Search a number
-
+
10099596000 = 2535313101641
BaseRepresentation
bin10010110011111101…
…11001101011100000
3222001212011122011010
421121332321223200
5131140444033000
64350101220520
7505164102204
oct113176715340
928055148133
1010099596000
114312a5aa5a
121b5a401740
13c4c51c110
146bb48ab04
153e19d2d50
hex259fb9ae0

10099596000 has 384 divisors, whose sum is σ = 36040298112. Its totient is φ = 2457600000.

The previous prime is 10099595971. The next prime is 10099596007. The reversal of 10099596000 is 69599001.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 10099596000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10099596007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15755680 + ... + 15756320.

It is an arithmetic number, because the mean of its divisors is an integer number (93854943).

Almost surely, 210099596000 is an apocalyptic number.

10099596000 is a gapful number since it is divisible by the number (10) 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 10099596000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18020149056).

10099596000 is an abundant number, since it is smaller than the sum of its proper divisors (25940702112).

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

10099596000 is a wasteful number, since it uses less digits than its factorization.

10099596000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 783 (or 765 counting only the distinct ones).

The product of its (nonzero) digits is 21870, while the sum is 39.

The spelling of 10099596000 in words is "ten billion, ninety-nine million, five hundred ninety-six thousand".