Search a number
-
+
10207000944 = 2433719593011
BaseRepresentation
bin10011000000110001…
…00111100101110000
3222100100021101001000
421200120213211300
5131400443012234
64404455242000
7510640035150
oct114030474560
928310241030
1010207000944
114368649978
121b8a379300
13c6885623a
146cb848760
153eb14b899
hex260627970

10207000944 has 320 divisors, whose sum is σ = 35854848000. Its totient is φ = 2715068160.

The previous prime is 10207000931. The next prime is 10207000961. The reversal of 10207000944 is 44900070201.

It is a happy number.

It is a super-2 number, since 2×102070009442 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3388399 + ... + 3391409.

It is an arithmetic number, because the mean of its divisors is an integer number (112046400).

Almost surely, 210207000944 is an apocalyptic number.

10207000944 is a gapful number since it is divisible by the number (14) 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 10207000944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17927424000).

10207000944 is an abundant number, since it is smaller than the sum of its proper divisors (25647847056).

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

10207000944 is a wasteful number, since it uses less digits than its factorization.

10207000944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3113 (or 3101 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The spelling of 10207000944 in words is "ten billion, two hundred seven million, nine hundred forty-four", and thus it is an aban number.