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9065121024 = 28343313877
BaseRepresentation
bin10000111000101001…
…01100010100000000
3212101202121212021010
420130110230110000
5122031132333044
64055305000520
7440433154161
oct103424542400
925352555233
109065121024
11393202a663
12190ba83140
13b1610114b
1461dd27768
15380c91bb9
hex21c52c500

9065121024 has 144 divisors (see below), whose sum is σ = 24794635712. Its totient is φ = 2938650624.

The previous prime is 9065121011. The next prime is 9065121059. The reversal of 9065121024 is 4201215609.

It is a junction number, because it is equal to n+sod(n) for n = 9065120982 and 9065121000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10336074 + ... + 10336950.

Almost surely, 29065121024 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 9065121024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12397317856).

9065121024 is an abundant number, since it is smaller than the sum of its proper divisors (15729514688).

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

9065121024 is a wasteful number, since it uses less digits than its factorization.

9065121024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1252 (or 1238 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 9065121024 is about 95210.9291205584. The cubic root of 9065121024 is about 2085.0887040800.

The spelling of 9065121024 in words is "nine billion, sixty-five million, one hundred twenty-one thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 64 86 96 128 129 172 192 256 258 313 344 384 516 626 688 768 877 939 1032 1252 1376 1754 1878 2064 2504 2631 2752 3508 3756 4128 5008 5262 5504 7016 7512 8256 10016 10524 11008 13459 14032 15024 16512 20032 21048 26918 28064 30048 33024 37711 40064 40377 42096 53836 56128 60096 75422 80128 80754 84192 107672 112256 113133 120192 150844 161508 168384 215344 224512 226266 240384 274501 301688 323016 336768 430688 452532 549002 603376 646032 673536 823503 861376 905064 1098004 1206752 1292064 1647006 1722752 1810128 2196008 2413504 2584128 3294012 3445504 3620256 4392016 4827008 5168256 6588024 7240512 8784032 9654016 10336512 11803543 13176048 14481024 17568064 23607086 26352096 28962048 35136128 35410629 47214172 52704192 70272256 70821258 94428344 105408384 141642516 188856688 210816768 283285032 377713376 566570064 755426752 1133140128 1510853504 2266280256 3021707008 4532560512 9065121024