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67064157 = 3223331981
BaseRepresentation
bin1111111111010…
…1000101011101
311200012012201200
43333311011131
5114132023112
610353230113
71443015216
oct377650535
9150165650
1067064157
1134946326
121a562339
1310b81444
148c9a40d
155d4acdc
hex3ff515d

67064157 has 12 divisors (see below), whose sum is σ = 97289244. Its totient is φ = 44516160.

The previous prime is 67064147. The next prime is 67064171. The reversal of 67064157 is 75146076.

67064157 is a `hidden beast` number, since 6 + 7 + 0 + 641 + 5 + 7 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8173881 + 58890276 = 2859^2 + 7674^2 .

It is not a de Polignac number, because 67064157 - 24 = 67064141 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67064147) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13894 + ... + 18087.

It is an arithmetic number, because the mean of its divisors is an integer number (8107437).

Almost surely, 267064157 is an apocalyptic number.

It is an amenable number.

67064157 is a deficient number, since it is larger than the sum of its proper divisors (30225087).

67064157 is a wasteful number, since it uses less digits than its factorization.

67064157 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32220 (or 32217 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 67064157 is about 8189.2708466627. The cubic root of 67064157 is about 406.2844088567.

The spelling of 67064157 in words is "sixty-seven million, sixty-four thousand, one hundred fifty-seven".

Divisors: 1 3 9 233 699 2097 31981 95943 287829 7451573 22354719 67064157