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2992349412378 = 23447400198227
BaseRepresentation
bin101011100010110101111…
…011000111110000011010
3101121001202222100011020000
4223202311323013300122
5343011312422144003
610210355532513430
7426122131222644
oct53426573076032
911531688304200
102992349412378
11a54059261a97
12403b2b91b876
1318923c7c8691
14a4b8abc5894
1552c87c681a3
hex2b8b5ec7c1a

2992349412378 has 80 divisors (see below), whose sum is σ = 6849521737344. Its totient is φ = 975973536000.

The previous prime is 2992349412343. The next prime is 2992349412401. The reversal of 2992349412378 is 8732149432992.

2992349412378 is a `hidden beast` number, since 2 + 99 + 23 + 49 + 412 + 3 + 78 = 666.

It is a super-2 number, since 2×29923494123782 (a number of 26 digits) contains 22 as substring.

It is a Curzon number.

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 39 ways as a sum of consecutive naturals, for example, 30414501 + ... + 30512727.

Almost surely, 22992349412378 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2992349412378, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3424760868672).

2992349412378 is an abundant number, since it is smaller than the sum of its proper divisors (3857172324966).

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

2992349412378 is a wasteful number, since it uses less digits than its factorization.

2992349412378 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102289 (or 102280 counting only the distinct ones).

The product of its digits is 47029248, while the sum is 63.

The spelling of 2992349412378 in words is "two trillion, nine hundred ninety-two billion, three hundred forty-nine million, four hundred twelve thousand, three hundred seventy-eight".

Divisors: 1 2 3 6 9 18 27 47 54 81 94 141 162 282 423 846 1269 2538 3807 4001 7614 8002 12003 24006 36009 72018 98227 108027 188047 196454 216054 294681 324081 376094 564141 589362 648162 884043 1128282 1692423 1768086 2652129 3384846 4616669 5077269 5304258 7956387 9233338 10154538 13850007 15231807 15912774 27700014 30463614 41550021 83100042 124650063 249300126 373950189 393006227 747900378 786012454 1179018681 2358037362 3537056043 7074112086 10611168129 18471292669 21222336258 31833504387 36942585338 55413878007 63667008774 110827756014 166241634021 332483268042 498724902063 997449804126 1496174706189 2992349412378