sum of its proper divisors (275028110568).

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

139849045632 is a wasteful number, since it uses less digits than its factorization.

139849045632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12523 (or 12508 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 139849045632 in words is "one hundred thirty-nine billion, eight hundred forty-nine million, forty-five thousand, six hundred thirty-two".