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137947906495 = 57172339725391
BaseRepresentation
bin1000000001111001010…
…1100000000110111111
3111012001211022201200001
42000132111200012333
54230004131001440
6143212234215131
712652322600260
oct2003625400677
9435054281601
10137947906495
1153559aa69a3
122289a5844a7
13100156a8699
146968c92967
1538c59bdb9a
hex201e5601bf

137947906495 has 64 divisors (see below), whose sum is σ = 209558347776. Its totient is φ = 84939909120.

The previous prime is 137947906493. The next prime is 137947906501. The reversal of 137947906495 is 594609749731.

It is not a de Polignac number, because 137947906495 - 21 = 137947906493 is a prime.

It is a Smith number, since the sum of its digits (64) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137947906493) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5420250 + ... + 5445640.

It is an arithmetic number, because the mean of its divisors is an integer number (3274349184).

Almost surely, 2137947906495 is an apocalyptic number.

137947906495 is a deficient number, since it is larger than the sum of its proper divisors (71610441281).

137947906495 is a wasteful number, since it uses less digits than its factorization.

137947906495 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25840.

The product of its (nonzero) digits is 51438240, while the sum is 64.

The spelling of 137947906495 in words is "one hundred thirty-seven billion, nine hundred forty-seven million, nine hundred six thousand, four hundred ninety-five".

Divisors: 1 5 7 17 23 35 85 115 119 161 391 397 595 805 1955 1985 2737 2779 6749 9131 13685 13895 25391 33745 45655 47243 63917 126955 155227 177737 236215 319585 431647 583993 776135 888685 1086589 2158235 2919965 3021529 4087951 5432945 9927881 10080227 15107645 20439755 49639405 50401135 69495167 70561589 171363859 231845221 347475835 352807945 856819295 1159226105 1199547013 1622916547 3941368757 5997735065 8114582735 19706843785 27589581299 137947906495