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9943249690 = 2511316414549
BaseRepresentation
bin10010100001010100…
…11111001100011010
3221122221222102100001
421100222133030122
5130330432442230
64322354203214
7501255141103
oct112052371432
927587872301
109943249690
114242783730
121b15b8350a
13c2600a6ca
146a47cd3aa
153d2ded0ca
hex250a9f31a

9943249690 has 64 divisors (see below), whose sum is σ = 20190643200. Its totient is φ = 3492864000.

The previous prime is 9943249681. The next prime is 9943249711. The reversal of 9943249690 is 969423499.

9943249690 is a nontrivial binomial coefficient, being equal to C(141020, 2).

It is a super-2 number, since 2×99432496902 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2183536 + ... + 2188084.

It is an arithmetic number, because the mean of its divisors is an integer number (315478800).

Almost surely, 29943249690 is an apocalyptic number.

9943249690 is the 141019-th triangular number and also the 70510-th hexagonal number.

9943249690 is the 47007-th centered nonagonal number.

9943249690 is an abundant number, since it is smaller than the sum of its proper divisors (10247393510).

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

9943249690 is a wasteful number, since it uses less digits than its factorization.

9943249690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5239.

The product of its (nonzero) digits is 3779136, while the sum is 55.

The square root of 9943249690 is about 99715.8447289096. The cubic root of 9943249690 is about 2150.3514615626.

The spelling of 9943249690 in words is "nine billion, nine hundred forty-three million, two hundred forty-nine thousand, six hundred ninety".

Divisors: 1 2 5 10 11 22 31 55 62 110 155 310 341 641 682 1282 1705 3205 3410 4549 6410 7051 9098 14102 19871 22745 35255 39742 45490 50039 70510 99355 100078 141019 198710 218581 250195 282038 437162 500390 705095 1092905 1410190 1551209 2185810 2915909 3102418 5831818 7756045 14579545 15512090 29159090 32074999 64149998 90393179 160374995 180786358 320749990 451965895 903931790 994324969 1988649938 4971624845 9943249690