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640265540220 = 2232537157612331
BaseRepresentation
bin10010101000100101100…
…11001101001001111100
32021012122012120102200200
421110102303031021330
540442230434241340
61210044532323500
764154243203365
oct11242263151174
92235565512620
10640265540220
11227598229969
12a4107773590
13484b8a33957
1422dbbc14b6c
15119c4d08330
hex9512ccd27c

640265540220 has 144 divisors (see below), whose sum is σ = 2007336965088. Its totient is φ = 165064573440.

The previous prime is 640265540219. The next prime is 640265540221. The reversal of 640265540220 is 22045562046.

640265540220 is a `hidden beast` number, since 64 + 0 + 26 + 554 + 0 + 2 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (640265540219) and next prime (640265540221).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (640265540221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 739455 + ... + 1351785.

Almost surely, 2640265540220 is an apocalyptic number.

640265540220 is a gapful number since it is divisible by the number (60) 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 640265540220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1003668482544).

640265540220 is an abundant number, since it is smaller than the sum of its proper divisors (1367071424868).

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

640265540220 is a wasteful number, since it uses less digits than its factorization.

640265540220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 612540 (or 612535 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 640265540220 in words is "six hundred forty billion, two hundred sixty-five million, five hundred forty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 148 157 180 185 222 314 333 370 444 471 555 628 666 740 785 942 1110 1332 1413 1570 1665 1884 2220 2355 2826 3140 3330 4710 5652 5809 6660 7065 9420 11618 14130 17427 23236 28260 29045 34854 52281 58090 69708 87135 104562 116180 174270 209124 261405 348540 522810 612331 1045620 1224662 1836993 2449324 3061655 3673986 5510979 6123310 7347972 9184965 11021958 12246620 18369930 22043916 22656247 27554895 36739860 45312494 55109790 67968741 90624988 96135967 110219580 113281235 135937482 192271934 203906223 226562470 271874964 288407901 339843705 384543868 407812446 453124940 480679835 576815802 679687410 815624892 865223703 961359670 1019531115 1153631604 1359374820 1442039505 1730447406 1922719340 2039062230 2884079010 3460894812 3557030779 4078124460 4326118515 5768158020 7114061558 8652237030 10671092337 14228123116 17304474060 17785153895 21342184674 32013277011 35570307790 42684369348 53355461685 64026554022 71140615580 106710923370 128053108044 160066385055 213421846740 320132770110 640265540220