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3867222968 = 2371731592221
BaseRepresentation
bin1110011010000001…
…0010001110111000
3100222111212021121022
43212200102032320
530410002113333
61435424002012
7164555565350
oct34640221670
910874767538
103867222968
111704a45944
128bb160308
13498272c1b
1428986db60
15179798c98
hexe68123b8

3867222968 has 128 divisors (see below), whose sum is σ = 9215078400. Its totient is φ = 1483315200.

The previous prime is 3867222949. The next prime is 3867222971. The reversal of 3867222968 is 8692227683.

It is a Cunningham number, because it is equal to 621872-1.

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, 1740098 + ... + 1742318.

It is an arithmetic number, because the mean of its divisors is an integer number (71992800).

Almost surely, 23867222968 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 3867222968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4607539200).

3867222968 is an abundant number, since it is smaller than the sum of its proper divisors (5347855432).

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

3867222968 is a wasteful number, since it uses less digits than its factorization.

3867222968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2341 (or 2337 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 53.

The square root of 3867222968 is about 62186.9999919597. Note that the first 5 decimals coincide. The cubic root of 3867222968 is about 1569.6388431852.

The spelling of 3867222968 in words is "three billion, eight hundred sixty-seven million, two hundred twenty-two thousand, nine hundred sixty-eight".

Divisors: 1 2 4 7 8 14 17 28 31 34 56 59 62 68 118 119 124 136 217 236 238 248 413 434 472 476 527 826 868 952 1003 1054 1652 1736 1829 2006 2108 2221 3304 3658 3689 4012 4216 4442 7021 7316 7378 8024 8884 12803 14042 14632 14756 15547 17768 25606 28084 29512 31093 31094 37757 51212 56168 62186 62188 68851 75514 102424 124372 124376 131039 137702 151028 217651 248744 262078 264299 275404 302056 435302 481957 524156 528598 550808 870604 917273 963914 1048312 1057196 1170467 1741208 1834546 1927828 2114392 2227663 2340934 3669092 3855656 4062209 4455326 4681868 7338184 8124418 8193269 8910652 9363736 15593641 16248836 16386538 17821304 28435463 31187282 32497672 32773076 56870926 62374564 65546152 69057553 113741852 124749128 138115106 227483704 276230212 483402871 552460424 966805742 1933611484 3867222968