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139933265472 = 26337311132127
BaseRepresentation
bin1000001001010010101…
…1000010111001000000
3111101012012010102012000
42002110223002321000
54243040403443342
6144141235304000
713052451063000
oct2022453027100
9441165112160
10139933265472
1154388753540
122315344b000
1310270ac7900
146ab681a000
15398ee3d44c
hex2094ac2e40

139933265472 has 1344 divisors, whose sum is σ = 571170816000. Its totient is φ = 33286256640.

The previous prime is 139933265453. The next prime is 139933265491. The reversal of 139933265472 is 274562339931.

139933265472 is a `hidden beast` number, since 1 + 3 + 9 + 93 + 3 + 2 + 6 + 547 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (139933265453) and next prime (139933265491).

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1101836673 + ... + 1101836799.

Almost surely, 2139933265472 is an apocalyptic number.

139933265472 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 139933265472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285585408000).

139933265472 is an abundant number, since it is smaller than the sum of its proper divisors (431237550528).

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

139933265472 is a wasteful number, since it uses less digits than its factorization.

139933265472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 163 counting only the distinct ones).

The product of its digits is 7348320, while the sum is 54.

The spelling of 139933265472 in words is "one hundred thirty-nine billion, nine hundred thirty-three million, two hundred sixty-five thousand, four hundred seventy-two".