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9991993840 = 2451071167289
BaseRepresentation
bin10010100111001000…
…11011100111110000
3221210100200212201221
421103210123213300
5130430422300330
64331255034424
7502416355243
oct112344334760
927710625657
109991993840
114268246954
121b2a36ba14
13c331462ba
146ab07b25a
153d732ab7a
hex25391b9f0

9991993840 has 40 divisors (see below), whose sum is σ = 23448521520. Its totient is φ = 3959440896.

The previous prime is 9991993829. The next prime is 9991993841. The reversal of 9991993840 is 483991999.

9991993840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×99919938403 (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9991993841) by changing a digit.

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, 575085 + ... + 592204.

It is an arithmetic number, because the mean of its divisors is an integer number (586213038).

Almost surely, 29991993840 is an apocalyptic number.

It is an amenable number.

9991993840 is an abundant number, since it is smaller than the sum of its proper divisors (13456527680).

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

9991993840 is a wasteful number, since it uses less digits than its factorization.

9991993840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1167409 (or 1167403 counting only the distinct ones).

The product of its (nonzero) digits is 5668704, while the sum is 61.

The square root of 9991993840 is about 99959.9611844663. The cubic root of 9991993840 is about 2153.8595782287.

The spelling of 9991993840 in words is "nine billion, nine hundred ninety-one million, nine hundred ninety-three thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 107 214 428 535 856 1070 1712 2140 4280 8560 1167289 2334578 4669156 5836445 9338312 11672890 18676624 23345780 46691560 93383120 124899923 249799846 499599692 624499615 999199384 1248999230 1998398768 2497998460 4995996920 9991993840