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640499201672 = 231122928872
BaseRepresentation
bin10010101001000001011…
…10100011011010001000
32021020020111020122221112
421110200232203122020
540443220243423142
61210124040425452
764163111246201
oct11244056433210
92236214218845
10640499201672
112276a8113200
12a4171a78288
1348525275675
1423000c7a5a8
15119da5b1382
hex9520ba3688

640499201672 has 108 divisors (see below), whose sum is σ = 1368668247765. Its totient is φ = 280779920960.

The previous prime is 640499201669. The next prime is 640499201689. The reversal of 640499201672 is 276102994046.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 640118405476 + 380796196 = 800074^2 + 19514^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=565906.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 640499201672.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 722095613 + ... + 722096499.

Almost surely, 2640499201672 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 640499201672

640499201672 is an abundant number, since it is smaller than the sum of its proper divisors (728169046093).

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

640499201672 is an equidigital number, since it uses as much as digits as its factorization.

640499201672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1860 (or 929 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 50.

Multiplying 640499201672 by its sum of digits (50), we get a square (32024960083600 = 56590602).

The spelling of 640499201672 in words is "six hundred forty billion, four hundred ninety-nine million, two hundred one thousand, six hundred seventy-two".

Divisors: 1 2 4 8 11 22 29 44 58 88 116 121 232 242 319 484 638 841 887 968 1276 1682 1774 2552 3364 3509 3548 6728 7018 7096 9251 9757 14036 18502 19514 25723 28072 37004 39028 51446 74008 78056 101761 102892 107327 203522 205784 214654 282953 407044 429308 565906 745967 786769 814088 858616 1131812 1491934 1573538 2263624 2983868 3112483 3147076 5967736 6224966 6294152 8205637 8654459 12449932 16411274 17308918 22816301 24899864 32822548 34617836 45632602 65645096 69235672 90262007 91265204 95199049 180524014 182530408 190398098 250979311 361048028 380796196 501958622 661672729 722096056 761592392 1003917244 1323345458 2007834488 2646690916 2760772421 5293381832 5521544842 7278400019 11043089684 14556800038 22086179368 29113600076 58227200152 80062400209 160124800418 320249600836 640499201672