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137806707252 = 22317476573493
BaseRepresentation
bin1000000001010111101…
…0110111101000110100
3111011200222122001201110
42000111322313220310
54224212004113002
6143150231555020
712645656453544
oct2002572675064
9434628561643
10137806707252
1153497325905
122285b22ba70
13ccc236b536
146954219324
1538b83cbe6c
hex2015eb7a34

137806707252 has 24 divisors (see below), whose sum is σ = 321733090336. Its totient is φ = 45909268128.

The previous prime is 137806707251. The next prime is 137806707257. The reversal of 137806707252 is 252707608731.

It is a super-3 number, since 3×1378067072523 (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137806707251) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3265783 + ... + 3307710.

Almost surely, 2137806707252 is an apocalyptic number.

137806707252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

137806707252 is an abundant number, since it is smaller than the sum of its proper divisors (183926383084).

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

137806707252 is a wasteful number, since it uses less digits than its factorization.

137806707252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6575247 (or 6575245 counting only the distinct ones).

The product of its (nonzero) digits is 987840, while the sum is 48.

The spelling of 137806707252 in words is "one hundred thirty-seven billion, eight hundred six million, seven hundred seven thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 12 1747 3494 5241 6988 10482 20964 6573493 13146986 19720479 26293972 39440958 78881916 11483892271 22967784542 34451676813 45935569084 68903353626 137806707252