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37680314148 = 22326179721529
BaseRepresentation
bin100011000101111010…
…111111011100100100
310121021000011021201200
4203011322333130210
51104132130023043
625150551522500
72502516246201
oct430572773444
9117230137650
1037680314148
1114a866117a4
127377089430
133726606c99
141b76496ca8
15ea80277d3
hex8c5ebf724

37680314148 has 72 divisors (see below), whose sum is σ = 96934863480. Its totient is φ = 12338127360.

The previous prime is 37680314141. The next prime is 37680314171. The reversal of 37680314148 is 84141308673.

It can be written as a sum of positive squares in 4 ways, for example, as 381889764 + 37298424384 = 19542^2 + 193128^2 .

It is not an unprimeable number, because it can be changed into a prime (37680314141) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1739448 + ... + 1760976.

Almost surely, 237680314148 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 37680314148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48467431740).

37680314148 is an abundant number, since it is smaller than the sum of its proper divisors (59254549332).

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

37680314148 is a wasteful number, since it uses less digits than its factorization.

37680314148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22397 (or 22392 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 37680314148 in words is "thirty-seven billion, six hundred eighty million, three hundred fourteen thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 61 122 183 244 366 549 732 797 1098 1594 2196 2391 3188 4782 7173 9564 14346 21529 28692 43058 48617 64587 86116 97234 129174 145851 193761 194468 258348 291702 387522 437553 583404 775044 875106 1313269 1750212 2626538 3939807 5253076 7879614 11819421 15759228 17158613 23638842 34317226 47277684 51475839 68634452 102951678 154427517 205903356 308855034 617710068 1046675393 2093350786 3140026179 4186701572 6280052358 9420078537 12560104716 18840157074 37680314148