Search a number
-
+
38714654232464 = 247319371285237
BaseRepresentation
bin10001100110101111101010…
…01101101000111110010000
312002002002021211002200212212
420303113311031220332100
520033300102440414324
6214201133331411252
711104020136223000
oct1063276515507620
9162062254080785
1038714654232464
111137687a030701
1244131ab453b28
13187aa124b57c2
1497bb2926a000
154720cc5ab70e
hex2335f5368f90

38714654232464 has 80 divisors (see below), whose sum is σ = 92078739024000. Its totient is φ = 15718731751296.

The previous prime is 38714654232377. The next prime is 38714654232469. The reversal of 38714654232464 is 46423245641783.

It is a happy number.

It is a super-2 number, since 2×387146542324642 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (38714654232469) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 185538347 + ... + 185746890.

It is an arithmetic number, because the mean of its divisors is an integer number (1150984237800).

Almost surely, 238714654232464 is an apocalyptic number.

It is an amenable number.

38714654232464 is an abundant number, since it is smaller than the sum of its proper divisors (53364084791536).

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

38714654232464 is a wasteful number, since it uses less digits than its factorization.

38714654232464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371285285 (or 371285265 counting only the distinct ones).

The product of its digits is 92897280, while the sum is 59.

The spelling of 38714654232464 in words is "thirty-eight trillion, seven hundred fourteen billion, six hundred fifty-four million, two hundred thirty-two thousand, four hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 19 28 38 49 56 76 98 112 133 152 196 266 304 343 392 532 686 784 931 1064 1372 1862 2128 2744 3724 5488 6517 7448 13034 14896 26068 52136 104272 371285237 742570474 1485140948 2598996659 2970281896 5197993318 5940563792 7054419503 10395986636 14108839006 18192976613 20791973272 28217678012 36385953226 41583946544 49380936521 56435356024 72771906452 98761873042 112870712048 127350836291 145543812904 197523746084 254701672582 291087625808 345666555647 395047492168 509403345164 691333111294 790094984336 1018806690328 1382666222588 2037613380656 2419665889529 2765332445176 4839331779058 5530664890352 9678663558116 19357327116232 38714654232464