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137313706096 = 2471226015233
BaseRepresentation
bin111111111100010001…
…0001110000001110000
3111010102121222000021101
41333320202032001300
54222204302043341
6143025301134144
712630522146440
oct1777042160160
9433377860241
10137313706096
1153264009836
12227420ba354
13cc44196c88
146908966120
153889e97831
hex1ff888e070

137313706096 has 20 divisors (see below), whose sum is σ = 304051778032. Its totient is φ = 58848731136.

The previous prime is 137313706091. The next prime is 137313706111. The reversal of 137313706096 is 690607313731.

It is a happy number.

It is a super-2 number, since 2×1373137060962 (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 (137313706091) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 613007505 + ... + 613007728.

Almost surely, 2137313706096 is an apocalyptic number.

137313706096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

137313706096 is an abundant number, since it is smaller than the sum of its proper divisors (166738071936).

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

137313706096 is a wasteful number, since it uses less digits than its factorization.

137313706096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1226015248 (or 1226015242 counting only the distinct ones).

The product of its (nonzero) digits is 428652, while the sum is 46.

The spelling of 137313706096 in words is "one hundred thirty-seven billion, three hundred thirteen million, seven hundred six thousand, ninety-six".

Divisors: 1 2 4 7 8 14 16 28 56 112 1226015233 2452030466 4904060932 8582106631 9808121864 17164213262 19616243728 34328426524 68656853048 137313706096