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101076664576 = 283891014989
BaseRepresentation
bin101111000100010100…
…0111000000100000000
3100122220012120120101111
41132020220320010000
53124001111231301
6114233423413104
710205526321166
oct1361050700400
9318805516344
10101076664576
1139959162138
121770a454194
1396ba8aca84
144c6c047236
152968a11551
hex1788a38100

101076664576 has 36 divisors (see below), whose sum is σ = 202277357100. Its totient is φ = 50408364032.

The previous prime is 101076664573. The next prime is 101076664603. The reversal of 101076664576 is 675466670101.

It can be written as a sum of positive squares in 2 ways, for example, as 60201529600 + 40875134976 = 245360^2 + 202176^2 .

It is not an unprimeable number, because it can be changed into a prime (101076664573) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 407911 + ... + 607078.

It is an arithmetic number, because the mean of its divisors is an integer number (5618815475).

Almost surely, 2101076664576 is an apocalyptic number.

101076664576 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

101076664576 is an abundant number, since it is smaller than the sum of its proper divisors (101200692524).

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

101076664576 is an equidigital number, since it uses as much as digits as its factorization.

101076664576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1015394 (or 1015380 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 49.

The spelling of 101076664576 in words is "one hundred one billion, seventy-six million, six hundred sixty-four thousand, five hundred seventy-six".

Divisors: 1 2 4 8 16 32 64 128 256 389 778 1556 3112 6224 12448 24896 49792 99584 1014989 2029978 4059956 8119912 16239824 32479648 64959296 129918592 259837184 394830721 789661442 1579322884 3158645768 6317291536 12634583072 25269166144 50538332288 101076664576