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162950066960 = 245231392712351
BaseRepresentation
bin1001011111000010010…
…1001011001100010000
3120120121021022002002012
42113300211023030100
510132210204120320
6202505213242052
714526024500342
oct2276045131420
9516537262065
10162950066960
116311a07912a
12276b7793328
131249b4ba385
147c5b63d292
15438a96b4c5
hex25f094b310

162950066960 has 160 divisors (see below), whose sum is σ = 399814410240. Its totient is φ = 61642944000.

The previous prime is 162950066941. The next prime is 162950066999. The reversal of 162950066960 is 69660059261.

It is a junction number, because it is equal to n+sod(n) for n = 162950066899 and 162950066908.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 69309785 + ... + 69312135.

It is an arithmetic number, because the mean of its divisors is an integer number (2498840064).

Almost surely, 2162950066960 is an apocalyptic number.

162950066960 is a gapful number since it is divisible by the number (10) 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 162950066960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199907205120).

162950066960 is an abundant number, since it is smaller than the sum of its proper divisors (236864343280).

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

162950066960 is a wasteful number, since it uses less digits than its factorization.

162950066960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2797 (or 2791 counting only the distinct ones).

The product of its (nonzero) digits is 1049760, while the sum is 50.

The spelling of 162950066960 in words is "one hundred sixty-two billion, nine hundred fifty million, sixty-six thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 80 92 115 139 184 230 271 278 368 460 542 556 695 920 1084 1112 1355 1390 1840 2168 2224 2351 2710 2780 3197 4336 4702 5420 5560 6233 6394 9404 10840 11120 11755 12466 12788 15985 18808 21680 23510 24932 25576 31165 31970 37616 37669 47020 49864 51152 54073 62330 63940 75338 94040 99728 108146 124660 127880 150676 188080 188345 216292 249320 255760 270365 301352 326789 376690 432584 498640 540730 602704 637121 653578 753380 865168 866387 1081460 1274242 1307156 1506760 1633945 1732774 2162920 2548484 2614312 3013520 3185605 3267890 3465548 4325840 4331935 5096968 5228624 6371210 6535780 6931096 7516147 8663870 10193936 12742420 13071560 13862192 14653783 15032294 17327740 25484840 26143120 29307566 30064588 34655480 37580735 50969680 58615132 60129176 69310960 73268915 75161470 88559819 117230264 120258352 146537830 150322940 177119638 234460528 293075660 300645880 354239276 442799095 586151320 601291760 708478552 885598190 1172302640 1416957104 1771196380 2036875837 3542392760 4073751674 7084785520 8147503348 10184379185 16295006696 20368758370 32590013392 40737516740 81475033480 162950066960