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10041391360 = 2857111317461
BaseRepresentation
bin10010101101000001…
…10111100100000000
3221220210122112101201
421112200313210000
5131031044010420
64340221510544
7503556263320
oct112640674400
927823575351
1010041391360
114293115a50
121b42a12454
13c404503c0
146b3859280
153db83710a
hex256837900

10041391360 has 576 divisors, whose sum is σ = 34267774464. Its totient is φ = 2713190400.

The previous prime is 10041391333. The next prime is 10041391363. The reversal of 10041391360 is 6319314001.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (10041391363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21781530 + ... + 21781990.

It is an arithmetic number, because the mean of its divisors is an integer number (59492664).

Almost surely, 210041391360 is an apocalyptic number.

10041391360 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 10041391360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17133887232).

10041391360 is an abundant number, since it is smaller than the sum of its proper divisors (24226383104).

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

10041391360 is a wasteful number, since it uses less digits than its factorization.

10041391360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 28.

The spelling of 10041391360 in words is "ten billion, forty-one million, three hundred ninety-one thousand, three hundred sixty".