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5010668160 = 273512720549
BaseRepresentation
bin1001010101010100…
…01011101010000000
3110221012110022112020
410222222023222000
540230212340120
62145112001440
7235111655661
oct45252135200
913835408466
105010668160
112141434173
12b7a090280
1361b125604
1435767b368
151e4d62640
hex12aa8ba80

5010668160 has 128 divisors (see below), whose sum is σ = 16098048000. Its totient is φ = 1325592576.

The previous prime is 5010668153. The next prime is 5010668189. The reversal of 5010668160 is 618660105.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

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, 233566 + ... + 254114.

It is an arithmetic number, because the mean of its divisors is an integer number (125766000).

Almost surely, 25010668160 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 5010668160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8049024000).

5010668160 is an abundant number, since it is smaller than the sum of its proper divisors (11087379840).

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

5010668160 is a wasteful number, since it uses less digits than its factorization.

5010668160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20698 (or 20686 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 5010668160 is about 70786.0732065284. The cubic root of 5010668160 is about 1711.1912358924.

The spelling of 5010668160 in words is "five billion, ten million, six hundred sixty-eight thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 127 128 160 192 240 254 320 381 384 480 508 635 640 762 960 1016 1270 1524 1905 1920 2032 2540 3048 3810 4064 5080 6096 7620 8128 10160 12192 15240 16256 20320 20549 24384 30480 40640 41098 48768 60960 61647 81280 82196 102745 121920 123294 164392 205490 243840 246588 308235 328784 410980 493176 616470 657568 821960 986352 1232940 1315136 1643920 1972704 2465880 2609723 2630272 3287840 3945408 4931760 5219446 6575680 7829169 7890816 9863520 10438892 13048615 13151360 15658338 19727040 20877784 26097230 31316676 39145845 39454080 41755568 52194460 62633352 78291690 83511136 104388920 125266704 156583380 167022272 208777840 250533408 313166760 334044544 417555680 501066816 626333520 835111360 1002133632 1252667040 1670222720 2505334080 5010668160