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10040582025760 = 25511132272338297
BaseRepresentation
bin1001001000011100000101…
…0100110011001000100000
31022112212111102110202120111
42102013001110303020200
52304001102444311020
633204325114421104
72054256661023226
oct222070124631040
938485442422514
1010040582025760
113221206883690
121161b22731794
1357aa90982310
14269d76b24b16
151262a2a96d5a
hex921c1533220

10040582025760 has 384 divisors, whose sum is σ = 28114166755584. Its totient is φ = 3340614696960.

The previous prime is 10040582025713. The next prime is 10040582025781. The reversal of 10040582025760 is 6752028504001.

It is a Harshad number since it is a multiple of its sum of digits (40).

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, 1210141932 + ... + 1210150228.

It is an arithmetic number, because the mean of its divisors is an integer number (73213975926).

Almost surely, 210040582025760 is an apocalyptic number.

10040582025760 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 10040582025760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14057083377792).

10040582025760 is an abundant number, since it is smaller than the sum of its proper divisors (18073584729824).

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

10040582025760 is a wasteful number, since it uses less digits than its factorization.

10040582025760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8796 (or 8788 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 40.

The spelling of 10040582025760 in words is "ten trillion, forty billion, five hundred eighty-two million, twenty-five thousand, seven hundred sixty".