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9490694400 = 283352114993
BaseRepresentation
bin10001101011011000…
…01000000100000000
3220111102102020012000
420311230020010000
5123414104210100
64205430304000
7454121366655
oct106554100400
926442366160
109490694400
1140302821a0
121a0a4b8000
13b83327905
14660667c2c
153a8307900
hex235b08100

9490694400 has 432 divisors, whose sum is σ = 37972777920. Its totient is φ = 2300313600.

The previous prime is 9490694399. The next prime is 9490694407. The reversal of 9490694400 is 44960949.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (9490694407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1898304 + ... + 1903296.

Almost surely, 29490694400 is an apocalyptic number.

9490694400 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 9490694400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18986388960).

9490694400 is an abundant number, since it is smaller than the sum of its proper divisors (28482083520).

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

9490694400 is a wasteful number, since it uses less digits than its factorization.

9490694400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5039 (or 5014 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 9490694400 is about 97420.1950316258. The cubic root of 9490694400 is about 2117.2200420038.

The spelling of 9490694400 in words is "nine billion, four hundred ninety million, six hundred ninety-four thousand, four hundred".