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10273444164 = 223618772
BaseRepresentation
bin10011001000101100…
…00101000101000100
3222111222022001000000
421210112011011010
5132020000203124
64415231321300
7512404556154
oct114426050504
928458261000
1010273444164
1143a2100725
121ba8680230
13c7954ab59
146d65c2764
15401dc36c9
hex264585144

10273444164 has 63 divisors (see below), whose sum is σ = 26969828557. Its totient is φ = 3422656944.

The previous prime is 10273444151. The next prime is 10273444177. The reversal of 10273444164 is 46144437201.

The square root of 10273444164 is 101358.

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

It is an interprime number because it is at equal distance from previous prime (10273444151) and next prime (10273444177).

It can be written as a sum of positive squares in only one way, i.e., 6430436100 + 3843008064 = 80190^2 + 61992^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 5472394 + ... + 5474270.

Almost surely, 210273444164 is an apocalyptic number.

10273444164 is the 101358-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10273444164

10273444164 is an abundant number, since it is smaller than the sum of its proper divisors (16696384393).

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

10273444164 is an frugal number, since it uses more digits than its factorization.

10273444164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3776 (or 1882 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

Multiplying 10273444164 by its sum of digits (36), we get a square (369843989904 = 6081482).

10273444164 divided by its sum of digits (36) gives a square (285373449 = 168932).

The spelling of 10273444164 in words is "ten billion, two hundred seventy-three million, four hundred forty-four thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1458 1877 2916 3754 5631 7508 11262 16893 22524 33786 50679 67572 101358 152037 202716 304074 456111 608148 912222 1368333 1824444 2736666 3523129 5473332 7046258 10569387 14092516 21138774 31708161 42277548 63416322 95124483 126832644 190248966 285373449 380497932 570746898 856120347 1141493796 1712240694 2568361041 3424481388 5136722082 10273444164