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830532780828 = 223353549143609
BaseRepresentation
bin11000001010111111001…
…11001000001100011100
32221101202020221201021000
430011133213020030130
5102101412342441303
61433312543510300
7114001243104522
oct14053747101434
92841666851230
10830532780828
112a0255114963
12114b678b8390
136041b8334aa
142c2ab45a312
151690daabda3
hexc15f9c831c

830532780828 has 48 divisors (see below), whose sum is σ = 2153288340000. Its totient is φ = 276837162624.

The previous prime is 830532780827. The next prime is 830532780839. The reversal of 830532780828 is 828087235038.

It is a happy number.

830532780828 is a `hidden beast` number, since 8 + 3 + 0 + 532 + 7 + 80 + 8 + 28 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (830532780827) 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 15 ways as a sum of consecutive naturals, for example, 5711488 + ... + 5855096.

It is an arithmetic number, because the mean of its divisors is an integer number (44860173750).

Almost surely, 2830532780828 is an apocalyptic number.

It is an amenable number.

830532780828 is an abundant number, since it is smaller than the sum of its proper divisors (1322755559172).

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

830532780828 is a wasteful number, since it uses less digits than its factorization.

830532780828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197171 (or 197163 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 830532780828 in words is "eight hundred thirty billion, five hundred thirty-two million, seven hundred eighty thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 53549 107098 143609 160647 214196 287218 321294 430827 481941 574436 642588 861654 963882 1292481 1445823 1723308 1927764 2584962 2891646 3877443 5169924 5783292 7754886 15509772 7690118341 15380236682 23070355023 30760473364 46140710046 69211065069 92281420092 138422130138 207633195207 276844260276 415266390414 830532780828