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8942146038 = 233761794909
BaseRepresentation
bin10000101001111111…
…00101000111110110
3212002012020002022000
420110333211013312
5121303142133123
64035153120130
7434410662420
oct102477450766
925065202260
108942146038
113879676741
121896859046
13ac67a5097
1460b875810
1537509eb43
hex214fe51f6

8942146038 has 128 divisors (see below), whose sum is σ = 23379456000. Its totient is φ = 2480699520.

The previous prime is 8942145983. The next prime is 8942146133. The reversal of 8942146038 is 8306412498.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 8942145984 and 8942146002.

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 63 ways as a sum of consecutive naturals, for example, 1819128 + ... + 1824036.

It is an arithmetic number, because the mean of its divisors is an integer number (182652000).

Almost surely, 28942146038 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8942146038, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11689728000).

8942146038 is an abundant number, since it is smaller than the sum of its proper divisors (14437309962).

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

8942146038 is a wasteful number, since it uses less digits than its factorization.

8942146038 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5067 (or 5061 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 8942146038 is about 94562.9210525986. The cubic root of 8942146038 is about 2075.6171610191.

The spelling of 8942146038 in words is "eight billion, nine hundred forty-two million, one hundred forty-six thousand, thirty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 61 63 79 122 126 158 183 189 237 366 378 427 474 549 553 711 854 1098 1106 1281 1422 1647 1659 2133 2562 3294 3318 3843 4266 4819 4909 4977 7686 9638 9818 9954 11529 14457 14727 14931 23058 28914 29454 29862 33733 34363 43371 44181 67466 68726 86742 88362 101199 103089 130113 132543 202398 206178 260226 265086 299449 303597 309267 387811 598898 607194 618534 775622 898347 910791 927801 1163433 1796694 1821582 1855602 2096143 2326866 2695041 2714677 3490299 4192286 5390082 5429354 6288429 6980598 8085123 8144031 10470897 12576858 16170246 16288062 18865287 20941794 23656471 24432093 37730574 47312942 48864186 56595861 70969413 73296279 113191722 141938826 146592558 165595297 212908239 331190594 425816478 496785891 638724717 993571782 1277449434 1490357673 2980715346 4471073019 8942146038