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10320711168 = 293292231039
BaseRepresentation
bin10011001110010100…
…11000111000000000
3222122021020110010210
421213022120320000
5132114100224133
64424040354120
7513520411635
oct114712307000
928567213123
1010320711168
114416855069
122000475940
13c8628a2b1
146dc9a818c
1540610d763
hex267298e00

10320711168 has 160 divisors (see below), whose sum is σ = 28598169600. Its totient is φ = 3303530496.

The previous prime is 10320711161. The next prime is 10320711173. The reversal of 10320711168 is 86111702301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10320711161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9932793 + ... + 9933831.

It is an arithmetic number, because the mean of its divisors is an integer number (178738560).

Almost surely, 210320711168 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 10320711168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14299084800).

10320711168 is an abundant number, since it is smaller than the sum of its proper divisors (18277458432).

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

10320711168 is a wasteful number, since it uses less digits than its factorization.

10320711168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1312 (or 1296 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 30.

The spelling of 10320711168 in words is "ten billion, three hundred twenty million, seven hundred eleven thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 128 174 192 223 232 256 348 384 446 464 512 669 696 768 892 928 1039 1338 1392 1536 1784 1856 2078 2676 2784 3117 3568 3712 4156 5352 5568 6234 6467 7136 7424 8312 10704 11136 12468 12934 14272 14848 16624 19401 21408 22272 24936 25868 28544 30131 33248 38802 42816 44544 49872 51736 57088 60262 66496 77604 85632 90393 99744 103472 114176 120524 132992 155208 171264 180786 199488 206944 231697 241048 265984 310416 342528 361572 398976 413888 463394 482096 531968 620832 695091 723144 797952 827776 926788 964192 1241664 1390182 1446288 1595904 1655552 1853576 1928384 2483328 2780364 2892576 3311104 3707152 3856768 4966656 5560728 5785152 6719213 7414304 7713536 9933312 11121456 11570304 13438426 14828608 15427072 20157639 22242912 23140608 26876852 29657216 40315278 44485824 46281216 53753704 59314432 80630556 88971648 107507408 118628864 161261112 177943296 215014816 322522224 355886592 430029632 645044448 860059264 1290088896 1720118528 2580177792 3440237056 5160355584 10320711168