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137646971 = 7116312833
BaseRepresentation
bin10000011010001…
…01001101111011
3100121000012010222
420031011031323
5240214200341
621354130255
73260660060
oct1015051573
9317005128
10137646971
1170775230
123a12098b
1322695317
14143d0c67
15c13e44b
hex834537b

137646971 has 16 divisors (see below), whose sum is σ = 171944448. Its totient is φ = 107049600.

The previous prime is 137646967. The next prime is 137646979. The reversal of 137646971 is 179646731.

137646971 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 137646971 - 22 = 137646967 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (137646979) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47171 + ... + 50003.

It is an arithmetic number, because the mean of its divisors is an integer number (10746528).

Almost surely, 2137646971 is an apocalyptic number.

137646971 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

137646971 is a deficient number, since it is larger than the sum of its proper divisors (34297477).

137646971 is a wasteful number, since it uses less digits than its factorization.

137646971 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3482.

The product of its digits is 190512, while the sum is 44.

The square root of 137646971 is about 11732.3045903181. The cubic root of 137646971 is about 516.3238895073.

The spelling of 137646971 in words is "one hundred thirty-seven million, six hundred forty-six thousand, nine hundred seventy-one".

Divisors: 1 7 11 77 631 2833 4417 6941 19831 31163 48587 218141 1787623 12513361 19663853 137646971