Search a number
-
+
139481852590080 = 21132571113171931151
BaseRepresentation
bin11111101101101110100110…
…010001101011100000000000
3200021212100001010110212221100
4133231232212101223200000
5121240232313230340310
61212353024541454400
741244142223002650
oct3755564621534000
9607770033425840
10139481852590080
1140496a15559110
1213788626271400
135caa10b95c360
142662d59c68360
15111d39a5d2ec0
hex7edba646b800

139481852590080 has 9216 divisors, whose sum is σ = 751698778521600. Its totient is φ = 22932357120000.

The previous prime is 139481852590051. The next prime is 139481852590103. The reversal of 139481852590080 is 80095258184931.

139481852590080 is a `hidden beast` number, since 1 + 3 + 9 + 4 + 8 + 18 + 525 + 90 + 0 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (9216).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 923720878005 + ... + 923720878155.

It is an arithmetic number, because the mean of its divisors is an integer number (81564537600).

Almost surely, 2139481852590080 is an apocalyptic number.

139481852590080 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 139481852590080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375849389260800).

139481852590080 is an abundant number, since it is smaller than the sum of its proper divisors (612216925931520).

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

139481852590080 is a wasteful number, since it uses less digits than its factorization.

139481852590080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 24883200, while the sum is 63.

The spelling of 139481852590080 in words is "one hundred thirty-nine trillion, four hundred eighty-one billion, eight hundred fifty-two million, five hundred ninety thousand, eighty".