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9250072880 = 2451012514561
BaseRepresentation
bin10001001110101100…
…01110100100110000
3212212122122101111212
420213112032210300
5122421004313010
64125513055252
7445140215336
oct104726164460
925778571455
109250072880
113a17474734
1219619b7528
13b45519c09
1463a70db56
15392127505
hex22758e930

9250072880 has 80 divisors (see below), whose sum is σ = 21810666528. Its totient is φ = 3648000000.

The previous prime is 9250072873. The next prime is 9250072883. The reversal of 9250072880 is 882700529.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×92500728802 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (9250072883) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2025800 + ... + 2030360.

Almost surely, 29250072880 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 9250072880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10905333264).

9250072880 is an abundant number, since it is smaller than the sum of its proper divisors (12560593648).

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

9250072880 is a wasteful number, since it uses less digits than its factorization.

9250072880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4926 (or 4920 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 41.

The square root of 9250072880 is about 96177.2991926889. The cubic root of 9250072880 is about 2099.1737399485.

The spelling of 9250072880 in words is "nine billion, two hundred fifty million, seventy-two thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 101 202 251 404 502 505 808 1004 1010 1255 1616 2008 2020 2510 4016 4040 4561 5020 8080 9122 10040 18244 20080 22805 25351 36488 45610 50702 72976 91220 101404 126755 182440 202808 253510 364880 405616 460661 507020 921322 1014040 1144811 1842644 2028080 2289622 2303305 3685288 4579244 4606610 5724055 7370576 9158488 9213220 11448110 18316976 18426440 22896220 36852880 45792440 91584880 115625911 231251822 462503644 578129555 925007288 1156259110 1850014576 2312518220 4625036440 9250072880