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11072263680 = 29335198431
BaseRepresentation
bin10100100111111010…
…10101011000000000
31001120122102021101000
422103331111120000
5140133444414210
65030405012000
7541244455062
oct122375253000
931518367330
1011072263680
114772005645
1221900b4000
131075ba961a
14770721732
1544c0b5ac0
hex293f55600

11072263680 has 320 divisors, whose sum is σ = 41404492800. Its totient is φ = 2796871680.

The previous prime is 11072263679. The next prime is 11072263681. The reversal of 11072263680 is 8636227011.

11072263680 is a `hidden beast` number, since 1 + 10 + 7 + 2 + 2 + 636 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (11072263679) and next prime (11072263681).

It is a tau number, because it is divible by the number of its divisors (320).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11072263681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1309065 + ... + 1317495.

It is an arithmetic number, because the mean of its divisors is an integer number (129389040).

Almost surely, 211072263680 is an apocalyptic number.

11072263680 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 11072263680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20702246400).

11072263680 is an abundant number, since it is smaller than the sum of its proper divisors (30332229120).

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

11072263680 is an equidigital number, since it uses as much as digits as its factorization.

11072263680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8482 (or 8460 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 11072263680 in words is "eleven billion, seventy-two million, two hundred sixty-three thousand, six hundred eighty".