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139467025539072 = 21335731131599
BaseRepresentation
bin11111101101100000110010…
…100000111110000000000000
3200021210220202210202122200000
4133231200302200332000000
5121240011432014222242
61212342133402400000
741243105623104000
oct3755406240760000
9607726683678600
10139467025539072
11404906a7023250
1213785788800000
135ca88b7bb89aa
1426623509c4000
15111cccda82a4c
hex7ed83283e000

139467025539072 has 2688 divisors, whose sum is σ = 549588049920000. Its totient is φ = 34998121267200.

The previous prime is 139467025539031. The next prime is 139467025539089. The reversal of 139467025539072 is 270935520764931.

139467025539072 is a `hidden beast` number, since 1 + 3 + 9 + 4 + 6 + 7 + 0 + 2 + 553 + 9 + 0 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (2688).

It is a super-2 number, since 2×1394670255390722 (a number of 29 digits) contains 22 as substring.

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 (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 232833097429 + ... + 232833098027.

It is an arithmetic number, because the mean of its divisors is an integer number (204459840000).

Almost surely, 2139467025539072 is an apocalyptic number.

139467025539072 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 139467025539072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274794024960000).

139467025539072 is an abundant number, since it is smaller than the sum of its proper divisors (410121024380928).

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

139467025539072 is an frugal number, since it uses more digits than its factorization.

139467025539072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 703 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 85730400, while the sum is 63.

The spelling of 139467025539072 in words is "one hundred thirty-nine trillion, four hundred sixty-seven billion, twenty-five million, five hundred thirty-nine thousand, seventy-two".