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2968094664 = 233415492957
BaseRepresentation
bin1011000011101001…
…1000011111001000
321122211222211110000
42300322120133020
522034313012124
61210304323000
7133360250133
oct26072303710
97584884400
102968094664
1112934594a7
126aa013460
13383bc3242
1420229d21a
151258906c9
hexb0e987c8

2968094664 has 80 divisors (see below), whose sum is σ = 8321593500. Its totient is φ = 988391808.

The previous prime is 2968094627. The next prime is 2968094669. The reversal of 2968094664 is 4664908692.

It can be written as a sum of positive squares in 2 ways, for example, as 2783406564 + 184688100 = 52758^2 + 13590^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 2968094664.

It is not an unprimeable number, because it can be changed into a prime (2968094669) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1002274 + ... + 1005230.

Almost surely, 22968094664 is an apocalyptic number.

2968094664 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 2968094664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4160796750).

2968094664 is an abundant number, since it is smaller than the sum of its proper divisors (5353498836).

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

2968094664 is a wasteful number, since it uses less digits than its factorization.

2968094664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4524 (or 4511 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The square root of 2968094664 is about 54480.2226867696. Note that the first 3 decimals coincide. The cubic root of 2968094664 is about 1437.1185087126.

The spelling of 2968094664 in words is "two billion, nine hundred sixty-eight million, ninety-four thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 1549 2957 3098 4647 5914 6196 8871 9294 11828 12392 13941 17742 18588 23656 26613 27882 35484 37176 41823 53226 55764 70968 79839 83646 106452 111528 125469 159678 167292 212904 239517 250938 319356 334584 479034 501876 638712 958068 1003752 1916136 4580393 9160786 13741179 18321572 27482358 36643144 41223537 54964716 82447074 109929432 123670611 164894148 247341222 329788296 371011833 494682444 742023666 989364888 1484047332 2968094664