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38246060356 = 22726122292
BaseRepresentation
bin100011100111101001…
…001001000101000100
310122201102201011121221
4203213221021011010
51111311442412411
625323041450124
72522526102100
oct434751110504
9118642634557
1038246060356
11152469a4249
1274b4640944
1337b689b65a
141bcb684900
15edca2b071
hex8e7a49144

38246060356 has 81 divisors (see below), whose sum is σ = 79502502807. Its totient is φ = 16052057280.

The previous prime is 38246060351. The next prime is 38246060357. The reversal of 38246060356 is 65306064283.

The square root of 38246060356 is 195566.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 267845956 + 37978214400 = 16366^2 + 194880^2 .

It is a super-2 number, since 2×382460603562 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (38246060351) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 167013250 + ... + 167013478.

Almost surely, 238246060356 is an apocalyptic number.

38246060356 is the 195566-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38246060356

38246060356 is an abundant number, since it is smaller than the sum of its proper divisors (41256442451).

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

38246060356 is an equidigital number, since it uses as much as digits as its factorization.

38246060356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 598 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 43.

The spelling of 38246060356 in words is "thirty-eight billion, two hundred forty-six million, sixty thousand, three hundred fifty-six".

Divisors: 1 2 4 7 14 28 49 61 98 122 196 229 244 427 458 854 916 1603 1708 2989 3206 3721 5978 6412 7442 11221 11956 13969 14884 22442 26047 27938 44884 52094 52441 55876 97783 104188 104882 182329 195566 209764 364658 367087 391132 684481 729316 734174 852109 1368962 1468348 1704218 2569609 2737924 3198901 3408436 5139218 5964763 6397802 10278436 11929526 12795604 22392307 23859052 41753341 44784614 83506682 89569228 156746149 167013364 195132961 313492298 390265922 626984596 780531844 1365930727 2731861454 5463722908 9561515089 19123030178 38246060356