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2968043060682 = 2377689914051
BaseRepresentation
bin101011001100001101001…
…001101111110111001010
3101111202001000122120000000
4223030031021233313022
5342112023010420212
610151300011223430
7424301605516560
oct53141511576712
911452030576000
102968043060682
11a44815a27227
123bb287747b76
13186b67bb945b
14a3922a01a30
1552313e111dc
hex2b30d26fdca

2968043060682 has 128 divisors (see below), whose sum is σ = 7632596736000. Its totient is φ = 847829041200.

The previous prime is 2968043060677. The next prime is 2968043060707. The reversal of 2968043060682 is 2860603408692.

2968043060682 is a `hidden beast` number, since 2 + 96 + 8 + 0 + 430 + 60 + 68 + 2 = 666.

It is a super-2 number, since 2×29680430606822 (a number of 26 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 211226557 + ... + 211240607.

It is an arithmetic number, because the mean of its divisors is an integer number (59629662000).

Almost surely, 22968043060682 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2968043060682, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3816298368000).

2968043060682 is an abundant number, since it is smaller than the sum of its proper divisors (4664553675318).

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

2968043060682 is an equidigital number, since it uses as much as digits as its factorization.

2968043060682 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20980 (or 20962 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 2968043060682 in words is "two trillion, nine hundred sixty-eight billion, forty-three million, sixty thousand, six hundred eighty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 126 162 189 243 378 486 567 729 1134 1458 1701 2187 3402 4374 5103 6899 10206 13798 14051 15309 20697 28102 30618 41394 42153 48293 62091 84306 96586 98357 124182 126459 144879 186273 196714 252918 289758 295071 372546 379377 434637 558819 590142 758754 869274 885213 1117638 1138131 1303911 1676457 1770426 2276262 2607822 2655639 3352914 3414393 3911733 5029371 5311278 6828786 7823466 7966917 10058742 10243179 11735199 15088113 15933834 20486358 23470398 23900751 30176226 30729537 35205597 47801502 61459074 70411194 71702253 96937849 105616791 143404506 193875698 211233582 215106759 290813547 430213518 581627094 678564943 872440641 1357129886 1744881282 2035694829 2617321923 4071389658 5234643846 6107084487 7851965769 12214168974 15703931538 18321253461 23555897307 36642506922 47111794614 54963760383 70667691921 109927520766 141335383842 164891281149 212003075763 329782562298 424006151526 494673843447 989347686894 1484021530341 2968043060682