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1968852690 = 233572294549
BaseRepresentation
bin111010101011010…
…0100111011010010
312002012202002011000
41311112210323102
513013011241230
6523211202430
766534654210
oct16526447322
95065662130
101968852690
11920403192
1246b446416
13254b900bc
141496abcb0
15b7cadb60
hex755a4ed2

1968852690 has 128 divisors (see below), whose sum is σ = 6027840000. Its totient is φ = 447959808.

The previous prime is 1968852689. The next prime is 1968852719. The reversal of 1968852690 is 962588691.

It is a happy number.

It is a super-2 number, since 2×19688526902 = 7752761829840472200, which contains 22 as substring.

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

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 63 ways as a sum of consecutive naturals, for example, 430536 + ... + 435084.

It is an arithmetic number, because the mean of its divisors is an integer number (47092500).

Almost surely, 21968852690 is an apocalyptic number.

1968852690 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1968852690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3013920000).

1968852690 is an abundant number, since it is smaller than the sum of its proper divisors (4058987310).

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

1968852690 is a wasteful number, since it uses less digits than its factorization.

1968852690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4801 (or 4795 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The square root of 1968852690 is about 44371.7555433634. The cubic root of 1968852690 is about 1253.3462744973.

The spelling of 1968852690 in words is "one billion, nine hundred sixty-eight million, eight hundred fifty-two thousand, six hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 90 105 126 135 189 210 229 270 315 378 458 630 687 945 1145 1374 1603 1890 2061 2290 3206 3435 4122 4549 4809 6183 6870 8015 9098 9618 10305 12366 13647 14427 16030 20610 22745 24045 27294 28854 30915 31843 40941 43281 45490 48090 61830 63686 68235 72135 81882 86562 95529 122823 136470 144270 159215 191058 204705 216405 245646 286587 318430 409410 432810 477645 573174 614115 859761 955290 1041721 1228230 1432935 1719522 2083442 2865870 3125163 4298805 5208605 6250326 7292047 8597610 9375489 10417210 14584094 15625815 18750978 21876141 28126467 31251630 36460235 43752282 46877445 56252934 65628423 72920470 93754890 109380705 131256846 140632335 196885269 218761410 281264670 328142115 393770538 656284230 984426345 1968852690