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9091042048 = 281117318661
BaseRepresentation
bin10000111011101111…
…00100101100000000
3212110120101210020001
420131313210230000
5122104301321143
64102032325344
7441166403524
oct103567445400
925416353201
109091042048
1139457244a0
1219186a3854
13b1b5a862a
14623553d84
153831b214d
hex21dde4b00

9091042048 has 72 divisors (see below), whose sum is σ = 19911756816. Its totient is φ = 4108185600.

The previous prime is 9091042021. The next prime is 9091042049. The reversal of 9091042048 is 8402401909.

It is a happy number.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 9091041998 and 9091042016.

It is not an unprimeable number, because it can be changed into a prime (9091042049) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 477838 + ... + 496498.

It is an arithmetic number, because the mean of its divisors is an integer number (276552178).

Almost surely, 29091042048 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 9091042048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9955878408).

9091042048 is an abundant number, since it is smaller than the sum of its proper divisors (10820714768).

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

9091042048 is a wasteful number, since it uses less digits than its factorization.

9091042048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18861 (or 18847 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 37.

The square root of 9091042048 is about 95346.9561548768. The cubic root of 9091042048 is about 2087.0741970055.

The spelling of 9091042048 in words is "nine billion, ninety-one million, forty-two thousand, forty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 173 176 256 346 352 692 704 1384 1408 1903 2768 2816 3806 5536 7612 11072 15224 18661 22144 30448 37322 44288 60896 74644 121792 149288 205271 243584 298576 410542 487168 597152 821084 1194304 1642168 2388608 3228353 3284336 4777216 6456706 6568672 12913412 13137344 25826824 26274688 35511883 51653648 52549376 71023766 103307296 142047532 206614592 284095064 413229184 568190128 826458368 1136380256 2272760512 4545521024 9091042048