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9993488004 = 2232409678721
BaseRepresentation
bin10010100111010100…
…01000011010000100
3221210110111210100100
421103222020122010
5130431313104004
64331351044100
7502435150353
oct112352103204
927713453310
109993488004
1142690774a5
121b2a970630
13c3354a416
146ab34999a
153d7523739
hex253a88684

9993488004 has 36 divisors (see below), whose sum is σ = 25323117820. Its totient is φ = 3323013120.

The previous prime is 9993488003. The next prime is 9993488023. The reversal of 9993488004 is 4008843999.

It can be written as a sum of positive squares in 2 ways, for example, as 4531982400 + 5461505604 = 67320^2 + 73902^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-4 number, since 4×99934880044 (a number of 41 digits) contains 4444 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (9993488003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 324637 + ... + 354084.

Almost surely, 29993488004 is an apocalyptic number.

It is an amenable number.

9993488004 is an abundant number, since it is smaller than the sum of its proper divisors (15329629816).

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

9993488004 is a wasteful number, since it uses less digits than its factorization.

9993488004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 679140 (or 679135 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The square root of 9993488004 is about 99967.4347175119. The cubic root of 9993488004 is about 2153.9669328133.

The spelling of 9993488004 in words is "nine billion, nine hundred ninety-three million, four hundred eighty-eight thousand, four".

Divisors: 1 2 3 4 6 9 12 18 36 409 818 1227 1636 2454 3681 4908 7362 14724 678721 1357442 2036163 2714884 4072326 6108489 8144652 12216978 24433956 277596889 555193778 832790667 1110387556 1665581334 2498372001 3331162668 4996744002 9993488004