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9412303680 = 26355139311
BaseRepresentation
bin10001100010000010…
…00101101101000000
3220021221220120100000
420301001011231000
5123234022204210
64153550200000
7452150155413
oct106101055500
926257816300
109412303680
113aa000007a
1219a81b3000
13b7000bb80
1465409db7a
153a14c0ac0
hex231045b40

9412303680 has 336 divisors, whose sum is σ = 36159911424. Its totient is φ = 2316625920.

The previous prime is 9412303661. The next prime is 9412303717. The reversal of 9412303680 is 863032149.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1006225 + ... + 1015535.

It is an arithmetic number, because the mean of its divisors is an integer number (107618784).

Almost surely, 29412303680 is an apocalyptic number.

9412303680 is a gapful number since it is divisible by the number (90) 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 9412303680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18079955712).

9412303680 is an abundant number, since it is smaller than the sum of its proper divisors (26747607744).

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

9412303680 is a wasteful number, since it uses less digits than its factorization.

9412303680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9356 (or 9334 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 9412303680 is about 97017.0277837865. The cubic root of 9412303680 is about 2111.3746857450.

The spelling of 9412303680 in words is "nine billion, four hundred twelve million, three hundred three thousand, six hundred eighty".