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10099260000 = 253254192953
BaseRepresentation
bin10010110011111011…
…00111101001100000
3222001211112120020200
421121331213221200
5131140402310000
64350050105200
7505161202464
oct113175475140
928054476220
1010099260000
114312850575
121b5a27b200
13c4c4321bb
146bb4004a4
153e1968500
hex259f67a60

10099260000 has 360 divisors, whose sum is σ = 37789872120. Its totient is φ = 2550528000.

The previous prime is 10099259999. The next prime is 10099260007. The reversal of 10099260000 is 6299001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10099260007) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3418524 + ... + 3421476.

It is an arithmetic number, because the mean of its divisors is an integer number (104971867).

Almost surely, 210099260000 is an apocalyptic number.

10099260000 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 10099260000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18894936060).

10099260000 is an abundant number, since it is smaller than the sum of its proper divisors (27690612120).

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

10099260000 is a wasteful number, since it uses less digits than its factorization.

10099260000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3008 (or 2982 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The spelling of 10099260000 in words is "ten billion, ninety-nine million, two hundred sixty thousand".