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99999998640 = 24325612276867
BaseRepresentation
bin101110100100001110…
…1101110001010110000
3100120010011122021101100
41131020131232022300
53114244444424030
6113534523004400
710140043651353
oct1351035561260
9316104567340
1099999998640
1139456435083
1217469969700
13957880bc39
144ba906029a
152904239360
hex174876e2b0

99999998640 has 120 divisors (see below), whose sum is σ = 341338943088. Its totient is φ = 26229496320.

The previous prime is 99999998639. The next prime is 99999998641. The reversal of 99999998640 is 4689999999.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (99999998639) and next prime (99999998641).

It is a tau number, because it is divible by the number of its divisors (120).

It is a nialpdrome in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 99999998640.

It is not an unprimeable number, because it can be changed into a prime (99999998641) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1094514 + ... + 1182353.

Almost surely, 299999998640 is an apocalyptic number.

99999998640 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

99999998640 is an abundant number, since it is smaller than the sum of its proper divisors (241338944448).

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

99999998640 is a wasteful number, since it uses less digits than its factorization.

99999998640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2276947 (or 2276938 counting only the distinct ones).

The product of its (nonzero) digits is 918330048, while the sum is 81.

The spelling of 99999998640 in words is "ninety-nine billion, nine hundred ninety-nine million, nine hundred ninety-eight thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 61 72 80 90 120 122 144 180 183 240 244 305 360 366 488 549 610 720 732 915 976 1098 1220 1464 1830 2196 2440 2745 2928 3660 4392 4880 5490 7320 8784 10980 14640 21960 43920 2276867 4553734 6830601 9107468 11384335 13661202 18214936 20491803 22768670 27322404 34153005 36429872 40983606 45537340 54644808 68306010 81967212 91074680 102459015 109289616 136612020 138888887 163934424 182149360 204918030 273224040 277777774 327868848 409836060 416666661 546448080 555555548 694444435 819672120 833333322 1111111096 1249999983 1388888870 1639344240 1666666644 2083333305 2222222192 2499999966 2777777740 3333333288 4166666610 4999999932 5555555480 6249999915 6666666576 8333333220 9999999864 11111110960 12499999830 16666666440 19999999728 24999999660 33333332880 49999999320 99999998640