Search a number
-
+
10020275616 = 25313127191331
BaseRepresentation
bin10010101010100000…
…10100010110100000
3221212022220202001010
421111100110112200
5131010142304431
64334145140520
7503211636351
oct112520242640
927768822033
1010020275616
11428220341a
121b3792a740
13c38c69190
146b0b1dd28
153d9a65846
hex2554145a0

10020275616 has 192 divisors, whose sum is σ = 28785770496. Its totient is φ = 3033676800.

The previous prime is 10020275599. The next prime is 10020275621. The reversal of 10020275616 is 61657202001.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30272571 + ... + 30272901.

It is an arithmetic number, because the mean of its divisors is an integer number (149925888).

Almost surely, 210020275616 is an apocalyptic number.

10020275616 is a gapful number since it is divisible by the number (16) 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 10020275616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14392885248).

10020275616 is an abundant number, since it is smaller than the sum of its proper divisors (18765494880).

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

10020275616 is a wasteful number, since it uses less digits than its factorization.

10020275616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 675 (or 667 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

Adding to 10020275616 its reverse (61657202001), we get a palindrome (71677477617).

The spelling of 10020275616 in words is "ten billion, twenty million, two hundred seventy-five thousand, six hundred sixteen".