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137022064074 = 2337362492233
BaseRepresentation
bin111111110011100100…
…1101100010111001010
3111002200022012001122000
41333213021230113022
54221110122022244
6142540322211430
712620351220240
oct1774711542712
9432608161560
10137022064074
1153124423875
12226804b3b76
13cbc893452c
1468bbd2a790
15386e58a169
hex1fe726c5ca

137022064074 has 32 divisors (see below), whose sum is σ = 347992544640. Its totient is φ = 39149161056.

The previous prime is 137022064057. The next prime is 137022064079. The reversal of 137022064074 is 470460220731.

137022064074 is a `hidden beast` number, since 1 + 3 + 7 + 0 + 2 + 2 + 0 + 640 + 7 + 4 = 666.

It is a super-2 number, since 2×1370220640742 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (137022064079) 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, 181245739 + ... + 181246494.

It is an arithmetic number, because the mean of its divisors is an integer number (10874767020).

Almost surely, 2137022064074 is an apocalyptic number.

137022064074 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

137022064074 is an abundant number, since it is smaller than the sum of its proper divisors (210970480566).

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

137022064074 is a wasteful number, since it uses less digits than its factorization.

137022064074 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362492251 (or 362492245 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The spelling of 137022064074 in words is "one hundred thirty-seven billion, twenty-two million, sixty-four thousand, seventy-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 378 362492233 724984466 1087476699 2174953398 2537445631 3262430097 5074891262 6524860194 7612336893 9787290291 15224673786 19574580582 22837010679 45674021358 68511032037 137022064074