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9999365940 = 22325716071289
BaseRepresentation
bin10010101000000001…
…00011011100110100
3221210212120102100200
421110000203130310
5130434314202230
64332121040500
7502536131244
oct112400433464
927725512320
109999365940
1142714216a3
121b30926130
13c348279a5
146ac039b24
153d7cd5160
hex254023734

9999365940 has 144 divisors (see below), whose sum is σ = 30833187840. Its totient is φ = 2622574080.

The previous prime is 9999365927. The next prime is 9999365941. The reversal of 9999365940 is 495639999.

9999365940 is a `hidden beast` number, since 9 + 9 + 9 + 9 + 36 + 594 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9999365941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7756816 + ... + 7758104.

It is an arithmetic number, because the mean of its divisors is an integer number (214119360).

Almost surely, 29999365940 is an apocalyptic number.

9999365940 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9999365940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15416593920).

9999365940 is an abundant number, since it is smaller than the sum of its proper divisors (20833821900).

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

9999365940 is a wasteful number, since it uses less digits than its factorization.

9999365940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1982 (or 1977 counting only the distinct ones).

The product of its (nonzero) digits is 21257640, while the sum is 63.

The square root of 9999365940 is about 99996.8296497444. The cubic root of 9999365940 is about 2154.3891543741.

The spelling of 9999365940 in words is "nine billion, nine hundred ninety-nine million, three hundred sixty-five thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 71 90 142 180 213 284 355 426 607 639 710 852 1065 1214 1278 1289 1420 1821 2130 2428 2556 2578 3035 3195 3642 3867 4260 5156 5463 6070 6390 6445 7284 7734 9105 10926 11601 12140 12780 12890 15468 18210 19335 21852 23202 25780 27315 36420 38670 43097 46404 54630 58005 77340 86194 91519 109260 116010 129291 172388 183038 215485 232020 258582 274557 366076 387873 430970 457595 517164 549114 646455 775746 782423 823671 861940 915190 1098228 1292910 1372785 1551492 1564846 1647342 1830380 1939365 2347269 2585820 2745570 3129692 3294684 3878730 3912115 4118355 4694538 5491140 7041807 7757460 7824230 8236710 9389076 11736345 14083614 15648460 16473420 23472690 28167228 35209035 46945380 55552033 70418070 111104066 140836140 166656099 222208132 277760165 333312198 499968297 555520330 666624396 833280495 999936594 1111040660 1666560990 1999873188 2499841485 3333121980 4999682970 9999365940