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9045699312 = 243133312767
BaseRepresentation
bin10000110110010101…
…00110101011110000
3212100102002010200110
420123022212223300
5122011144334222
64053332421320
7440106114126
oct103312465360
925312063613
109045699312
113922074861
121905477840
13b12091000
1461b50d916
1537e20730c
hex21b2a6af0

9045699312 has 160 divisors (see below), whose sum is σ = 26140549120. Its totient is φ = 2692535040.

The previous prime is 9045699301. The next prime is 9045699323. The reversal of 9045699312 is 2139965409.

It is an interprime number because it is at equal distance from previous prime (9045699301) and next prime (9045699323).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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, 3267753 + ... + 3270519.

It is an arithmetic number, because the mean of its divisors is an integer number (163378432).

Almost surely, 29045699312 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 9045699312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13070274560).

9045699312 is an abundant number, since it is smaller than the sum of its proper divisors (17094849808).

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

9045699312 is a wasteful number, since it uses less digits than its factorization.

9045699312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2848 (or 2816 counting only the distinct ones).

The product of its (nonzero) digits is 524880, while the sum is 48.

The square root of 9045699312 is about 95108.8813518485. The cubic root of 9045699312 is about 2083.5985622828.

The spelling of 9045699312 in words is "nine billion, forty-five million, six hundred ninety-nine thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 31 39 48 52 62 78 93 104 124 156 169 186 208 248 312 338 372 403 496 507 624 676 744 806 1014 1209 1352 1488 1612 2028 2197 2418 2704 2767 3224 4056 4394 4836 5239 5534 6448 6591 8112 8301 8788 9672 10478 11068 13182 15717 16602 17576 19344 20956 22136 26364 31434 33204 35152 35971 41912 44272 52728 62868 66408 68107 71942 83824 85777 105456 107913 125736 132816 136214 143884 171554 204321 215826 251472 257331 272428 287768 343108 408642 431652 467623 514662 544856 575536 686216 817284 863304 935246 1029324 1089712 1115101 1372432 1402869 1634568 1726608 1870492 2058648 2230202 2805738 3269136 3345303 3740984 4117296 4460404 5611476 6079099 6690606 7481968 8920808 11222952 12158198 13381212 14496313 17841616 18237297 22445904 24316396 26762424 28992626 36474594 43488939 48632792 53524848 57985252 72949188 86977878 97265584 115970504 145898376 173955756 188452069 231941008 291796752 347911512 376904138 565356207 695823024 753808276 1130712414 1507616552 2261424828 3015233104 4522849656 9045699312