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2904977868 = 22313196116067
BaseRepresentation
bin1010110100100110…
…0111000111001100
321111110020011110220
42231021213013030
521422133242433
61200131431340
7131662622142
oct25511470714
97443204426
102904977868
111260869961
12690a55550
13373ac4720
141d7b4d592
151200742b3
hexad2671cc

2904977868 has 96 divisors (see below), whose sum is σ = 7810333440. Its totient is φ = 832861440.

The previous prime is 2904977827. The next prime is 2904977869. The reversal of 2904977868 is 8687794092.

2904977868 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (2904977869) 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, 172771 + ... + 188837.

It is an arithmetic number, because the mean of its divisors is an integer number (81357640).

Almost surely, 22904977868 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 2904977868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3905166720).

2904977868 is an abundant number, since it is smaller than the sum of its proper divisors (4905355572).

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

2904977868 is a wasteful number, since it uses less digits than its factorization.

2904977868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16167 (or 16165 counting only the distinct ones).

The product of its (nonzero) digits is 12192768, while the sum is 60.

The square root of 2904977868 is about 53897.8465989134. The cubic root of 2904977868 is about 1426.8586180377.

The spelling of 2904977868 in words is "two billion, nine hundred four million, nine hundred seventy-seven thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 12 13 19 26 38 39 52 57 61 76 78 114 122 156 183 228 244 247 366 494 732 741 793 988 1159 1482 1586 2318 2379 2964 3172 3477 4636 4758 6954 9516 13908 15067 16067 30134 32134 45201 48201 60268 64268 90402 96402 180804 192804 208871 305273 417742 610546 626613 835484 915819 980087 1221092 1253226 1831638 1960174 2506452 2940261 3663276 3920348 3968549 5880522 7937098 11761044 11905647 12741131 15874196 18621653 23811294 25482262 37243306 38223393 47622588 50964524 55864959 74486612 76446786 111729918 152893572 223459836 242081489 484162978 726244467 968325956 1452488934 2904977868