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82091000232 = 2333380050927
BaseRepresentation
bin100110001110100000…
…0010100000110101000
321211220001200220002000
41030131000110012220
52321110244001412
6101413451011000
75634201663123
oct1143500240650
9254801626060
1082091000232
11318a625854a
1213ab0139a60
1379833c1467
143d8a7613ba
152206d594dc
hex131d0141a8

82091000232 has 32 divisors (see below), whose sum is σ = 228030556800. Its totient is φ = 27363666672.

The previous prime is 82091000231. The next prime is 82091000249. The reversal of 82091000232 is 23200019028.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 82091000196 and 82091000205.

It is not an unprimeable number, because it can be changed into a prime (82091000231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 190025248 + ... + 190025679.

It is an arithmetic number, because the mean of its divisors is an integer number (7125954900).

Almost surely, 282091000232 is an apocalyptic number.

It is an amenable number.

82091000232 is an abundant number, since it is smaller than the sum of its proper divisors (145939556568).

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

82091000232 is a wasteful number, since it uses less digits than its factorization.

82091000232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380050942 (or 380050932 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 82091000232 in words is "eighty-two billion, ninety-one million, two hundred thirty-two", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 380050927 760101854 1140152781 1520203708 2280305562 3040407416 3420458343 4560611124 6840916686 9121222248 10261375029 13681833372 20522750058 27363666744 41045500116 82091000232