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2813878116 = 2234724212
BaseRepresentation
bin1010011110111000…
…0101111101100100
321021002210211010000
42213232011331210
521230323044431
61143115101300
7126505366200
oct24756057544
97232724100
102813878116
1112143a7305
12666441830
1335ac7904a
141c99d7b00
1511707b9e6
hexa7b85f64

2813878116 has 135 divisors (see below), whose sum is σ = 8577391977. Its totient is φ = 802055520.

The previous prime is 2813878069. The next prime is 2813878117. The reversal of 2813878116 is 6118783182.

It is a happy number.

The square root of 2813878116 is 53046.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 13351716 + 2800526400 = 3654^2 + 52920^2 .

It is not an unprimeable number, because it can be changed into a prime (2813878117) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 6683586 + ... + 6684006.

Almost surely, 22813878116 is an apocalyptic number.

2813878116 is the 53046-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2813878116

2813878116 is an abundant number, since it is smaller than the sum of its proper divisors (5763513861).

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

2813878116 is an equidigital number, since it uses as much as digits as its factorization.

2813878116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 872 (or 433 counting only the distinct ones).

The product of its digits is 129024, while the sum is 45.

The cubic root of 2813878116 is about 1411.7845579966.

The spelling of 2813878116 in words is "two billion, eight hundred thirteen million, eight hundred seventy-eight thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 81 84 98 108 126 147 162 189 196 252 294 324 378 421 441 567 588 756 842 882 1134 1263 1323 1684 1764 2268 2526 2646 2947 3789 3969 5052 5292 5894 7578 7938 8841 11367 11788 15156 15876 17682 20629 22734 26523 34101 35364 41258 45468 53046 61887 68202 79569 82516 106092 123774 136404 159138 177241 185661 238707 247548 318276 354482 371322 477414 531723 556983 708964 742644 954828 1063446 1113966 1240687 1595169 1670949 2126892 2227932 2481374 3190338 3341898 3722061 4785507 4962748 6380676 6683796 7444122 8684809 9571014 11166183 14356521 14888244 17369618 19142028 22332366 26054427 28713042 33498549 34739236 44664732 52108854 57426084 66997098 78163281 100495647 104217708 133994196 156326562 200991294 234489843 312653124 401982588 468979686 703469529 937959372 1406939058 2813878116