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80503280361 = 32725922292
BaseRepresentation
bin100101011111001011…
…1101001001011101001
321200210102010100212100
41022332113221023221
52304332314432421
6100552132404013
75546642410200
oct1127627511351
9250712110770
1080503280361
1131161004069
1213728476609
13778c49804a
143c79946237
152162783c26
hex12be5e92e9

80503280361 has 81 divisors (see below), whose sum is σ = 138202436151. Its totient is φ = 45024704928.

The previous prime is 80503280293. The next prime is 80503280369. The reversal of 80503280361 is 16308230508.

The square root of 80503280361 is 283731.

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., 74976844761 + 5526435600 = 273819^2 + 74340^2 .

It is not a de Polignac number, because 80503280361 - 27 = 80503280233 is a prime.

It is not an unprimeable number, because it can be changed into a prime (80503280369) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 351542595 + ... + 351542823.

Almost surely, 280503280361 is an apocalyptic number.

80503280361 is the 283731-st square number.

80503280361 is the 141866-th centered octagonal number.

It is an amenable number.

80503280361 is a deficient number, since it is larger than the sum of its proper divisors (57699155790).

80503280361 is an equidigital number, since it uses as much as digits as its factorization.

80503280361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 596 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

Multiplying 80503280361 by its sum of digits (36), we get a square (2898118092996 = 17023862).

The spelling of 80503280361 in words is "eighty billion, five hundred three million, two hundred eighty thousand, three hundred sixty-one".

Divisors: 1 3 7 9 21 49 59 63 147 177 229 413 441 531 687 1239 1603 2061 2891 3481 3717 4809 8673 10443 11221 13511 14427 24367 26019 31329 33663 40533 52441 73101 94577 100989 121599 157323 170569 219303 283731 367087 471969 511707 662039 797149 851193 1101261 1535121 1986117 2391447 2569609 3094019 3303783 5580043 5958351 7174341 7708827 9282057 16740129 21658133 23126481 27846171 39060301 50220387 64974399 117180903 151606931 182547121 194923197 351542709 454820793 547641363 1277829847 1364462379 1642924089 3833489541 8944808929 11500468623 26834426787 80503280361