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1968458922 = 2364093301
BaseRepresentation
bin111010101010100…
…0100110010101010
312002012000002000000
41311111010302222
513012411141142
6523154523430
766531424203
oct16525046252
95065002000
101968458922
11920164361
1246b296576
13254a82ac1
141496085aa
15b7c3214c
hex75544caa

1968458922 has 56 divisors (see below), whose sum is σ = 4439175780. Its totient is φ = 654350400.

The previous prime is 1968458911. The next prime is 1968458923. The reversal of 1968458922 is 2298548691.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1953551601 + 14907321 = 44199^2 + 3861^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (1968458923) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 594672 + ... + 597972.

Almost surely, 21968458922 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1968458922, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2219587890).

1968458922 is an abundant number, since it is smaller than the sum of its proper divisors (2470716858).

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

1968458922 is an equidigital number, since it uses as much as digits as its factorization.

1968458922 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3730 (or 3715 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 54.

The square root of 1968458922 is about 44367.3181745302. The cubic root of 1968458922 is about 1253.2627130466.

It can be divided in two parts, 19684 and 58922, that added together give a triangular number (78606 = T396).

The spelling of 1968458922 in words is "one billion, nine hundred sixty-eight million, four hundred fifty-eight thousand, nine hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 409 486 729 818 1227 1458 2454 3301 3681 6602 7362 9903 11043 19806 22086 29709 33129 59418 66258 89127 99387 178254 198774 267381 298161 534762 596322 802143 1350109 1604286 2406429 2700218 4050327 4812858 8100654 12150981 24301962 36452943 72905886 109358829 218717658 328076487 656152974 984229461 1968458922