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640137888 = 253213374621
BaseRepresentation
bin100110001001111…
…011101010100000
31122121112101002200
4212021323222200
52302333403023
6143304213200
721602040135
oct4611735240
91577471080
10640137888
112a9383085
1215a46a200
13a2810120
146103458c
153b2ea743
hex2627baa0

640137888 has 144 divisors (see below), whose sum is σ = 2013842376. Its totient is φ = 191600640.

The previous prime is 640137857. The next prime is 640137889. The reversal of 640137888 is 888731046.

It can be written as a sum of positive squares in 4 ways, for example, as 531394704 + 108743184 = 23052^2 + 10428^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (640137889) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 136218 + ... + 140838.

Almost surely, 2640137888 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 640137888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1006921188).

640137888 is an abundant number, since it is smaller than the sum of its proper divisors (1373704488).

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

640137888 is a wasteful number, since it uses less digits than its factorization.

640137888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4687 (or 4676 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 640137888 is about 25300.9463854616. The cubic root of 640137888 is about 861.8357612958.

The spelling of 640137888 in words is "six hundred forty million, one hundred thirty-seven thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 37 39 48 52 72 74 78 96 104 111 117 144 148 156 208 222 234 288 296 312 333 416 444 468 481 592 624 666 888 936 962 1184 1248 1332 1443 1776 1872 1924 2664 2886 3552 3744 3848 4329 4621 5328 5772 7696 8658 9242 10656 11544 13863 15392 17316 18484 23088 27726 34632 36968 41589 46176 55452 60073 69264 73936 83178 110904 120146 138528 147872 166356 170977 180219 221808 240292 332712 341954 360438 443616 480584 512931 540657 665424 683908 720876 961168 1025862 1081314 1330848 1367816 1441752 1538793 1922336 2051724 2162628 2222701 2735632 2883504 3077586 4103448 4325256 4445402 5471264 5767008 6155172 6668103 8206896 8650512 8890804 12310344 13336206 16413792 17301024 17781608 20004309 24620688 26672412 35563216 40008618 49241376 53344824 71126432 80017236 106689648 160034472 213379296 320068944 640137888