Search a number
-
+
48665633656684 = 221123472062749603
BaseRepresentation
bin10110001000010110110011…
…10011101000111101101100
320101022101111200110200112111
423010023121303220331230
522334314204204003214
6251300403343413404
713151655524560612
oct1304133163507554
9211271450420474
1048665633656684
1114562a85541580
12555b8862b4264
1321201c3785c65
14c03601b7b6b2
15595d88b245c4
hex2c42d9ce8f6c

48665633656684 has 96 divisors (see below), whose sum is σ = 99016047599616. Its totient is φ = 20707358844480.

The previous prime is 48665633656667. The next prime is 48665633656741.

48665633656684 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 48665633656684.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 981077827 + ... + 981127429.

It is an arithmetic number, because the mean of its divisors is an integer number (1031417162496).

Almost surely, 248665633656684 is an apocalyptic number.

48665633656684 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

48665633656684 is an abundant number, since it is smaller than the sum of its proper divisors (50350413942932).

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

48665633656684 is a wasteful number, since it uses less digits than its factorization.

48665633656684 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70315 (or 70313 counting only the distinct ones).

The product of its digits is 10749542400, while the sum is 76.

The spelling of 48665633656684 in words is "forty-eight trillion, six hundred sixty-five billion, six hundred thirty-three million, six hundred fifty-six thousand, six hundred eighty-four".

Divisors: 1 2 4 11 22 23 44 46 47 92 94 188 253 506 517 1012 1034 1081 2068 2162 4324 11891 20627 23782 41254 47564 49603 82508 99206 198412 226897 453794 474421 545633 907588 948842 969469 1091266 1140869 1897684 1938938 2182532 2281738 2331341 3877876 4563476 4662682 5218631 9325364 10437262 10664159 12549559 20874524 21328318 22297787 25099118 25644751 42656636 44595574 50198236 51289502 53620843 89191148 102579004 107241686 214483372 245275657 490551314 589829273 981102628 1023161081 1179658546 2046322162 2359317092 4092644324 11254771891 22509543782 23532704863 45019087564 47065409726 48088570807 94130819452 96177141614 192354283228 258859753493 517719506986 528974278877 1035439013972 1057948557754 1106037128561 2115897115508 2212074257122 4424148514244 12166408414171 24332816828342 48665633656684