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42346822896 = 2433722961151
BaseRepresentation
bin100111011100000100…
…010011110011110000
311001022020000111022000
4213130010103303300
51143211241313041
631242011214000
73026252025030
oct473404236360
9131266014260
1042346822896
1116a6074a8a4
128259a47300
133cbb33c971
14209a1478c0
15117ca56bb6
hex9dc113cf0

42346822896 has 160 divisors (see below), whose sum is σ = 139524403200. Its totient is φ = 12046060800.

The previous prime is 42346822891. The next prime is 42346822897. The reversal of 42346822896 is 69822864324.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42346822891) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 661921 + ... + 723071.

It is an arithmetic number, because the mean of its divisors is an integer number (872027520).

Almost surely, 242346822896 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 42346822896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69762201600).

42346822896 is an abundant number, since it is smaller than the sum of its proper divisors (97177580304).

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

42346822896 is a wasteful number, since it uses less digits than its factorization.

42346822896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61404 (or 61392 counting only the distinct ones).

The product of its digits is 7962624, while the sum is 54.

The spelling of 42346822896 in words is "forty-two billion, three hundred forty-six million, eight hundred twenty-two thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 229 252 336 378 432 458 504 687 756 916 1008 1374 1512 1603 1832 2061 2748 3024 3206 3664 4122 4809 5496 6183 6412 8244 9618 10992 12366 12824 14427 16488 19236 24732 25648 28854 32976 38472 43281 49464 57708 61151 76944 86562 98928 115416 122302 173124 183453 230832 244604 346248 366906 428057 489208 550359 692496 733812 856114 978416 1100718 1284171 1467624 1651077 1712228 2201436 2568342 2935248 3302154 3424456 3852513 4402872 5136684 6604308 6848912 7705026 8805744 10273368 11557539 13208616 14003579 15410052 20546736 23115078 26417232 28007158 30820104 42010737 46230156 56014316 61640208 84021474 92460312 98025053 112028632 126032211 168042948 184920624 196050106 224057264 252064422 294075159 336085896 378096633 392100212 504128844 588150318 672171792 756193266 784200424 882225477 1008257688 1176300636 1512386532 1568400848 1764450954 2016515376 2352601272 2646676431 3024773064 3528901908 4705202544 5293352862 6049546128 7057803816 10586705724 14115607632 21173411448 42346822896