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266557630456 = 231310726391079
BaseRepresentation
bin1111100001000000010…
…0101010011111111000
3221111000212012122002201
43320100010222133320
513331402223133311
6322242131035544
725154355321565
oct3702004523770
9844025178081
10266557630456
11a3056919067
12437b173bbb4
131c1a0527770
14cc8985b86c
156e0175d9c1
hex3e1012a7f8

266557630456 has 64 divisors (see below), whose sum is σ = 545343321600. Its totient is φ = 121412074368.

The previous prime is 266557630447. The next prime is 266557630457. The reversal of 266557630456 is 654036755662.

It is a Smith number, since the sum of its digits (55) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 266557630397 and 266557630406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (266557630457) 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, 2881125 + ... + 2972203.

It is an arithmetic number, because the mean of its divisors is an integer number (8520989400).

Almost surely, 2266557630456 is an apocalyptic number.

266557630456 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 266557630456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272671660800).

266557630456 is an abundant number, since it is smaller than the sum of its proper divisors (278785691144).

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

266557630456 is a wasteful number, since it uses less digits than its factorization.

266557630456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91468 (or 91464 counting only the distinct ones).

The product of its (nonzero) digits is 27216000, while the sum is 55.

The spelling of 266557630456 in words is "two hundred sixty-six billion, five hundred fifty-seven million, six hundred thirty thousand, four hundred fifty-six".

Divisors: 1 2 4 8 13 26 52 104 107 214 263 428 526 856 1052 1391 2104 2782 3419 5564 6838 11128 13676 27352 28141 56282 91079 112564 182158 225128 364316 365833 728632 731666 1184027 1463332 2368054 2926664 4736108 9472216 9745453 19490906 23953777 38981812 47907554 77963624 95815108 126690889 191630216 253381778 311399101 506763556 622798202 1013527112 1245596404 2491192808 2563054139 5126108278 10252216556 20504433112 33319703807 66639407614 133278815228 266557630456