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8100913472 = 265322910429
BaseRepresentation
bin1111000101101101…
…00010000101000000
3202220120022001011022
413202312202011000
5113042313212342
63415502405012
7404514425351
oct74266420500
922816261138
108100913472
113487833213
1216a0b90768
139c1416632
1456bc55d28
153262d09d2
hex1e2da2140

8100913472 has 56 divisors (see below), whose sum is σ = 16451656200. Its totient is φ = 3956299776.

The previous prime is 8100913439. The next prime is 8100913481. The reversal of 8100913472 is 2743190018.

It can be written as a sum of positive squares in 4 ways, for example, as 6505390336 + 1595523136 = 80656^2 + 39944^2 .

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 771554 + ... + 781982.

It is an arithmetic number, because the mean of its divisors is an integer number (293779575).

Almost surely, 28100913472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8100913472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8225828100).

8100913472 is an abundant number, since it is smaller than the sum of its proper divisors (8350742728).

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

8100913472 is a wasteful number, since it uses less digits than its factorization.

8100913472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10723 (or 10713 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 35.

The square root of 8100913472 is about 90005.0747013745. The cubic root of 8100913472 is about 2008.3743422551.

The spelling of 8100913472 in words is "eight billion, one hundred million, nine hundred thirteen thousand, four hundred seventy-two".

Divisors: 1 2 4 8 16 32 53 64 106 212 229 424 458 848 916 1696 1832 3392 3664 7328 10429 12137 14656 20858 24274 41716 48548 83432 97096 166864 194192 333728 388384 552737 667456 776768 1105474 2210948 2388241 4421896 4776482 8843792 9552964 17687584 19105928 35375168 38211856 76423712 126576773 152847424 253153546 506307092 1012614184 2025228368 4050456736 8100913472