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492106289472 = 26327122050171
BaseRepresentation
bin1110010100100111101…
…00100001000101000000
31202001012201210200002100
413022103310201011000
531030313202230342
61014023121350400
750360565305130
oct7122364410500
91661181720070
10492106289472
1117a779197996
127b459498400
1337536941145
1419b64b06ac0
15cc02b30e4c
hex7293d21140

492106289472 has 84 divisors (see below), whose sum is σ = 1612038671776. Its totient is φ = 140601795840.

The previous prime is 492106289461. The next prime is 492106289489. The reversal of 492106289472 is 274982601294.

It is a happy number.

492106289472 is a `hidden beast` number, since 4 + 9 + 2 + 1 + 0 + 628 + 9 + 4 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (84).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 61021054 + ... + 61029117.

Almost surely, 2492106289472 is an apocalyptic number.

492106289472 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

492106289472 is an abundant number, since it is smaller than the sum of its proper divisors (1119932382304).

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

492106289472 is a wasteful number, since it uses less digits than its factorization.

492106289472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122050196 (or 122050183 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 492106289472 in words is "four hundred ninety-two billion, one hundred six million, two hundred eighty-nine thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 144 168 192 224 252 288 336 448 504 576 672 1008 1344 2016 4032 122050171 244100342 366150513 488200684 732301026 854351197 976401368 1098451539 1464602052 1708702394 1952802736 2196903078 2563053591 2929204104 3417404788 3905605472 4393806156 5126107182 5858408208 6834809576 7689160773 7811210944 8787612312 10252214364 11716816416 13669619152 15378321546 17575224624 20504428728 23433632832 27339238304 30756643092 35150449248 41008857456 54678476608 61513286184 70300898496 82017714912 123026572368 164035429824 246053144736 492106289472