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42223545216 = 27344394709
BaseRepresentation
bin100111010100101110…
…000010101110000000
311000222122001100010000
4213110232002232000
51142433211421331
631221445040000
73023224132626
oct472456025600
9130878040100
1042223545216
11169a80aa516
1282246b6000
133c9b938ba8
142087a17516
151171d050e6
hex9d4b82b80

42223545216 has 160 divisors (see below), whose sum is σ = 128580190200. Its totient is φ = 13747055616.

The previous prime is 42223545211. The next prime is 42223545229. The reversal of 42223545216 is 61254532224.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42223545211) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 398470 + ... + 493178.

Almost surely, 242223545216 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 42223545216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64290095100).

42223545216 is an abundant number, since it is smaller than the sum of its proper divisors (86356644984).

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

42223545216 is an equidigital number, since it uses as much as digits as its factorization.

42223545216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94778 (or 94757 counting only the distinct ones).

The product of its digits is 115200, while the sum is 36.

The spelling of 42223545216 in words is "forty-two billion, two hundred twenty-three million, five hundred forty-five thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 43 48 54 64 72 81 86 96 108 128 129 144 162 172 192 216 258 288 324 344 384 387 432 516 576 648 688 774 864 1032 1152 1161 1296 1376 1548 1728 2064 2322 2592 2752 3096 3456 3483 4128 4644 5184 5504 6192 6966 8256 9288 10368 12384 13932 16512 18576 24768 27864 37152 49536 55728 74304 94709 111456 148608 189418 222912 284127 378836 445824 568254 757672 852381 1136508 1515344 1704762 2273016 2557143 3030688 3409524 4072487 4546032 5114286 6061376 6819048 7671429 8144974 9092064 10228572 12122752 12217461 13638096 15342858 16289948 18184128 20457144 24434922 27276192 30685716 32579896 36368256 36652383 40914288 48869844 54552384 61371432 65159792 73304766 81828576 97739688 109104768 109957149 122742864 130319584 146609532 163657152 195479376 219914298 245485728 260639168 293219064 327314304 329871447 390958752 439828596 490971456 521278336 586438128 659742894 781917504 879657192 981942912 1172876256 1319485788 1563835008 1759314384 2345752512 2638971576 3518628768 4691505024 5277943152 7037257536 10555886304 14074515072 21111772608 42223545216