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137330445336 = 23376113400707
BaseRepresentation
bin111111111100110001…
…0000100110000011000
3111010110210110110012020
41333321202010300120
54222223043222321
6143031100014440
712631114345050
oct1777142046030
9433423413166
10137330445336
1153272502217
1222747831420
13cc477a8156
14690ac82560
15388b6a24c6
hex1ff9884c18

137330445336 has 64 divisors (see below), whose sum is σ = 398805070080. Its totient is φ = 38594033280.

The previous prime is 137330445331. The next prime is 137330445361. The reversal of 137330445336 is 633544033731.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137330445331) 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, 6690106 + ... + 6710601.

It is an arithmetic number, because the mean of its divisors is an integer number (6231329220).

Almost surely, 2137330445336 is an apocalyptic number.

It is an amenable number.

137330445336 is an abundant number, since it is smaller than the sum of its proper divisors (261474624744).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

137330445336 is a wasteful number, since it uses less digits than its factorization.

137330445336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13400784 (or 13400780 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 42.

The spelling of 137330445336 in words is "one hundred thirty-seven billion, three hundred thirty million, four hundred forty-five thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 61 84 122 168 183 244 366 427 488 732 854 1281 1464 1708 2562 3416 5124 10248 13400707 26801414 40202121 53602828 80404242 93804949 107205656 160808484 187609898 281414847 321616968 375219796 562829694 750439592 817443127 1125659388 1634886254 2251318776 2452329381 3269772508 4904658762 5722101889 6539545016 9809317524 11444203778 17166305667 19618635048 22888407556 34332611334 45776815112 68665222668 137330445336