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82907270928 = 2433191914979
BaseRepresentation
bin100110100110110101…
…0001000111100010000
321220222221122201222000
41031031222020330100
52324243230132203
6102030450314000
75663343114066
oct1151552107420
9256887581860
1082907270928
1132184aa1829
1214099588900
137a83550181
144026d24036
1522538474a3
hex134da88f10

82907270928 has 40 divisors (see below), whose sum is σ = 237974575200. Its totient is φ = 27635756832.

The previous prime is 82907270921. The next prime is 82907270987.

82907270928 is nontrivially palindromic in base 10.

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

It is not an unprimeable number, because it can be changed into a prime (82907270921) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 95957058 + ... + 95957921.

It is an arithmetic number, because the mean of its divisors is an integer number (5949364380).

Almost surely, 282907270928 is an apocalyptic number.

It is an amenable number.

82907270928 is an abundant number, since it is smaller than the sum of its proper divisors (155067304272).

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

82907270928 is a wasteful number, since it uses less digits than its factorization.

82907270928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191914996 (or 191914984 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The spelling of 82907270928 in words is "eighty-two billion, nine hundred seven million, two hundred seventy thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 191914979 383829958 575744937 767659916 1151489874 1535319832 1727234811 2302979748 3070639664 3454469622 4605959496 5181704433 6908939244 9211918992 10363408866 13817878488 20726817732 27635756976 41453635464 82907270928