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80590667776 = 2182910601
BaseRepresentation
bin100101100001110010…
…1000000000000000000
321201000111120002212021
41023003211000000000
52310022202332101
6101004533411224
75552053242043
oct1130345000000
9251014502767
1080590667776
11311a6370573
1213751799b14
1377a4613a88
143c873b2c5a
15216a2965a1
hex12c3940000

80590667776 has 76 divisors (see below), whose sum is σ = 166754723220. Its totient is φ = 38902169600.

The previous prime is 80590667737. The next prime is 80590667813. The reversal of 80590667776 is 67776609508.

It can be written as a sum of positive squares in 2 ways, for example, as 56682086400 + 23908581376 = 238080^2 + 154624^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7596876 + ... + 7607476.

It is an arithmetic number, because the mean of its divisors is an integer number (2194141095).

Almost surely, 280590667776 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 80590667776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83377361610).

80590667776 is an abundant number, since it is smaller than the sum of its proper divisors (86164055444).

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

80590667776 is an frugal number, since it uses more digits than its factorization.

80590667776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10666 (or 10632 counting only the distinct ones).

The product of its (nonzero) digits is 26671680, while the sum is 61.

The spelling of 80590667776 in words is "eighty billion, five hundred ninety million, six hundred sixty-seven thousand, seven hundred seventy-six".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 256 464 512 928 1024 1856 2048 3712 4096 7424 8192 10601 14848 16384 21202 29696 32768 42404 59392 65536 84808 118784 131072 169616 237568 262144 307429 339232 475136 614858 678464 950272 1229716 1356928 1900544 2459432 2713856 3801088 4918864 5427712 7602176 9837728 10855424 19675456 21710848 39350912 43421696 78701824 86843392 157403648 173686784 314807296 347373568 629614592 694747136 1259229184 1389494272 2518458368 2778988544 5036916736 10073833472 20147666944 40295333888 80590667776