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9124007472 = 2432671317219
BaseRepresentation
bin10000111111101010…
…10100111000110000
3212112212102121021200
420133311110320300
5122141221214342
64105211051200
7442046532606
oct103765247060
925485377250
109124007472
11396229a948
121927740b00
13b2537b2b8
14627a95876
1538602494c
hex21fd54e30

9124007472 has 120 divisors (see below), whose sum is σ = 26117108160. Its totient is φ = 2972661120.

The previous prime is 9124007449. The next prime is 9124007507. The reversal of 9124007472 is 2747004219.

9124007472 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×91240074722 (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1260279 + ... + 1267497.

It is an arithmetic number, because the mean of its divisors is an integer number (217642568).

Almost surely, 29124007472 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 9124007472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13058554080).

9124007472 is an abundant number, since it is smaller than the sum of its proper divisors (16993100688).

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

9124007472 is a wasteful number, since it uses less digits than its factorization.

9124007472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7431 (or 7422 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 9124007472 is about 95519.6706024471. The cubic root of 9124007472 is about 2089.5938308558.

The spelling of 9124007472 in words is "nine billion, one hundred twenty-four million, seven thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 67 72 131 134 144 201 262 268 393 402 524 536 603 786 804 1048 1072 1179 1206 1572 1608 2096 2358 2412 3144 3216 4716 4824 6288 7219 8777 9432 9648 14438 17554 18864 21657 26331 28876 35108 43314 52662 57752 64971 70216 78993 86628 105324 115504 129942 140432 157986 173256 210648 259884 315972 346512 421296 483673 519768 631944 945689 967346 1039536 1263888 1451019 1891378 1934692 2837067 2902038 3782756 3869384 4353057 5674134 5804076 7565512 7738768 8511201 8706114 11348268 11608152 15131024 17022402 17412228 22696536 23216304 34044804 34824456 45393072 63361163 68089608 69648912 126722326 136179216 190083489 253444652 380166978 506889304 570250467 760333956 1013778608 1140500934 1520667912 2281001868 3041335824 4562003736 9124007472