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10981236960 = 2533519353379
BaseRepresentation
bin10100011101000100…
…00110000011100000
31001100022010122012000
422032202012003200
5134442144040320
65013354004000
7536060655051
oct121642060340
931308118160
1010981236960
114725692951
122165716600
131060088265
147625c8728
154440d4c90
hex28e8860e0

10981236960 has 384 divisors, whose sum is σ = 40678848000. Its totient is φ = 2759049216.

The previous prime is 10981236913. The next prime is 10981236961. The reversal of 10981236960 is 6963218901.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10981236961) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28974051 + ... + 28974429.

It is an arithmetic number, because the mean of its divisors is an integer number (105934500).

Almost surely, 210981236960 is an apocalyptic number.

10981236960 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 10981236960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20339424000).

10981236960 is an abundant number, since it is smaller than the sum of its proper divisors (29697611040).

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

10981236960 is a wasteful number, since it uses less digits than its factorization.

10981236960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 775 (or 761 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The spelling of 10981236960 in words is "ten billion, nine hundred eighty-one million, two hundred thirty-six thousand, nine hundred sixty".