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80742359104 = 2611232292
BaseRepresentation
bin100101100110010011…
…1101010000001000000
321201102001222211020121
41023030213222001000
52310330020442404
6101031552550024
75555604504601
oct1131447520100
9251361884217
1080742359104
1131273a58500
1213794552314
1377c9b85764
143c9d5bbda8
15217875be54
hex12cc9ea040

80742359104 has 63 divisors (see below), whose sum is σ = 176167572861. Its totient is φ = 36689706240.

The previous prime is 80742359101. The next prime is 80742359143. The reversal of 80742359104 is 40195324708.

The square root of 80742359104 is 284152.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 24288599104 + 56453760000 = 155848^2 + 237600^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (80742359101) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 25003762 + ... + 25006990.

Almost surely, 280742359104 is an apocalyptic number.

80742359104 is the 284152-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80742359104

80742359104 is an abundant number, since it is smaller than the sum of its proper divisors (95425213757).

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

80742359104 is an frugal number, since it uses more digits than its factorization.

80742359104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6492 (or 3242 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 43.

The spelling of 80742359104 in words is "eighty billion, seven hundred forty-two million, three hundred fifty-nine thousand, one hundred four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 176 242 352 484 704 968 1936 3229 3872 6458 7744 12916 25832 35519 51664 71038 103328 142076 206656 284152 390709 568304 781418 1136608 1562836 2273216 3125672 6251344 10426441 12502688 20852882 25005376 41705764 83411528 114690851 166823056 229381702 333646112 458763404 667292224 917526808 1261599361 1835053616 2523198722 3670107232 5046397444 7340214464 10092794888 20185589776 40371179552 80742359104