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10168360944 = 2437291935407
BaseRepresentation
bin10010111100001010…
…01101111111110000
3222020122120020220220
421132011031333300
5131311100022234
64400555133040
7506660433120
oct113605157760
928218506826
1010168360944
114348858095
121b79444180
13c60847731
146c666ac80
153e7a67a49
hex25e14dff0

10168360944 has 160 divisors (see below), whose sum is σ = 31222763520. Its totient is φ = 2790014976.

The previous prime is 10168360903. The next prime is 10168360949. The reversal of 10168360944 is 44906386101.

It is a super-2 number, since 2×101683609442 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 10168360896 and 10168360905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10168360949) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1877889 + ... + 1883295.

It is an arithmetic number, because the mean of its divisors is an integer number (195142272).

Almost surely, 210168360944 is an apocalyptic number.

10168360944 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10168360944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15611381760).

10168360944 is an abundant number, since it is smaller than the sum of its proper divisors (21054402576).

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

10168360944 is a wasteful number, since it uses less digits than its factorization.

10168360944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5647 (or 5641 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The spelling of 10168360944 in words is "ten billion, one hundred sixty-eight million, three hundred sixty thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 29 42 48 56 58 84 87 112 116 168 174 193 203 232 336 348 386 406 464 579 609 696 772 812 1158 1218 1351 1392 1544 1624 2316 2436 2702 3088 3248 4053 4632 4872 5404 5407 5597 8106 9264 9744 10808 10814 11194 16212 16221 16791 21616 21628 22388 32424 32442 33582 37849 39179 43256 44776 64848 64884 67164 75698 78358 86512 89552 113547 117537 129768 134328 151396 156716 156803 227094 235074 259536 268656 302792 313432 313606 454188 470148 470409 605584 626864 627212 908376 940296 940818 1043551 1097621 1254424 1816752 1880592 1881636 2087102 2195242 2508848 3130653 3292863 3763272 4174204 4390484 6261306 6585726 7304857 7526544 8348408 8780968 12522612 13171452 14609714 16696816 17561936 21914571 25045224 26342904 29219428 30262979 43829142 50090448 52685808 58438856 60525958 87658284 90788937 116877712 121051916 175316568 181577874 211840853 242103832 350633136 363155748 423681706 484207664 635522559 726311496 847363412 1271045118 1452622992 1694726824 2542090236 3389453648 5084180472 10168360944