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137967963 = 3711815563
BaseRepresentation
bin10000011100100…
…11100101011011
3100121121111110120
420032103211123
5240304433323
621405044323
73263464650
oct1016234533
9317544416
10137967963
1170974411
123a2566a3
1322778463
1414475c27
15c1a45e3
hex839395b

137967963 has 16 divisors (see below), whose sum is σ = 210452736. Its totient is φ = 78757920.

The previous prime is 137967953. The next prime is 137967967. The reversal of 137967963 is 369769731.

137967963 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 137967963 - 221 = 135870811 is a prime.

It is not an unprimeable number, because it can be changed into a prime (137967967) 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, 22020 + ... + 27582.

It is an arithmetic number, because the mean of its divisors is an integer number (13153296).

Almost surely, 2137967963 is an apocalyptic number.

137967963 is a deficient number, since it is larger than the sum of its proper divisors (72484773).

137967963 is a wasteful number, since it uses less digits than its factorization.

137967963 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6754.

The product of its digits is 1285956, while the sum is 51.

The square root of 137967963 is about 11745.9764600479. The cubic root of 137967963 is about 516.7249327745.

The spelling of 137967963 in words is "one hundred thirty-seven million, nine hundred sixty-seven thousand, nine hundred sixty-three".

Divisors: 1 3 7 21 1181 3543 5563 8267 16689 24801 38941 116823 6569903 19709709 45989321 137967963