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139927628338848 = 253272319376920333
BaseRepresentation
bin11111110100001101110000…
…100101001101011010100000
3200100102221200000012020020200
4133310031300211031122200
5121320033240323320343
61213333510503105200
741321303034232320
oct3764156045153240
9610387600166220
10139927628338848
1140648a79323039
121383aab3742200
136010170b2026c
14267a767711280
151129c8aaa14d3
hex7f437094d6a0

139927628338848 has 576 divisors, whose sum is σ = 477639686684160. Its totient is φ = 37991611367424.

The previous prime is 139927628338831. The next prime is 139927628338877. The reversal of 139927628338848 is 848833826729931.

139927628338848 is a `hidden beast` number, since 1 + 3 + 9 + 9 + 276 + 2 + 8 + 338 + 8 + 4 + 8 = 666.

It is a nude number because it is divisible by every one of its digits.

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 95 ways as a sum of consecutive naturals, for example, 6881789290 + ... + 6881809622.

It is an arithmetic number, because the mean of its divisors is an integer number (829235567160).

Almost surely, 2139927628338848 is an apocalyptic number.

139927628338848 is a gapful number since it is divisible by the number (18) 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 139927628338848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238819843342080).

139927628338848 is an abundant number, since it is smaller than the sum of its proper divisors (337712058345312).

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

139927628338848 is a wasteful number, since it uses less digits than its factorization.

139927628338848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21341 (or 21330 counting only the distinct ones).

The product of its digits is 6019743744, while the sum is 81.

The spelling of 139927628338848 in words is "one hundred thirty-nine trillion, nine hundred twenty-seven billion, six hundred twenty-eight million, three hundred thirty-eight thousand, eight hundred forty-eight".