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9945576340 = 2257711576373
BaseRepresentation
bin10010100001100110…
…10111001110010100
3221200010100121220021
421100303113032110
5130332031420330
64322520114524
7501314001250
oct112063271624
927603317807
109945576340
114244022787
121b16905a44
13c2664371b
146a4c37260
153d320c67a
hex250cd7394

9945576340 has 96 divisors (see below), whose sum is σ = 24363569664. Its totient is φ = 3339947520.

The previous prime is 9945576337. The next prime is 9945576359. The reversal of 9945576340 is 436755499.

It is a happy number.

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, 1557394 + ... + 1563766.

It is an arithmetic number, because the mean of its divisors is an integer number (253787184).

Almost surely, 29945576340 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 9945576340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12181784832).

9945576340 is an abundant number, since it is smaller than the sum of its proper divisors (14417993324).

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

9945576340 is a wasteful number, since it uses less digits than its factorization.

9945576340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6617 (or 6615 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 52.

The square root of 9945576340 is about 99727.5104472181. The cubic root of 9945576340 is about 2150.5191708194.

The spelling of 9945576340 in words is "nine billion, nine hundred forty-five million, five hundred seventy-six thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 71 140 142 157 284 314 355 497 628 710 785 994 1099 1420 1570 1988 2198 2485 3140 4396 4970 5495 6373 9940 10990 11147 12746 21980 22294 25492 31865 44588 44611 55735 63730 78029 89222 111470 127460 156058 178444 222940 223055 312116 390145 446110 452483 780290 892220 904966 1000561 1560580 1809932 2001122 2262415 3167381 4002244 4524830 5002805 6334762 7003927 9049660 10005610 12669524 14007854 15836905 20011220 28015708 31673810 35019635 63347620 70039270 71039831 140078540 142079662 284159324 355199155 497278817 710398310 994557634 1420796620 1989115268 2486394085 4972788170 9945576340