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82374730472475 = 3352747969363439
BaseRepresentation
bin10010101110101101011100…
…100011000101110000011011
3101210122221120121012020112000
4102232231130203011300123
541244111422000104400
6451110232340052043
723231243420102460
oct2256553443056033
9353587517166460
1082374730472475
1124279a21935281
1292a4936694023
1336c6b9970c66c
14164ad5b53d667
1597cb50b4c600
hex4aeb5c8c5c1b

82374730472475 has 96 divisors (see below), whose sum is σ = 172947430656000. Its totient is φ = 37656131005440.

The previous prime is 82374730472473. The next prime is 82374730472479. The reversal of 82374730472475 is 57427403747328.

82374730472475 is a `hidden beast` number, since 8 + 2 + 37 + 473 + 0 + 47 + 24 + 75 = 666.

82374730472475 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 82374730472475 - 21 = 82374730472473 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (82374730472471) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 226471806 + ... + 226835244.

It is an arithmetic number, because the mean of its divisors is an integer number (1801535736000).

Almost surely, 282374730472475 is an apocalyptic number.

82374730472475 is an abundant number, since it is smaller than the sum of its proper divisors (90572700183525).

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

82374730472475 is a wasteful number, since it uses less digits than its factorization.

82374730472475 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411434 (or 411423 counting only the distinct ones).

The product of its (nonzero) digits is 221276160, while the sum is 63.

The spelling of 82374730472475 in words is "eighty-two trillion, three hundred seventy-four billion, seven hundred thirty million, four hundred seventy-two thousand, four hundred seventy-five".

Divisors: 1 3 5 7 9 15 21 25 27 35 45 63 75 105 135 175 189 225 315 525 675 945 1575 4725 47969 143907 239845 335783 363439 431721 719535 1007349 1090317 1199225 1295163 1678915 1817195 2158605 2544073 3022047 3270951 3597675 5036745 5451585 6475815 7632219 8394575 9066141 9085975 9812853 10793025 12720365 15110235 16354755 22896657 25183725 27257925 32379075 38161095 45330705 49064265 63601825 68689971 75551175 81773775 114483285 190805475 226653525 245321325 343449855 572416425 1717249275 17433805391 52301416173 87169026955 122036637737 156904248519 261507080865 366109913211 435845134775 470712745557 610183188685 784521242595 1098329739633 1307535404325 1830549566055 2353563727785 3050915943425 3294989218899 3922606212975 5491648698165 9152747830275 11767818638925 16474946094495 27458243490825 82374730472475