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139581364713504 = 25376124231405319
BaseRepresentation
bin11111101111001011010001…
…101010010011100000100000
3200022012211220022002112100020
4133233023101222103200200
5121243400113331313004
61212510443235553440
741254264224046530
oct3757132152234040
9608184808075306
10139581364713504
114052514055832a
12137a397875b880
135cb660a36cc1c
142667aba1ab4c0
151120c71a9b8d9
hex7ef2d1a93820

139581364713504 has 192 divisors, whose sum is σ = 425784708034560. Its totient is φ = 39210395857920.

The previous prime is 139581364713499. The next prime is 139581364713521. The reversal of 139581364713504 is 405317463185931.

It is a super-3 number, since 3×1395813647135043 (a number of 43 digits) contains 333 as substring.

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 31 ways as a sum of consecutive naturals, for example, 98620957 + ... + 100026275.

It is an arithmetic number, because the mean of its divisors is an integer number (2217628687680).

Almost surely, 2139581364713504 is an apocalyptic number.

139581364713504 is a gapful number since it is divisible by the number (14) 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 139581364713504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212892354017280).

139581364713504 is an abundant number, since it is smaller than the sum of its proper divisors (286203343321056).

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

139581364713504 is a wasteful number, since it uses less digits than its factorization.

139581364713504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1407823 (or 1407815 counting only the distinct ones).

The product of its (nonzero) digits is 32659200, while the sum is 60.

The spelling of 139581364713504 in words is "one hundred thirty-nine trillion, five hundred eighty-one billion, three hundred sixty-four million, seven hundred thirteen thousand, five hundred four".