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26376000772 = 221129412272221
BaseRepresentation
bin11000100100001000…
…011101010100000100
32112002012002200000111
4120210020131110010
5413004224011042
620041133122404
71622423210302
oct304410352404
975065080014
1026376000772
1110205623850
125141329404
132644631464
1413c300d272
15a458c6517
hex62421d504

26376000772 has 96 divisors (see below), whose sum is σ = 53620237440. Its totient is φ = 11238528000.

The previous prime is 26376000737. The next prime is 26376000779. The reversal of 26376000772 is 27700067362.

It is a happy number.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (26376000779) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11874622 + ... + 11876842.

It is an arithmetic number, because the mean of its divisors is an integer number (558544140).

Almost surely, 226376000772 is an apocalyptic number.

26376000772 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

26376000772 is an abundant number, since it is smaller than the sum of its proper divisors (27244236668).

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

26376000772 is a wasteful number, since it uses less digits than its factorization.

26376000772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2533 (or 2531 counting only the distinct ones).

The product of its (nonzero) digits is 148176, while the sum is 40.

The spelling of 26376000772 in words is "twenty-six billion, three hundred seventy-six million, seven hundred seventy-two", and thus it is an aban number.

Divisors: 1 2 4 11 22 29 41 44 58 82 116 164 227 319 451 454 638 902 908 1189 1276 1804 2221 2378 2497 4442 4756 4994 6583 8884 9307 9988 13079 13166 18614 24431 26158 26332 37228 48862 52316 64409 72413 91061 97724 102377 128818 144826 182122 204754 257636 269903 289652 364244 409508 504167 539806 708499 1001671 1008334 1079612 1416998 2003342 2016668 2640769 2833996 2968933 4006684 5281538 5545837 5937866 10563076 11091674 11875732 14620843 20670847 22183348 29048459 29241686 41341694 58096918 58483372 82683388 116193836 160829273 227379317 321658546 454758634 599454563 643317092 909517268 1198909126 2397818252 6594000193 13188000386 26376000772