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4978822472 = 231321921012
BaseRepresentation
bin1001010001100001…
…01100110101001000
3110211222112101110022
410220300230311020
540144034304342
62142013240012
7234244202261
oct45060546510
913758471408
104978822472
112125463018
12b6b493008
13614655500
1435334b968
151e21719d2
hex128c2cd48

4978822472 has 108 divisors (see below), whose sum is σ = 10775341035. Its totient is φ = 2155420800.

The previous prime is 4978822441. The next prime is 4978822481. The reversal of 4978822472 is 2742288794.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 3437945956 + 1540876516 = 58634^2 + 39254^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=49894.

It is a Duffinian number.

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 26 ways as a sum of consecutive naturals, for example, 49295222 + ... + 49295322.

Almost surely, 24978822472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4978822472

4978822472 is an abundant number, since it is smaller than the sum of its proper divisors (5796518563).

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

4978822472 is a wasteful number, since it uses less digits than its factorization.

4978822472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 135 counting only the distinct ones).

The product of its digits is 3612672, while the sum is 53.

The square root of 4978822472 is about 70560.7714810432. The cubic root of 4978822472 is about 1707.5583259425.

The spelling of 4978822472 in words is "four billion, nine hundred seventy-eight million, eight hundred twenty-two thousand, four hundred seventy-two".

Divisors: 1 2 4 8 13 19 26 38 52 76 101 104 152 169 202 247 338 361 404 494 676 722 808 988 1313 1352 1444 1919 1976 2626 2888 3211 3838 4693 5252 6422 7676 9386 10201 10504 12844 15352 17069 18772 20402 24947 25688 34138 36461 37544 40804 49894 61009 68276 72922 81608 99788 122018 132613 136552 145844 193819 199576 244036 265226 291688 324311 387638 473993 488072 530452 648622 775276 947986 1060904 1297244 1550552 1723969 1895972 2519647 2594488 3447938 3682561 3791944 5039294 6161909 6895876 7365122 10078588 12323818 13791752 14730244 20157176 24647636 29460488 32755411 47873293 49295272 65510822 95746586 131021644 191493172 262043288 382986344 622352809 1244705618 2489411236 4978822472