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9242143856 = 24111910326833
BaseRepresentation
bin10001001101101111…
…11110110001110000
3212212002201112221022
420212313332301300
5122411442100411
64125031115012
7445012632551
oct104667766160
925762645838
109242143856
113a12a49520
12195b212a68
13b439a1b9a
14639648328
153915acedb
hex226dfec70

9242143856 has 80 divisors (see below), whose sum is σ = 20763075840. Its totient is φ = 3941084160.

The previous prime is 9242143831. The next prime is 9242143879. The reversal of 9242143856 is 6583412429.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 331016 + ... + 357848.

It is an arithmetic number, because the mean of its divisors is an integer number (259538448).

Almost surely, 29242143856 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9242143856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10381537920).

9242143856 is an abundant number, since it is smaller than the sum of its proper divisors (11520931984).

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

9242143856 is a wasteful number, since it uses less digits than its factorization.

9242143856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26974 (or 26968 counting only the distinct ones).

The product of its digits is 414720, while the sum is 44.

The square root of 9242143856 is about 96136.0694848713. The cubic root of 9242143856 is about 2098.5737750537.

The spelling of 9242143856 in words is "nine billion, two hundred forty-two million, one hundred forty-three thousand, eight hundred fifty-six".

Divisors: 1 2 4 8 11 16 19 22 38 44 76 88 103 152 176 206 209 304 412 418 824 836 1133 1648 1672 1957 2266 3344 3914 4532 7828 9064 15656 18128 21527 26833 31312 43054 53666 86108 107332 172216 214664 295163 344432 429328 509827 590326 1019654 1180652 2039308 2361304 2763799 4078616 4722608 5527598 5608097 8157232 11055196 11216194 22110392 22432388 30401789 44220784 44864776 52512181 60803578 89729552 105024362 121607156 210048724 243214312 420097448 486428624 577633991 840194896 1155267982 2310535964 4621071928 9242143856