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20265800164 = 22172532792
BaseRepresentation
bin10010110111111011…
…111001000111100100
31221022100200022112021
4102313323321013210
5313001021101124
613150542232524
71315130313331
oct226773710744
957270608467
1020265800164
11865a574685
123b16b85744
131bac78cc3c
14da3715988
157d92717e4
hex4b7ef91e4

20265800164 has 81 divisors (see below), whose sum is σ = 38890502427. Its totient is φ = 9238464768.

The previous prime is 20265800141. The next prime is 20265800171. The reversal of 20265800164 is 46100856202.

The square root of 20265800164 is 142358.

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

It can be written as a sum of positive squares in 4 ways, for example, as 5077702564 + 15188097600 = 71258^2 + 123240^2 .

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 256529077 + ... + 256529155.

Almost surely, 220265800164 is an apocalyptic number.

20265800164 is the 142358-th square number.

It is an amenable number.

20265800164 is a deficient number, since it is larger than the sum of its proper divisors (18624702263).

20265800164 is an equidigital number, since it uses as much as digits as its factorization.

20265800164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The spelling of 20265800164 in words is "twenty billion, two hundred sixty-five million, eight hundred thousand, one hundred sixty-four".

Divisors: 1 2 4 17 34 53 68 79 106 158 212 289 316 578 901 1156 1343 1802 2686 2809 3604 4187 5372 5618 6241 8374 11236 12482 15317 16748 22831 24964 30634 45662 47753 61268 71179 91324 95506 106097 142358 191012 212194 221911 284716 330773 424388 443822 661546 811801 887644 1210043 1323092 1623602 1803649 2420086 3247204 3607298 3772487 4840172 5623141 7214596 7544974 11246282 15089948 17530969 22492564 35061938 64132279 70123876 95593397 128264558 191186794 256529116 298026473 382373588 596052946 1192105892 5066450041 10132900082 20265800164