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2986672293376 = 29471223101483
BaseRepresentation
bin101011011101100011100…
…010101000011000000000
3101120112010022211122000021
4223131203202220120000
5342413201101342001
610204020332303224
7425531344422412
oct53354342503000
911515108748007
102986672293376
11a51705713502
12402a06611b14
131888465ac275
14a47acc249b2
1552a5465dba1
hex2b7638a8600

2986672293376 has 80 divisors (see below), whose sum is σ = 6099522891264. Its totient is φ = 1460353583104.

The previous prime is 2986672293307. The next prime is 2986672293377. The reversal of 2986672293376 is 6733922766892.

It is a super-2 number, since 2×29866722933762 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2986672293377) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29379531 + ... + 29481013.

Almost surely, 22986672293376 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 2986672293376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3049761445632).

2986672293376 is an abundant number, since it is smaller than the sum of its proper divisors (3112850597888).

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

2986672293376 is a wasteful number, since it uses less digits than its factorization.

2986672293376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102771 (or 102755 counting only the distinct ones).

The product of its digits is 493807104, while the sum is 70.

The spelling of 2986672293376 in words is "two trillion, nine hundred eighty-six billion, six hundred seventy-two million, two hundred ninety-three thousand, three hundred seventy-six".

Divisors: 1 2 4 8 16 32 47 64 94 128 188 256 376 512 752 1223 1504 2446 3008 4892 6016 9784 12032 19568 24064 39136 57481 78272 101483 114962 156544 202966 229924 313088 405932 459848 626176 811864 919696 1623728 1839392 3247456 3678784 4769701 6494912 7357568 9539402 12989824 14715136 19078804 25979648 29430272 38157608 51959296 76315216 124113709 152630432 248227418 305260864 496454836 610521728 992909672 1221043456 1985819344 2442086912 3971638688 5833344323 7943277376 11666688646 15886554752 23333377292 31773109504 46666754584 63546219008 93333509168 186667018336 373334036672 746668073344 1493336146688 2986672293376