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10499448960 = 2733571113607
BaseRepresentation
bin10011100011101000…
…01110000010000000
31000002201120021022000
421301310032002000
5133000324331320
64453503344000
7521120562240
oct116164160200
930081507260
1010499448960
1144a8735450
1220502b2000
13cb430b7c0
14718613b20
15416b67c90
hex271d0e080

10499448960 has 1024 divisors, whose sum is σ = 50009702400. Its totient is φ = 2010562560.

The previous prime is 10499448823. The next prime is 10499448977. The reversal of 10499448960 is 6984499401.

It is a happy number.

10499448960 is a `hidden beast` number, since 10 + 4 + 9 + 94 + 489 + 60 = 666.

It is a super-4 number, since 4×104994489604 (a number of 41 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

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 a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 10499448897 and 10499448906.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 17296977 + ... + 17297583.

It is an arithmetic number, because the mean of its divisors is an integer number (48837600).

Almost surely, 210499448960 is an apocalyptic number.

10499448960 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 10499448960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25004851200).

10499448960 is an abundant number, since it is smaller than the sum of its proper divisors (39510253440).

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

10499448960 is a wasteful number, since it uses less digits than its factorization.

10499448960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 666 (or 648 counting only the distinct ones).

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

The spelling of 10499448960 in words is "ten billion, four hundred ninety-nine million, four hundred forty-eight thousand, nine hundred sixty".