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2968041660 = 22354110911069
BaseRepresentation
bin1011000011101000…
…1011100010111100
321122211220010201220
42300322023202330
522034304313120
61210303233340
7133356636453
oct26072134274
97584803656
102968041660
1112934226a1
126a9ba8850
13383ba508c
14202287b9a
1512587eb40
hexb0e8b8bc

2968041660 has 96 divisors (see below), whose sum is σ = 8592091200. Its totient is φ = 765020160.

The previous prime is 2968041653. The next prime is 2968041673. The reversal of 2968041660 is 661408692.

2968041660 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 262606 + ... + 273674.

It is an arithmetic number, because the mean of its divisors is an integer number (89500950).

Almost surely, 22968041660 is an apocalyptic number.

2968041660 is a gapful number since it is divisible by the number (20) 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 2968041660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4296045600).

2968041660 is an abundant number, since it is smaller than the sum of its proper divisors (5624049540).

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

2968041660 is a wasteful number, since it uses less digits than its factorization.

2968041660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11231 (or 11229 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 2968041660 is about 54479.7362328417. The cubic root of 2968041660 is about 1437.1099540121.

The spelling of 2968041660 in words is "two billion, nine hundred sixty-eight million, forty-one thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 41 60 82 109 123 164 205 218 246 327 410 436 492 545 615 654 820 1090 1230 1308 1635 2180 2460 3270 4469 6540 8938 11069 13407 17876 22138 22345 26814 33207 44276 44690 53628 55345 66414 67035 89380 110690 132828 134070 166035 221380 268140 332070 453829 664140 907658 1206521 1361487 1815316 2269145 2413042 2722974 3619563 4538290 4826084 5445948 6032605 6807435 7239126 9076580 12065210 13614870 14478252 18097815 24130420 27229740 36195630 49467361 72391260 98934722 148402083 197869444 247336805 296804166 494673610 593608332 742010415 989347220 1484020830 2968041660