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82447366374428 = 221123197413551927
BaseRepresentation
bin10010101111110001000101…
…111111000100010000011100
3101210220220001201110101002212
4102233301011333010100130
541301304201242440203
6451203444111335552
723236424412062456
oct2257610577042034
9353826051411085
1082447366374428
11242a7805a13510
1292b6a282215b8
1337009a3c8a3c3
14165068c2612d6
1597e9a28811d8
hex4afc45fc441c

82447366374428 has 48 divisors (see below), whose sum is σ = 165076695995904. Its totient is φ = 35664718098240.

The previous prime is 82447366374419. The next prime is 82447366374431.

82447366374428 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 206576600 + ... + 206975327.

It is an arithmetic number, because the mean of its divisors is an integer number (3439097833248).

Almost surely, 282447366374428 is an apocalyptic number.

It is an amenable number.

82447366374428 is an abundant number, since it is smaller than the sum of its proper divisors (82629329621476).

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

82447366374428 is a wasteful number, since it uses less digits than its factorization.

82447366374428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413552162 (or 413552160 counting only the distinct ones).

The product of its digits is 1040449536, while the sum is 68.

The spelling of 82447366374428 in words is "eighty-two trillion, four hundred forty-seven billion, three hundred sixty-six million, three hundred seventy-four thousand, four hundred twenty-eight".

Divisors: 1 2 4 11 22 23 44 46 92 197 253 394 506 788 1012 2167 4334 4531 8668 9062 18124 49841 99682 199364 413551927 827103854 1654207708 4549071197 9098142394 9511694321 18196284788 19023388642 38046777284 81469729619 104628637531 162939459238 209257275062 325878918476 418514550124 896167025809 1792334051618 1873803781237 3584668103236 3747607562474 7495215124948 20611841593607 41223683187214 82447366374428