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10244640000 = 2835473049
BaseRepresentation
bin10011000101010000…
…01100110100000000
3222102222002122010010
421202220030310000
5131440111440000
64412322104520
7511605001050
oct114250146400
928388078103
1010244640000
114387917731
121b9aaab140
13c735a427a
146d2845560
153ee5d3d50
hex262a0cd00

10244640000 has 360 divisors, whose sum is σ = 38951281600. Its totient is φ = 2340864000.

The previous prime is 10244639969. The next prime is 10244640019. The reversal of 10244640000 is 4644201.

It is a Harshad number since it is a multiple of its sum of digits (21).

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 39 ways as a sum of consecutive naturals, for example, 3358476 + ... + 3361524.

Almost surely, 210244640000 is an apocalyptic number.

10244640000 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 10244640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19475640800).

10244640000 is an abundant number, since it is smaller than the sum of its proper divisors (28706641600).

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

10244640000 is an frugal number, since it uses more digits than its factorization.

10244640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3095 (or 3066 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The spelling of 10244640000 in words is "ten billion, two hundred forty-four million, six hundred forty thousand".