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120136678525 = 5273160141117
BaseRepresentation
bin110111111100010110…
…1000011110001111101
3102111002112100121012001
41233320231003301331
53432014442203100
6131105013542301
711452045630033
oct1577055036175
9374075317161
10120136678525
1146a4a028786
121b349644991
13b437600936
145b59564553
1531d1ea2d6a
hex1bf8b43c7d

120136678525 has 24 divisors (see below), whose sum is σ = 151108156584. Its totient is φ = 94731264000.

The previous prime is 120136678483. The next prime is 120136678549. The reversal of 120136678525 is 525876631021.

It can be written as a sum of positive squares in 12 ways, for example, as 151339204 + 119985339321 = 12302^2 + 346389^2 .

It is not a de Polignac number, because 120136678525 - 27 = 120136678397 is a prime.

It is a Duffinian number.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 2901267 + ... + 2942383.

It is an arithmetic number, because the mean of its divisors is an integer number (6296173191).

Almost surely, 2120136678525 is an apocalyptic number.

It is an amenable number.

120136678525 is a deficient number, since it is larger than the sum of its proper divisors (30971478059).

120136678525 is a wasteful number, since it uses less digits than its factorization.

120136678525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42801 (or 42796 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 46.

The spelling of 120136678525 in words is "one hundred twenty billion, one hundred thirty-six million, six hundred seventy-eight thousand, five hundred twenty-five".

Divisors: 1 5 25 73 365 1601 1825 8005 40025 41117 116873 205585 584365 1027925 2921825 3001541 15007705 65828317 75038525 329141585 1645707925 4805467141 24027335705 120136678525