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9242946920 = 2351761443503
BaseRepresentation
bin10001001101110110…
…00010110101101000
3212212011020100112102
420212323002311220
5122412143300140
64125100232532
7445022516054
oct104673026550
925764210472
109242946920
113a13447909
12195b53b748
13b43bc357c
146397b6c64
153916bae15
hex226ec2d68

9242946920 has 128 divisors (see below), whose sum is σ = 22476061440. Its totient is φ = 3408138240.

The previous prime is 9242946917. The next prime is 9242946931. The reversal of 9242946920 is 296492429.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18375389 + ... + 18375891.

It is an arithmetic number, because the mean of its divisors is an integer number (175594230).

Almost surely, 29242946920 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 9242946920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11238030720).

9242946920 is an abundant number, since it is smaller than the sum of its proper divisors (13233114520).

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

9242946920 is a wasteful number, since it uses less digits than its factorization.

9242946920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1035 (or 1031 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 47.

The square root of 9242946920 is about 96140.2460991233. The cubic root of 9242946920 is about 2098.6345560538.

The spelling of 9242946920 in words is "nine billion, two hundred forty-two million, nine hundred forty-six thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 61 68 85 122 136 170 244 305 340 443 488 503 610 680 886 1006 1037 1220 1772 2012 2074 2215 2440 2515 3544 4024 4148 4430 5030 5185 7531 8296 8551 8860 10060 10370 15062 17102 17720 20120 20740 27023 30124 30683 34204 37655 41480 42755 54046 60248 61366 68408 75310 85510 108092 122732 135115 150620 153415 171020 216184 222829 245464 270230 301240 306830 342040 445658 459391 521611 540460 613660 891316 918782 1043222 1080920 1114145 1227320 1782632 1837564 2086444 2228290 2296955 2608055 3675128 3788093 4172888 4456580 4593910 5216110 7576186 8913160 9187820 10432220 13592569 15152372 18375640 18940465 20864440 27185138 30304744 37880930 54370276 67962845 75761860 108740552 135925690 151523720 231073673 271851380 462147346 543702760 924294692 1155368365 1848589384 2310736730 4621473460 9242946920