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67137425 = 5237181401
BaseRepresentation
bin1000000000001…
…10111110010001
311200022221020022
410000012332101
5114141344200
610354553225
71443441635
oct400067621
9150287208
1067137425
1134996383
121a598815
1310ba88b4
148cb8dc5
155d62885
hex4006f91

67137425 has 24 divisors (see below), whose sum is σ = 86187192. Its totient is φ = 51840000.

The previous prime is 67137409. The next prime is 67137449. The reversal of 67137425 is 52473176.

It can be written as a sum of positive squares in 12 ways, for example, as 6031936 + 61105489 = 2456^2 + 7817^2 .

It is not a de Polignac number, because 67137425 - 24 = 67137409 is a prime.

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is a Leyland number of the form 134 + 413.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 167225 + ... + 167625.

It is an arithmetic number, because the mean of its divisors is an integer number (3591133).

Almost surely, 267137425 is an apocalyptic number.

It is an amenable number.

67137425 is a deficient number, since it is larger than the sum of its proper divisors (19049767).

67137425 is a wasteful number, since it uses less digits than its factorization.

67137425 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 629 (or 624 counting only the distinct ones).

The product of its digits is 35280, while the sum is 35.

The square root of 67137425 is about 8193.7430396614. The cubic root of 67137425 is about 406.4323110722.

The spelling of 67137425 in words is "sixty-seven million, one hundred thirty-seven thousand, four hundred twenty-five".

Divisors: 1 5 25 37 181 185 401 905 925 2005 4525 6697 10025 14837 33485 72581 74185 167425 362905 370925 1814525 2685497 13427485 67137425