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2798943264 = 253213839007
BaseRepresentation
bin1010011011010100…
…0111110000100000
321020001201001100100
42212311013300200
521213012141024
61141423022400
7126234424305
oct24665076040
97201631310
102798943264
111206a26557
1266143aa00
13357b4a260
141c7a2b0ac
15115acb7c9
hexa6d47c20

2798943264 has 144 divisors (see below), whose sum is σ = 8676001152. Its totient is φ = 850742784.

The previous prime is 2798943263. The next prime is 2798943281. The reversal of 2798943264 is 4623498972.

2798943264 is a `hidden beast` number, since 2 + 79 + 89 + 432 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 2798943264.

It is not an unprimeable number, because it can be changed into a prime (2798943263) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 306249 + ... + 315255.

It is an arithmetic number, because the mean of its divisors is an integer number (60250008).

Almost surely, 22798943264 is an apocalyptic number.

2798943264 is a gapful number since it is divisible by the number (24) 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 2798943264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4338000576).

2798943264 is an abundant number, since it is smaller than the sum of its proper divisors (5877057888).

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

2798943264 is a wasteful number, since it uses less digits than its factorization.

2798943264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9119 (or 9108 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 54.

The square root of 2798943264 is about 52905.0400623608. The cubic root of 2798943264 is about 1409.2824113812.

It can be divided in two parts, 27989 and 43264, that added together give a triangular number (71253 = T377).

The spelling of 2798943264 in words is "two billion, seven hundred ninety-eight million, nine hundred forty-three thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 83 96 104 117 144 156 166 208 234 249 288 312 332 416 468 498 624 664 747 936 996 1079 1248 1328 1494 1872 1992 2158 2656 2988 3237 3744 3984 4316 5976 6474 7968 8632 9007 9711 11952 12948 17264 18014 19422 23904 25896 27021 34528 36028 38844 51792 54042 72056 77688 81063 103584 108084 117091 144112 155376 162126 216168 234182 288224 310752 324252 351273 432336 468364 648504 702546 747581 864672 936728 1053819 1297008 1405092 1495162 1873456 2107638 2242743 2594016 2810184 2990324 3746912 4215276 4485486 5620368 5980648 6728229 8430552 8970972 9718553 11240736 11961296 13456458 16861104 17941944 19437106 23922592 26912916 29155659 33722208 35883888 38874212 53825832 58311318 71767776 77748424 87466977 107651664 116622636 155496848 174933954 215303328 233245272 310993696 349867908 466490544 699735816 932981088 1399471632 2798943264