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137744734077 = 3215304970453
BaseRepresentation
bin1000000001001000111…
…0011101011101111101
3111011112200000111111200
42000102032131131331
54224100122442302
6143140135410113
712644304630666
oct2002216353575
9434480014450
10137744734077
1153465347505
1222842523939
13ccb2580412
146949cc636d
1538b2c3981c
hex201239d77d

137744734077 has 6 divisors (see below), whose sum is σ = 198964615902. Its totient is φ = 91829822712.

The previous prime is 137744734073. The next prime is 137744734079. The reversal of 137744734077 is 770437447731.

137744734077 is a `hidden beast` number, since 1 + 37 + 74 + 473 + 4 + 0 + 77 = 666.

137744734077 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 137710756836 + 33977241 = 371094^2 + 5829^2 .

It is not a de Polignac number, because 137744734077 - 22 = 137744734073 is a prime.

It is a super-2 number, since 2×1377447340772 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137744734073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7652485218 + ... + 7652485235.

It is an arithmetic number, because the mean of its divisors is an integer number (33160769317).

Almost surely, 2137744734077 is an apocalyptic number.

It is an amenable number.

137744734077 is a deficient number, since it is larger than the sum of its proper divisors (61219881825).

137744734077 is a wasteful number, since it uses less digits than its factorization.

137744734077 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15304970459 (or 15304970456 counting only the distinct ones).

The product of its (nonzero) digits is 9680832, while the sum is 54.

The spelling of 137744734077 in words is "one hundred thirty-seven billion, seven hundred forty-four million, seven hundred thirty-four thousand, seventy-seven".

Divisors: 1 3 9 15304970453 45914911359 137744734077