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9924234336 = 253241840467
BaseRepresentation
bin10010011111000011…
…11100110001100000
3221121122012100011200
421033201330301200
5130311100444321
64320434441200
7500634412542
oct111741746140
927548170150
109924234336
114232a76165
121b0b733200
13c220b0513
146a207d692
153d13e3d26
hex24f87cc60

9924234336 has 72 divisors (see below), whose sum is σ = 28910418264. Its totient is φ = 3227389440.

The previous prime is 9924234329. The next prime is 9924234343. The reversal of 9924234336 is 6334324299.

It is an interprime number because it is at equal distance from previous prime (9924234329) and next prime (9924234343).

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a junction number, because it is equal to n+sod(n) for n = 9924234291 and 9924234300.

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, 408426 + ... + 432041.

It is an arithmetic number, because the mean of its divisors is an integer number (401533587).

Almost surely, 29924234336 is an apocalyptic number.

9924234336 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

9924234336 is an abundant number, since it is smaller than the sum of its proper divisors (18986183928).

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

9924234336 is a wasteful number, since it uses less digits than its factorization.

9924234336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 840524 (or 840513 counting only the distinct ones).

The product of its digits is 839808, while the sum is 45.

The square root of 9924234336 is about 99620.4513942795. The cubic root of 9924234336 is about 2148.9798178536.

The spelling of 9924234336 in words is "nine billion, nine hundred twenty-four million, two hundred thirty-four thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 41 48 72 82 96 123 144 164 246 288 328 369 492 656 738 984 1312 1476 1968 2952 3936 5904 11808 840467 1680934 2521401 3361868 5042802 6723736 7564203 10085604 13447472 15128406 20171208 26894944 30256812 34459147 40342416 60513624 68918294 80684832 103377441 121027248 137836588 206754882 242054496 275673176 310132323 413509764 551346352 620264646 827019528 1102692704 1240529292 1654039056 2481058584 3308078112 4962117168 9924234336