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80789535225 = 32527227072
BaseRepresentation
bin100101100111101101…
…1100111100111111001
321201112100202121201100
41023033123213213321
52310424110111400
6101040400042013
75560016501400
oct1131733474771
9251470677640
1080789535225
113129864a633
12137a8303309
137806892719
143ca597c637
15217c97a100
hex12cf6e79f9

80789535225 has 81 divisors (see below), whose sum is σ = 168390224847. Its totient is φ = 36918715680.

The previous prime is 80789535191. The next prime is 80789535259. The reversal of 80789535225 is 52253598708.

The square root of 80789535225 is 284235.

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

80789535225 is a `hidden beast` number, since 8 + 0 + 7 + 89 + 535 + 2 + 25 = 666.

It is an interprime number because it is at equal distance from previous prime (80789535191) and next prime (80789535259).

It can be written as a sum of positive squares in only one way, i.e., 29084232681 + 51705302544 = 170541^2 + 227388^2 .

It is not a de Polignac number, because 80789535225 - 213 = 80789527033 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 29843322 + ... + 29846028.

Almost surely, 280789535225 is an apocalyptic number.

80789535225 is the 284235-th square number.

80789535225 is the 142118-th centered octagonal number.

It is an amenable number.

80789535225 is an abundant number, since it is smaller than the sum of its proper divisors (87600689622).

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

80789535225 is an equidigital number, since it uses as much as digits as its factorization.

80789535225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5444 (or 2722 counting only the distinct ones).

The product of its (nonzero) digits is 6048000, while the sum is 54.

The spelling of 80789535225 in words is "eighty billion, seven hundred eighty-nine million, five hundred thirty-five thousand, two hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 49 63 75 105 147 175 225 245 315 441 525 735 1225 1575 2205 2707 3675 8121 11025 13535 18949 24363 40605 56847 67675 94745 121815 132643 170541 203025 284235 397929 473725 609075 663215 852705 1193787 1421175 1989645 3316075 4263525 5968935 7327849 9948225 21983547 29844675 36639245 51294943 65950641 109917735 153884829 183196225 256474715 329753205 359064601 461654487 549588675 769424145 1077193803 1282373575 1648766025 1795323005 2308272435 3231581409 3847120725 5385969015 8976615025 11541362175 16157907045 26929845075 80789535225