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137450076032 = 271956517301
BaseRepresentation
bin1000000000000010101…
…0011011011110000000
3111010210010120022122202
42000000222123132000
54222444204413112
6143051012052332
712634066240433
oct2000052333600
9433703508582
10137450076032
1153323a91565
122277b9040a8
13cc66502c49
14691cb0381a
153896e336c2
hex2000a9b780

137450076032 has 32 divisors (see below), whose sum is σ = 288238240200. Its totient is φ = 65107929600.

The previous prime is 137450076019. The next prime is 137450076037. The reversal of 137450076032 is 230670054731.

137450076032 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-3 number, since 3×1374500760323 (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137450076037) 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, 28256219 + ... + 28261082.

Almost surely, 2137450076032 is an apocalyptic number.

It is an amenable number.

137450076032 is an abundant number, since it is smaller than the sum of its proper divisors (150788164168).

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

137450076032 is an equidigital number, since it uses as much as digits as its factorization.

137450076032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56517334 (or 56517322 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 38.

The spelling of 137450076032 in words is "one hundred thirty-seven billion, four hundred fifty million, seventy-six thousand, thirty-two".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 304 608 1216 2432 56517301 113034602 226069204 452138408 904276816 1073828719 1808553632 2147657438 3617107264 4295314876 7234214528 8590629752 17181259504 34362519008 68725038016 137450076032