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42222644152 = 23131038214801
BaseRepresentation
bin100111010100101010…
…100110101110111000
311000222120100120002021
4213110222212232320
51142432444103102
631221413444224
73023213360623
oct472452465670
9130876316067
1042222644152
11169a7644537
128224340674
133c9b6b1a10
142087860dba
151171bc8137
hex9d4aa6bb8

42222644152 has 64 divisors (see below), whose sum is σ = 86207808960. Its totient is φ = 19270656000.

The previous prime is 42222644143. The next prime is 42222644203. The reversal of 42222644152 is 25144622224.

It is a happy number.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8792152 + ... + 8796952.

It is an arithmetic number, because the mean of its divisors is an integer number (1346997015).

Almost surely, 242222644152 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 42222644152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43103904480).

42222644152 is an abundant number, since it is smaller than the sum of its proper divisors (43985164808).

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

42222644152 is a wasteful number, since it uses less digits than its factorization.

42222644152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5744 (or 5740 counting only the distinct ones).

The product of its digits is 61440, while the sum is 34.

The spelling of 42222644152 in words is "forty-two billion, two hundred twenty-two million, six hundred forty-four thousand, one hundred fifty-two".

Divisors: 1 2 4 8 13 26 52 103 104 206 412 821 824 1339 1642 2678 3284 4801 5356 6568 9602 10673 10712 19204 21346 38408 42692 62413 84563 85384 124826 169126 249652 338252 494503 499304 676504 989006 1099319 1978012 2198638 3941621 3956024 4397276 6428539 7883242 8794552 12857078 15766484 25714156 31532968 51241073 51428312 102482146 204964292 405986963 409928584 811973926 1623947852 3247895704 5277830519 10555661038 21111322076 42222644152