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9999242496 = 28324918839
BaseRepresentation
bin10010101000000000…
…00101010100000000
3221210212100011000200
421110000011110000
5130434301224441
64332114245200
7502535105325
oct112400052400
927725304020
109999242496
114271347981
121b30886800
13c347b3749
146ac006b4c
153d7cad7b6
hex254005500

9999242496 has 108 divisors (see below), whose sum is σ = 28892267040. Its totient is φ = 3325916160.

The previous prime is 9999242459. The next prime is 9999242503. The reversal of 9999242496 is 6942429999.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1126845 + ... + 1135683.

Almost surely, 29999242496 is an apocalyptic number.

9999242496 is a gapful number since it is divisible by the number (96) 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 9999242496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14446133520).

9999242496 is an abundant number, since it is smaller than the sum of its proper divisors (18893024544).

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

9999242496 is a wasteful number, since it uses less digits than its factorization.

9999242496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9352 (or 9335 counting only the distinct ones).

The product of its digits is 22674816, while the sum is 63.

The square root of 9999242496 is about 99996.2124082707. The cubic root of 9999242496 is about 2154.3802888950.

The spelling of 9999242496 in words is "nine billion, nine hundred ninety-nine million, two hundred forty-two thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 491 576 768 982 1152 1473 1964 2304 2946 3928 4419 5892 7856 8838 8839 11784 15712 17676 17678 23568 26517 31424 35352 35356 47136 53034 62848 70704 70712 79551 94272 106068 125696 141408 141424 159102 188544 212136 282816 282848 318204 377088 424272 565632 565696 636408 848544 1131264 1131392 1272816 1697088 2262784 2545632 3394176 4339949 5091264 6788352 8679898 10182528 13019847 17359796 20365056 26039694 34719592 39059541 52079388 69439184 78119082 104158776 138878368 156238164 208317552 277756736 312476328 416635104 555513472 624952656 833270208 1111026944 1249905312 1666540416 2499810624 3333080832 4999621248 9999242496