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9056079972 = 223219312391787
BaseRepresentation
bin10000110111100100…
…01101000001100100
3212101010121112021100
420123302031001210
5122021324024342
64054343120100
7440263260342
oct103362150144
925333545240
109056079972
113927a14a15
121908a43030
13b14286c04
1461ca52992
153800a7e4c
hex21bc8d064

9056079972 has 144 divisors (see below), whose sum is σ = 24991948800. Its totient is φ = 2754440640.

The previous prime is 9056079937. The next prime is 9056079983. The reversal of 9056079972 is 2799706509.

9056079972 is a `hidden beast` number, since 9 + 0 + 560 + 7 + 9 + 9 + 72 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5066863 + ... + 5068649.

It is an arithmetic number, because the mean of its divisors is an integer number (173555200).

Almost surely, 29056079972 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 9056079972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12495974400).

9056079972 is an abundant number, since it is smaller than the sum of its proper divisors (15935868828).

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

9056079972 is a wasteful number, since it uses less digits than its factorization.

9056079972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2086 (or 2081 counting only the distinct ones).

The product of its (nonzero) digits is 2143260, while the sum is 54.

The square root of 9056079972 is about 95163.4382102707. The cubic root of 9056079972 is about 2084.3952893263.

The spelling of 9056079972 in words is "nine billion, fifty-six million, seventy-nine thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 19 31 36 38 57 62 76 93 114 124 171 186 228 239 279 342 372 478 558 589 684 717 956 1116 1178 1434 1767 1787 2151 2356 2868 3534 3574 4302 4541 5301 5361 7068 7148 7409 8604 9082 10602 10722 13623 14818 16083 18164 21204 21444 22227 27246 29636 32166 33953 40869 44454 54492 55397 64332 66681 67906 81738 88908 101859 110794 133362 135812 140771 163476 166191 203718 221588 266724 281542 305577 332382 407436 422313 427093 498573 563084 611154 664764 844626 854186 997146 1052543 1222308 1266939 1281279 1689252 1708372 1994292 2105086 2533878 2562558 3157629 3843837 4210172 5067756 5125116 6315258 7687674 8114767 9472887 12630516 13239883 15375348 16229534 18945774 24344301 26479766 32459068 37891548 39719649 48688602 52959532 73032903 79439298 97377204 119158947 146065806 158878596 238317894 251557777 292131612 476635788 503115554 754673331 1006231108 1509346662 2264019993 3018693324 4528039986 9056079972