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82996269928 = 23111372549187
BaseRepresentation
bin100110101001011110…
…1101001001101101000
321221020011010100122021
41031102331221031220
52324434021114203
6102043350034224
75665503440305
oct1152275511550
9257204110567
1082996269928
113222025a020
1214103348974
137a98b115c0
144034a900ac
15225b5775bd
hex1352f69368

82996269928 has 32 divisors (see below), whose sum is σ = 182823953760. Its totient is φ = 34823609280.

The previous prime is 82996269887. The next prime is 82996269931.

It is a happy number.

82996269928 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×829962699282 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 36273450 + ... + 36275737.

It is an arithmetic number, because the mean of its divisors is an integer number (5713248555).

Almost surely, 282996269928 is an apocalyptic number.

82996269928 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

82996269928 is an abundant number, since it is smaller than the sum of its proper divisors (99827683832).

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

82996269928 is a wasteful number, since it uses less digits than its factorization.

82996269928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72549217 (or 72549213 counting only the distinct ones).

The product of its digits is 120932352, while the sum is 70.

The spelling of 82996269928 in words is "eighty-two billion, nine hundred ninety-six million, two hundred sixty-nine thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 11 13 22 26 44 52 88 104 143 286 572 1144 72549187 145098374 290196748 580393496 798041057 943139431 1596082114 1886278862 3192164228 3772557724 6384328456 7545115448 10374533741 20749067482 41498134964 82996269928