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162857062968 = 233291012419613
BaseRepresentation
bin1001011110101100001…
…0011001001000111000
3120120100210021222120220
42113223002121020320
510132012402003333
6202452052020040
714523515123565
oct2275302311070
9516323258526
10162857062968
1163081625926
1227690601620
1312485156022
147c4d14d86c
1543826e98b3
hex25eb099238

162857062968 has 128 divisors (see below), whose sum is σ = 427161556800. Its totient is φ = 51674112000.

The previous prime is 162857062943. The next prime is 162857063009. The reversal of 162857062968 is 869260758261.

It is a congruent number.

It is an unprimeable number.

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, 16936530 + ... + 16946142.

Almost surely, 2162857062968 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 162857062968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213580778400).

162857062968 is an abundant number, since it is smaller than the sum of its proper divisors (264304493832).

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

162857062968 is a wasteful number, since it uses less digits than its factorization.

162857062968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9993 (or 9989 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 60.

The spelling of 162857062968 in words is "one hundred sixty-two billion, eight hundred fifty-seven million, sixty-two thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 24 29 58 87 101 116 174 202 232 241 303 348 404 482 606 696 723 808 964 1212 1446 1928 2424 2892 2929 5784 5858 6989 8787 9613 11716 13978 17574 19226 20967 23432 24341 27956 28839 35148 38452 41934 48682 55912 57678 70296 73023 76904 83868 97364 115356 146046 167736 194728 230712 278777 292092 557554 584184 705889 836331 970913 1115108 1411778 1672662 1941826 2117667 2230216 2316733 2823556 2912739 3345324 3883652 4235334 4633466 5647112 5825478 6690648 6950199 7767304 8470668 9266932 11650956 13900398 16941336 18533864 23301912 27800796 28156477 55601592 56312954 67185257 84469431 112625908 134370514 168938862 201555771 225251816 233990033 268741028 337877724 403111542 467980066 537482056 675755448 701970099 806223084 935960132 1403940198 1612446168 1871920264 2807880396 5615760792 6785710957 13571421914 20357132871 27142843828 40714265742 54285687656 81428531484 162857062968