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139664191680 = 2635513236007
BaseRepresentation
bin1000001000010010100…
…0100111000011000000
3111100111102211001100000
42002010220213003000
54242013013113210
6144054424200000
713043003020206
oct2020450470300
9440442731300
10139664191680
115425a882402
1223099309000
131022a137550
146a8cbb7076
1539764dcac0
hex2084a270c0

139664191680 has 672 divisors, whose sum is σ = 559919453184. Its totient is φ = 32878669824.

The previous prime is 139664191673. The next prime is 139664191687. The reversal of 139664191680 is 86191466931.

It is a happy number.

139664191680 is a `hidden beast` number, since 1 + 3 + 9 + 66 + 419 + 168 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (139664191673) and next prime (139664191687).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (139664191687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23247237 + ... + 23253243.

It is an arithmetic number, because the mean of its divisors is an integer number (833213472).

Almost surely, 2139664191680 is an apocalyptic number.

139664191680 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 139664191680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279959726592).

139664191680 is an abundant number, since it is smaller than the sum of its proper divisors (420255261504).

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

139664191680 is a wasteful number, since it uses less digits than its factorization.

139664191680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6075 (or 6053 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The spelling of 139664191680 in words is "one hundred thirty-nine billion, six hundred sixty-four million, one hundred ninety-one thousand, six hundred eighty".