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137347092500 = 2254233235789
BaseRepresentation
bin111111111101010000…
…1100101000000010100
3111010111221210012210212
41333322201211000110
54222241323430000
6143032452504552
712631406011052
oct1777241450024
9433457705725
10137347092500
1153280942502
122275131b158
13cc4b086447
14690d1771d2
15388cd8ec35
hex1ffa865014

137347092500 has 60 divisors (see below), whose sum is σ = 301640959620. Its totient is φ = 54702816000.

The previous prime is 137347092469. The next prime is 137347092523. The reversal of 137347092500 is 5290743731.

It can be written as a sum of positive squares in 10 ways, for example, as 89387844484 + 47959248016 = 298978^2 + 218996^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 464606 + ... + 700394.

It is an arithmetic number, because the mean of its divisors is an integer number (5027349327).

Almost surely, 2137347092500 is an apocalyptic number.

137347092500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137347092500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150820479810).

137347092500 is an abundant number, since it is smaller than the sum of its proper divisors (164293867120).

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

137347092500 is a wasteful number, since it uses less digits than its factorization.

137347092500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236046 (or 236029 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 41.

The spelling of 137347092500 in words is "one hundred thirty-seven billion, three hundred forty-seven million, ninety-two thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 233 250 466 500 625 932 1165 1250 2330 2500 4660 5825 11650 23300 29125 58250 116500 145625 235789 291250 471578 582500 943156 1178945 2357890 4715780 5894725 11789450 23578900 29473625 54938837 58947250 109877674 117894500 147368125 219755348 274694185 294736250 549388370 589472500 1098776740 1373470925 2746941850 5493883700 6867354625 13734709250 27469418500 34336773125 68673546250 137347092500