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137011985027 = 1797571145513
BaseRepresentation
bin111111110011010001…
…1001111101010000011
3111002122121012222202222
41333212203033222003
54221100032010102
6142535322201255
712620166441251
oct1774643175203
9432577188688
10137011985027
115311976a285
122267905322b
13cbc68159b8
1468ba8655d1
15386d748aa2
hex1fe68cfa83

137011985027 has 16 divisors (see below), whose sum is σ = 146824790112. Its totient is φ = 127398666240.

The previous prime is 137011984997. The next prime is 137011985081. The reversal of 137011985027 is 720589110731.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-137011985027 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (137011985927) 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, 868823 + ... + 1014335.

It is an arithmetic number, because the mean of its divisors is an integer number (9176549382).

Almost surely, 2137011985027 is an apocalyptic number.

137011985027 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

137011985027 is a deficient number, since it is larger than the sum of its proper divisors (9812805085).

137011985027 is a wasteful number, since it uses less digits than its factorization.

137011985027 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146198.

The product of its (nonzero) digits is 105840, while the sum is 44.

The spelling of 137011985027 in words is "one hundred thirty-seven billion, eleven million, nine hundred eighty-five thousand, twenty-seven".

Divisors: 1 17 97 571 1649 9707 55387 145513 941579 2473721 14114761 83087923 239950937 1412494691 8059528531 137011985027