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993254093376 = 26327119089293
BaseRepresentation
bin11100111010000101000…
…11101011001001000000
310111221202120210212021120
432131002203223021000
5112233141021442001
62040143350152240
7131521522330536
oct16350243531100
93457676725246
10993254093376
11353267050456
121405ba952680
137288180950c
1436106550156
151ac843de236
hexe7428eb240

993254093376 has 56 divisors (see below), whose sum is σ = 2637682287744. Its totient is φ = 329862965760.

The previous prime is 993254093369. The next prime is 993254093413. The reversal of 993254093376 is 673390452399.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9492615 + ... + 9596678.

It is an arithmetic number, because the mean of its divisors is an integer number (47101469424).

Almost surely, 2993254093376 is an apocalyptic number.

993254093376 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

993254093376 is an abundant number, since it is smaller than the sum of its proper divisors (1644428194368).

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

993254093376 is a wasteful number, since it uses less digits than its factorization.

993254093376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19089579 (or 19089569 counting only the distinct ones).

The product of its (nonzero) digits is 33067440, while the sum is 60.

The spelling of 993254093376 in words is "nine hundred ninety-three billion, two hundred fifty-four million, ninety-three thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 271 542 813 1084 1626 2168 3252 4336 6504 8672 13008 17344 26016 52032 19089293 38178586 57267879 76357172 114535758 152714344 229071516 305428688 458143032 610857376 916286064 1221714752 1832572128 3665144256 5173198403 10346396806 15519595209 20692793612 31039190418 41385587224 62078380836 82771174448 124156761672 165542348896 248313523344 331084697792 496627046688 993254093376