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292017028996 = 2272116292
BaseRepresentation
bin1000011111111011001…
…00100011111110000100
31000220202011120002020101
410033331210203332010
514241022324411441
6342052322213444
730045311535400
oct4177544437604
91026664502211
10292017028996
11102931000000
1248717ab4284
13216c9c9b824
14101c2c2c100
1578e1929231
hex43fd923f84

292017028996 has 189 divisors, whose sum is σ = 677235670293. Its totient is φ = 109849666080.

The previous prime is 292017028969. The next prime is 292017029009. The reversal of 292017028996 is 699820710292.

The square root of 292017028996 is 540386.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 153126646596 + 138890382400 = 391314^2 + 372680^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 10069552710 + ... + 10069552738.

Almost surely, 2292017028996 is an apocalyptic number.

292017028996 is the 540386-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 292017028996

292017028996 is an abundant number, since it is smaller than the sum of its proper divisors (385218641297).

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

292017028996 is an frugal number, since it uses more digits than its factorization.

292017028996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 55.

The spelling of 292017028996 in words is "two hundred ninety-two billion, seventeen million, twenty-eight thousand, nine hundred ninety-six".