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292872534006 = 231321716989937
BaseRepresentation
bin1000100001100001001…
…00000011011111110110
31000222221210100020111010
410100300210003133312
514244300332042011
6342313242453050
730105440315163
oct4206044033766
91028853306433
10292872534006
1110322aa01638
1248916504186
13218052b6700
14102646c506a
157941ab71a6
hex44309037f6

292872534006 has 48 divisors (see below), whose sum is σ = 671578269264. Its totient is φ = 84813760512.

The previous prime is 292872533977. The next prime is 292872534047. The reversal of 292872534006 is 600435278292.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 8477731 + ... + 8512206.

It is an arithmetic number, because the mean of its divisors is an integer number (13991213943).

Almost surely, 2292872534006 is an apocalyptic number.

292872534006 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

292872534006 is an abundant number, since it is smaller than the sum of its proper divisors (378705735258).

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

292872534006 is a wasteful number, since it uses less digits than its factorization.

292872534006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16989985 (or 16989972 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 48.

The spelling of 292872534006 in words is "two hundred ninety-two billion, eight hundred seventy-two million, five hundred thirty-four thousand, six".

Divisors: 1 2 3 6 13 17 26 34 39 51 78 102 169 221 338 442 507 663 1014 1326 2873 5746 8619 17238 16989937 33979874 50969811 101939622 220869181 288828929 441738362 577657858 662607543 866486787 1325215086 1732973574 2871299353 3754776077 5742598706 7509552154 8613898059 11264328231 17227796118 22528656462 48812089001 97624178002 146436267003 292872534006