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38969918464 = 2103121992
BaseRepresentation
bin100100010010110010…
…011100010000000000
310201120212202222021111
4210102302130100000
51114302244342324
625522540333104
72546465561431
oct442262342000
9121525688244
1038969918464
1115588559594
127676b44194
1338a0842269
141c5986d488
151031362794
hex912c9c400

38969918464 has 99 divisors (see below), whose sum is σ = 80902338471. Its totient is φ = 18761656320.

The previous prime is 38969918459. The next prime is 38969918501. The reversal of 38969918464 is 46481996983.

The square root of 38969918464 is 197408.

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

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 38969918464.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 195828637 + ... + 195828835.

Almost surely, 238969918464 is an apocalyptic number.

38969918464 is the 197408-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38969918464

38969918464 is an abundant number, since it is smaller than the sum of its proper divisors (41932420007).

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

38969918464 is an frugal number, since it uses more digits than its factorization.

38969918464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 232 counting only the distinct ones).

The product of its digits is 80621568, while the sum is 67.

The spelling of 38969918464 in words is "thirty-eight billion, nine hundred sixty-nine million, nine hundred eighteen thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 31 32 62 64 124 128 199 248 256 398 496 512 796 961 992 1024 1592 1922 1984 3184 3844 3968 6169 6368 7688 7936 12338 12736 15376 15872 24676 25472 30752 31744 39601 49352 50944 61504 79202 98704 101888 123008 158404 191239 197408 203776 246016 316808 382478 394816 492032 633616 764956 789632 984064 1227631 1267232 1529912 1579264 2455262 2534464 3059824 3158528 4910524 5068928 6119648 6317056 9821048 10137856 12239296 19642096 20275712 24478592 38056561 39284192 40551424 48957184 76113122 78568384 97914368 152226244 157136768 195828736 304452488 314273536 608904976 628547072 1217809952 1257094144 2435619904 4871239808 9742479616 19484959232 38969918464