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80929518741 = 364110924841
BaseRepresentation
bin100101101011111000…
…1100111010010010101
321201220010011112000000
41023113301213102111
52311220424044431
6101102320241513
75563336362531
oct1132761472225
9251803145000
1080929518741
113135a670295
1213827170299
1378298953c6
143cba3babc1
152189dcb9e6
hex12d7c67495

80929518741 has 56 divisors (see below), whose sum is σ = 125443653720. Its totient is φ = 52152076800.

The previous prime is 80929518731. The next prime is 80929518797. The reversal of 80929518741 is 14781592908.

It is a happy number.

80929518741 is a `hidden beast` number, since 80 + 9 + 2 + 9 + 518 + 7 + 41 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 204776100 + 80724742641 = 14310^2 + 284121^2 .

It is not a de Polignac number, because 80929518741 - 223 = 80921130133 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80929518731) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 3245481 + ... + 3270321.

It is an arithmetic number, because the mean of its divisors is an integer number (2240065245).

Almost surely, 280929518741 is an apocalyptic number.

80929518741 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

It is an amenable number.

80929518741 is a deficient number, since it is larger than the sum of its proper divisors (44514134979).

80929518741 is a wasteful number, since it uses less digits than its factorization.

80929518741 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25009 (or 24994 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 54.

The spelling of 80929518741 in words is "eighty billion, nine hundred twenty-nine million, five hundred eighteen thousand, seven hundred forty-one".

Divisors: 1 3 9 27 41 81 109 123 243 327 369 729 981 1107 2943 3321 4469 8829 9963 13407 24841 26487 29889 40221 74523 79461 120663 223569 361989 670707 1018481 1085967 2012121 2707669 3055443 3257901 6036363 8123007 9166329 18109089 24369021 27498987 73107063 82496961 111014429 219321189 247490883 333043287 657963567 742472649 999129861 1973890701 2997389583 8992168749 26976506247 80929518741