Search a number
-
+
81922384872 = 23321766930053
BaseRepresentation
bin100110001001011110…
…1000110001111101000
321211110022102100021200
41030102331012033220
52320234112303442
6101345025004200
75630053532136
oct1142275061750
9254408370250
1081922384872
113181a061309
1213a63783660
1379574a5463
143d721cc756
1521e714e34c
hex1312f463e8

81922384872 has 48 divisors (see below), whose sum is σ = 234924489540. Its totient is φ = 25701139968.

The previous prime is 81922384861. The next prime is 81922384877. The reversal of 81922384872 is 27848322918.

81922384872 is a `hidden beast` number, since 8 + 192 + 2 + 384 + 8 + 72 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 79961135076 + 1961249796 = 282774^2 + 44286^2 .

It is a super-2 number, since 2×819223848722 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (81922384877) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33463803 + ... + 33466250.

Almost surely, 281922384872 is an apocalyptic number.

It is an amenable number.

81922384872 is an abundant number, since it is smaller than the sum of its proper divisors (153002104668).

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

81922384872 is a wasteful number, since it uses less digits than its factorization.

81922384872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66930082 (or 66930075 counting only the distinct ones).

The product of its digits is 3096576, while the sum is 54.

The spelling of 81922384872 in words is "eighty-one billion, nine hundred twenty-two million, three hundred eighty-four thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 306 408 612 1224 66930053 133860106 200790159 267720212 401580318 535440424 602370477 803160636 1137810901 1204740954 1606321272 2275621802 2409481908 3413432703 4551243604 4818963816 6826865406 9102487208 10240298109 13653730812 20480596218 27307461624 40961192436 81922384872