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38225461266 = 23229596120347
BaseRepresentation
bin100011100110011010…
…100100000000010010
310122122222221121222200
4203212122210000102
51111241204230031
625321024144030
72522156026326
oct434632440022
9118588847880
1038225461266
1115236304903
1274a9768016
1337b2538645
141bc8a41986
15edad0c8e6
hex8e66a4012

38225461266 has 96 divisors (see below), whose sum is σ = 88562635200. Its totient is φ = 11895085440.

The previous prime is 38225461247. The next prime is 38225461343. The reversal of 38225461266 is 66216452283.

38225461266 is a `hidden beast` number, since 3 + 8 + 2 + 25 + 4 + 612 + 6 + 6 = 666.

It is a super-2 number, since 2×382254612662 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1868505 + ... + 1888851.

It is an arithmetic number, because the mean of its divisors is an integer number (922527450).

Almost surely, 238225461266 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38225461266, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44281317600).

38225461266 is an abundant number, since it is smaller than the sum of its proper divisors (50337173934).

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

38225461266 is a wasteful number, since it uses less digits than its factorization.

38225461266 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20504 (or 20501 counting only the distinct ones).

The product of its digits is 829440, while the sum is 45.

The spelling of 38225461266 in words is "thirty-eight billion, two hundred twenty-five million, four hundred sixty-one thousand, two hundred sixty-six".

Divisors: 1 2 3 6 9 18 29 58 59 61 87 118 122 174 177 183 261 354 366 522 531 549 1062 1098 1711 1769 3422 3538 3599 5133 5307 7198 10266 10614 10797 15399 15921 20347 21594 30798 31842 32391 40694 61041 64782 104371 122082 183123 208742 313113 366246 590063 626226 939339 1180126 1200473 1241167 1770189 1878678 2400946 2482334 3540378 3601419 3723501 5310567 7202838 7447002 10621134 10804257 11170503 21608514 22341006 34813717 35993843 69627434 71987686 73228853 104441151 107981529 146457706 208882302 215963058 219686559 313323453 323944587 439373118 626646906 647889174 659059677 1318119354 2123636737 4247273474 6370910211 12741820422 19112730633 38225461266