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74370780180 = 22345397115637
BaseRepresentation
bin100010101000011011…
…0000000110000010100
321002222000202002010000
41011100312000300110
52204302404431210
654055423531300
75241656126004
oct1052066006024
9232860662100
1074370780180
11295a44039a4
12124b6759b30
137022b19808
1438572c6004
151e041c6ac0
hex1150d80c14

74370780180 has 120 divisors (see below), whose sum is σ = 233893581768. Its totient is φ = 19782081792.

The previous prime is 74370780139. The next prime is 74370780181. The reversal of 74370780180 is 8108707347.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 20026778256 + 54344001924 = 141516^2 + 233118^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74370780181) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 585322 + ... + 700958.

Almost surely, 274370780180 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 74370780180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116946790884).

74370780180 is an abundant number, since it is smaller than the sum of its proper divisors (159522801588).

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

74370780180 is a wasteful number, since it uses less digits than its factorization.

74370780180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116055 (or 116044 counting only the distinct ones).

The product of its (nonzero) digits is 263424, while the sum is 45.

The spelling of 74370780180 in words is "seventy-four billion, three hundred seventy million, seven hundred eighty thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 397 405 540 794 810 1191 1588 1620 1985 2382 3573 3970 4764 5955 7146 7940 10719 11910 14292 17865 21438 23820 32157 35730 42876 53595 64314 71460 107190 115637 128628 160785 214380 231274 321570 346911 462548 578185 643140 693822 1040733 1156370 1387644 1734555 2081466 2312740 3122199 3469110 4162932 5203665 6244398 6938220 9366597 10407330 12488796 15610995 18733194 20814660 31221990 37466388 45907889 46832985 62443980 91815778 93665970 137723667 183631556 187331940 229539445 275447334 413171001 459078890 550894668 688618335 826342002 918157780 1239513003 1377236670 1652684004 2065855005 2479026006 2754473340 3718539009 4131710010 4958052012 6197565015 7437078018 8263420020 12395130030 14874156036 18592695045 24790260060 37185390090 74370780180