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10342555146 = 234731116921
BaseRepresentation
bin10011010000111011…
…01101111000001010
3222200210100020110000
421220131231320022
5132140143231041
64430140503430
7514204161000
oct115035557012
928623306400
1010342555146
114428114840
12200784ab76
13c8a967b21
14701852a70
15407ec5bb6
hex26876de0a

10342555146 has 160 divisors (see below), whose sum is σ = 29484892800. Its totient is φ = 2686219200.

The previous prime is 10342555121. The next prime is 10342555147. The reversal of 10342555146 is 64155524301.

10342555146 is a `hidden beast` number, since 10 + 34 + 25 + 551 + 46 = 666.

10342555146 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 10342555146.

It is not an unprimeable number, because it can be changed into a prime (10342555147) 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 79 ways as a sum of consecutive naturals, for example, 602766 + ... + 619686.

It is an arithmetic number, because the mean of its divisors is an integer number (184280580).

Almost surely, 210342555146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10342555146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14742446400).

10342555146 is an abundant number, since it is smaller than the sum of its proper divisors (19142337654).

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

10342555146 is a wasteful number, since it uses less digits than its factorization.

10342555146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16967 (or 16944 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 10342555146 in words is "ten billion, three hundred forty-two million, five hundred fifty-five thousand, one hundred forty-six".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 42 49 54 63 66 77 81 98 99 126 147 154 162 189 198 231 294 297 343 378 441 462 539 567 594 686 693 882 891 1029 1078 1134 1323 1386 1617 1782 2058 2079 2646 3087 3234 3773 3969 4158 4851 6174 6237 7546 7938 9261 9702 11319 12474 14553 16921 18522 22638 27783 29106 33842 33957 43659 50763 55566 67914 87318 101526 101871 118447 152289 186131 203742 236894 304578 305613 355341 372262 456867 558393 611226 710682 829129 913734 1066023 1116786 1302917 1370601 1658258 1675179 2132046 2487387 2605834 2741202 3198069 3350358 3908751 4974774 5025537 5803903 6396138 7462161 7817502 9120419 9594207 10051074 11607806 11726253 14924322 15076611 17411709 18240838 19188414 22386483 23452506 27361257 30153222 34823418 35178759 44772966 52235127 54722514 63842933 67159449 70357518 82083771 104470254 105536277 127685866 134318898 156705381 164167542 191528799 211072554 246251313 313410762 383057598 470116143 492502626 574586397 738753939 940232286 1149172794 1477507878 1723759191 3447518382 5171277573 10342555146