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80011211008 = 2817101182029
BaseRepresentation
bin100101010000100001…
…0100011000100000000
321122112010012122121111
41022201002203010000
52302330332223013
6100431233533104
75531516033521
oct1124102430400
9248463178544
1080011211008
1130a29274083
121360b714194
13771155b951
143c30456848
15213448573d
hex12a10a3100

80011211008 has 72 divisors (see below), whose sum is σ = 170779817880. Its totient is φ = 37279334400.

The previous prime is 80011210999. The next prime is 80011211029.

80011211008 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 41864433664 + 38146777344 = 204608^2 + 195312^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 80011211008.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 348538 + ... + 530566.

It is an arithmetic number, because the mean of its divisors is an integer number (2371941915).

Almost surely, 280011211008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80011211008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85389908940).

80011211008 is an abundant number, since it is smaller than the sum of its proper divisors (90768606872).

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

80011211008 is a wasteful number, since it uses less digits than its factorization.

80011211008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182163 (or 182149 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 22.

The spelling of 80011211008 in words is "eighty billion, eleven million, two hundred eleven thousand, eight".

Divisors: 1 2 4 8 16 17 32 34 64 68 101 128 136 202 256 272 404 544 808 1088 1616 1717 2176 3232 3434 4352 6464 6868 12928 13736 25856 27472 54944 109888 182029 219776 364058 439552 728116 1456232 2912464 3094493 5824928 6188986 11649856 12377972 18384929 23299712 24755944 36769858 46599424 49511888 73539716 99023776 147079432 198047552 294158864 312543793 396095104 588317728 625087586 792190208 1176635456 1250175172 2353270912 2500350344 4706541824 5000700688 10001401376 20002802752 40005605504 80011211008