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82475746440 = 233519179202087
BaseRepresentation
bin100110011001111110…
…0000000010010001000
321212212212200000122120
41030303330000102020
52322402242341230
6101515553251240
75646553164153
oct1146374002210
9255785600576
1082475746440
1131a8345501a
1213b98b63b20
137a15021a39
143dc58b4c9a
15222aa08310
hex1333f00488

82475746440 has 128 divisors (see below), whose sum is σ = 261906048000. Its totient is φ = 20719473408.

The previous prime is 82475746403. The next prime is 82475746447. The reversal of 82475746440 is 4464757428.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (82475746447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 307077 + ... + 509163.

It is an arithmetic number, because the mean of its divisors is an integer number (2046141000).

Almost surely, 282475746440 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 82475746440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130953024000).

82475746440 is an abundant number, since it is smaller than the sum of its proper divisors (179430301560).

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

82475746440 is a wasteful number, since it uses less digits than its factorization.

82475746440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202299 (or 202295 counting only the distinct ones).

The product of its (nonzero) digits is 6021120, while the sum is 51.

The spelling of 82475746440 in words is "eighty-two billion, four hundred seventy-five million, seven hundred forty-six thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 114 120 152 179 190 228 285 358 380 456 537 570 716 760 895 1074 1140 1432 1790 2148 2280 2685 3401 3580 4296 5370 6802 7160 10203 10740 13604 17005 20406 21480 27208 34010 40812 51015 68020 81624 102030 136040 202087 204060 404174 408120 606261 808348 1010435 1212522 1616696 2020870 2425044 3031305 3839653 4041740 4850088 6062610 7679306 8083480 11518959 12125220 15358612 19198265 23037918 24250440 30717224 36173573 38396530 46075836 57594795 72347146 76793060 92151672 108520719 115189590 144694292 153586120 180867865 217041438 230379180 289388584 361735730 434082876 460758360 542603595 687297887 723471460 868165752 1085207190 1374595774 1446942920 2061893661 2170414380 2749191548 3436489435 4123787322 4340828760 5498383096 6872978870 8247574644 10309468305 13745957740 16495149288 20618936610 27491915480 41237873220 82475746440