Search a number
-
+
531382085328 = 24343972734687
BaseRepresentation
bin1111011101110001101…
…01110010011011010000
31212210120221010211021010
413232320311302123100
532201232303212303
61044040310130520
753251100125443
oct7567065623320
91783527124233
10531382085328
111953a3374706
1286b9a950a40
133b15595b433
141ba0d03965a
15dc50c63c03
hex7bb8d726d0

531382085328 has 80 divisors (see below), whose sum is σ = 1377796259840. Its totient is φ = 176475708288.

The previous prime is 531382085303. The next prime is 531382085329. The reversal of 531382085328 is 823580283135.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (531382085329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15302001 + ... + 15336687.

It is an arithmetic number, because the mean of its divisors is an integer number (17222453248).

Almost surely, 2531382085328 is an apocalyptic number.

It is an amenable number.

531382085328 is an abundant number, since it is smaller than the sum of its proper divisors (846414174512).

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

531382085328 is a wasteful number, since it uses less digits than its factorization.

531382085328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35864 (or 35858 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 48.

The spelling of 531382085328 in words is "five hundred thirty-one billion, three hundred eighty-two million, eighty-five thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 439 727 878 1317 1454 1756 2181 2634 2908 3512 4362 5268 5816 7024 8724 10536 11632 17448 21072 34687 34896 69374 104061 138748 208122 277496 319153 416244 554992 638306 832488 957459 1276612 1664976 1914918 2553224 3829836 5106448 7659672 15227593 15319344 25217449 30455186 45682779 50434898 60910372 75652347 91365558 100869796 121820744 151304694 182731116 201739592 243641488 302609388 365462232 403479184 605218776 730924464 1210437552 11070460111 22140920222 33211380333 44281840444 66422760666 88563680888 132845521332 177127361776 265691042664 531382085328