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4872772784 = 241167894643
BaseRepresentation
bin1001000100111000…
…01001110010110000
3110120120222111122002
410202130021302300
534434412212114
62123304233132
7231515612435
oct44234116260
913516874562
104872772784
11208060a350
12b3ba6b7a8
135c86a4209
14343223b8c
151d7bc47de
hex122709cb0

4872772784 has 80 divisors (see below), whose sum is σ = 10572716160. Its totient is φ = 2156858880.

The previous prime is 4872772691. The next prime is 4872772823.

4872772784 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×48727727842 = 47487829208982221312, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1047167 + ... + 1051809.

It is an arithmetic number, because the mean of its divisors is an integer number (132158952).

Almost surely, 24872772784 is an apocalyptic number.

4872772784 is a gapful number since it is divisible by the number (44) 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 4872772784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5286358080).

4872772784 is an abundant number, since it is smaller than the sum of its proper divisors (5699943376).

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

4872772784 is a wasteful number, since it uses less digits than its factorization.

4872772784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4818 (or 4812 counting only the distinct ones).

The product of its digits is 9834496, while the sum is 56.

The square root of 4872772784 is about 69805.2489716927. The cubic root of 4872772784 is about 1695.3474613052.

The spelling of 4872772784 in words is "four billion, eight hundred seventy-two million, seven hundred seventy-two thousand, seven hundred eighty-four".

Divisors: 1 2 4 8 11 16 22 44 67 88 89 134 176 178 268 356 536 712 737 979 1072 1424 1474 1958 2948 3916 4643 5896 5963 7832 9286 11792 11926 15664 18572 23852 37144 47704 51073 65593 74288 95408 102146 131186 204292 262372 311081 408584 413227 524744 622162 817168 826454 1049488 1244324 1652908 2488648 3305816 3421891 4545497 4977296 6611632 6843782 9090994 13687564 18181988 27375128 27686209 36363976 54750256 55372418 72727952 110744836 221489672 304548299 442979344 609096598 1218193196 2436386392 4872772784