Search a number
-
+
268527028448 = 2573138670367
BaseRepresentation
bin1111101000010101110…
…1010100100011100000
3221200010002222102021002
43322011131110203200
513344420404402243
6323205402051132
725254231036650
oct3720535244340
9850102872232
10268527028448
11a3977563a08
12440611a9aa8
131c425548b13
14cdd522c360
156eb95c8eb8
hex3e857548e0

268527028448 has 48 divisors (see below), whose sum is σ = 623675695104. Its totient is φ = 111370654080.

The previous prime is 268527028421. The next prime is 268527028459. The reversal of 268527028448 is 844820725862.

It is a super-2 number, since 2×2685270284482 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a junction number, because it is equal to n+sod(n) for n = 268527028393 and 268527028402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19328240 + ... + 19342127.

It is an arithmetic number, because the mean of its divisors is an integer number (12993243648).

Almost surely, 2268527028448 is an apocalyptic number.

268527028448 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

268527028448 is an abundant number, since it is smaller than the sum of its proper divisors (355148666656).

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

268527028448 is a wasteful number, since it uses less digits than its factorization.

268527028448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38670415 (or 38670407 counting only the distinct ones).

The product of its (nonzero) digits is 13762560, while the sum is 56.

The spelling of 268527028448 in words is "two hundred sixty-eight billion, five hundred twenty-seven million, twenty-eight thousand, four hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 112 124 217 224 248 434 496 868 992 1736 3472 6944 38670367 77340734 154681468 270692569 309362936 541385138 618725872 1082770276 1198781377 1237451744 2165540552 2397562754 4331081104 4795125508 8391469639 8662162208 9590251016 16782939278 19180502032 33565878556 38361004064 67131757112 134263514224 268527028448