Search a number
-
+
30825082035 = 3351131719431
BaseRepresentation
bin11100101101010100…
…010110110010110011
32221120020211102011000
4130231110112302303
51001112210111120
622054424253043
72140605605556
oct345524266263
987506742130
1030825082035
1112088a56410
125b83311183
132ba32ba617
1416c5c6269d
15c062a7990
hex72d516cb3

30825082035 has 128 divisors (see below), whose sum is σ = 62586224640. Its totient is φ = 14258160000.

The previous prime is 30825082031. The next prime is 30825082037. The reversal of 30825082035 is 53028052803.

It is not a de Polignac number, because 30825082035 - 22 = 30825082031 is a prime.

It is not an unprimeable number, because it can be changed into a prime (30825082031) 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 127 ways as a sum of consecutive naturals, for example, 3263770 + ... + 3273200.

It is an arithmetic number, because the mean of its divisors is an integer number (488954880).

Almost surely, 230825082035 is an apocalyptic number.

30825082035 is an abundant number, since it is smaller than the sum of its proper divisors (31761142605).

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

30825082035 is a wasteful number, since it uses less digits than its factorization.

30825082035 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9558 (or 9552 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 30825082035 in words is "thirty billion, eight hundred twenty-five million, eighty-two thousand, thirty-five".

Divisors: 1 3 5 9 11 15 27 31 33 45 55 71 93 99 135 155 165 213 279 297 341 355 465 495 639 781 837 1023 1065 1395 1485 1705 1917 2201 2343 3069 3195 3905 4185 5115 6603 7029 9207 9431 9585 11005 11715 15345 19809 21087 24211 28293 33015 35145 46035 47155 59427 72633 84879 99045 103741 105435 121055 141465 217899 254637 292361 297135 311223 363165 424395 518705 653697 669601 877083 933669 1089495 1273185 1461805 1556115 2008803 2631249 2801007 3215971 3268485 3348005 4385415 4668345 6026409 7365611 7893747 9647913 10044015 13156245 14005035 16079855 18079227 20757631 22096833 28943739 30132045 36828055 39468735 48239565 62272893 66290499 86831217 90396135 103788155 110484165 144718695 186818679 198871497 228333941 311364465 331452495 434156085 560456037 685001823 934093395 994357485 1141669705 2055005469 2802280185 3425009115 6165016407 10275027345 30825082035