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139756413064752 = 2432112334725494337
BaseRepresentation
bin11111110001101110010011…
…010110110001011000110000
3200022211120201201110010110200
4133301232103112301120300
5121304232113221033002
61213123113153355200
741303032125352101
oct3761562326613060
9608746651403420
10139756413064752
11405923a8807510
121381188bb68b00
135cc9c861846a3
1426723644d03a8
1511255b96eeb1c
hex7f1b935b1630

139756413064752 has 480 divisors, whose sum is σ = 446793149836800. Its totient is φ = 40367208161280.

The previous prime is 139756413064711. The next prime is 139756413064757. The reversal of 139756413064752 is 257460314657931.

139756413064752 is a `hidden beast` number, since 1 + 3 + 9 + 7 + 564 + 1 + 3 + 0 + 64 + 7 + 5 + 2 = 666.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 139756413064752.

It is not an unprimeable number, because it can be changed into a prime (139756413064757) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 32224211128 + ... + 32224215464.

It is an arithmetic number, because the mean of its divisors is an integer number (930819062160).

Almost surely, 2139756413064752 is an apocalyptic number.

139756413064752 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 139756413064752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223396574918400).

139756413064752 is an abundant number, since it is smaller than the sum of its proper divisors (307036736772048).

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

139756413064752 is a wasteful number, since it uses less digits than its factorization.

139756413064752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7281 (or 7272 counting only the distinct ones).

The product of its (nonzero) digits is 114307200, while the sum is 63.

The spelling of 139756413064752 in words is "one hundred thirty-nine trillion, seven hundred fifty-six billion, four hundred thirteen million, sixty-four thousand, seven hundred fifty-two".