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137033582399 = 71371069133669
BaseRepresentation
bin111111110011111010…
…1101000011100111111
3111002201002212020210122
41333213311220130333
54221121044114044
6142541413125155
712620551142330
oct1774765503477
9432632766718
10137033582399
115312a98074a
12226843297bb
13cbcb1381cc
1468bd688287
1538705b2dee
hex1fe7d6873f

137033582399 has 16 divisors (see below), whose sum is σ = 157901697600. Its totient is φ = 116490057984.

The previous prime is 137033582393. The next prime is 137033582437. The reversal of 137033582399 is 993285330731.

It is a cyclic number.

It is not a de Polignac number, because 137033582399 - 224 = 137016805183 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 137033582399.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137033582393) 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, 958337 + ... + 1092005.

It is an arithmetic number, because the mean of its divisors is an integer number (9868856100).

Almost surely, 2137033582399 is an apocalyptic number.

137033582399 is a deficient number, since it is larger than the sum of its proper divisors (20868115201).

137033582399 is a wasteful number, since it uses less digits than its factorization.

137033582399 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134882.

The product of its (nonzero) digits is 3674160, while the sum is 53.

The spelling of 137033582399 in words is "one hundred thirty-seven billion, thirty-three million, five hundred eighty-two thousand, three hundred ninety-nine".

Divisors: 1 7 137 959 1069 7483 133669 146453 935683 1025171 18312653 128188571 142892161 1000245127 19576226057 137033582399