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20080445696 = 281715729389
BaseRepresentation
bin10010101100111000…
…110100100100000000
31220211102220022222222
4102230320310210000
5312111043230241
613120321350212
71310416654313
oct225470644400
956742808888
1020080445696
118574985073
123a84a98368
131b80262b3c
14d86c6697a
157c7d5ba4b
hex4ace34900

20080445696 has 72 divisors (see below), whose sum is σ = 42712016760. Its totient is φ = 9389113344.

The previous prime is 20080445689. The next prime is 20080445743. The reversal of 20080445696 is 69654408002.

It can be written as a sum of positive squares in 4 ways, for example, as 1999878400 + 18080567296 = 44720^2 + 134464^2 .

It is an unprimeable number.

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, 668570 + ... + 697958.

It is an arithmetic number, because the mean of its divisors is an integer number (593222455).

Almost surely, 220080445696 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 20080445696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21356008380).

20080445696 is an abundant number, since it is smaller than the sum of its proper divisors (22631571064).

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

20080445696 is a wasteful number, since it uses less digits than its factorization.

20080445696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29579 (or 29565 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 44.

The spelling of 20080445696 in words is "twenty billion, eighty million, four hundred forty-five thousand, six hundred ninety-six".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 157 256 272 314 544 628 1088 1256 2176 2512 2669 4352 5024 5338 10048 10676 20096 21352 29389 40192 42704 58778 85408 117556 170816 235112 341632 470224 499613 683264 940448 999226 1880896 1998452 3761792 3996904 4614073 7523584 7993808 9228146 15987616 18456292 31975232 36912584 63950464 73825168 78439241 127900928 147650336 156878482 295300672 313756964 590601344 627513928 1181202688 1255027856 2510055712 5020111424 10040222848 20080445696