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40585092372 = 223211443231349
BaseRepresentation
bin100101110011000011…
…110101110100010100
310212202110000022100100
4211303003311310110
51131104240423442
630351115214100
72634510410316
oct456303656424
9125673008310
1040585092372
1116237254660
127a47a47330
133a9a35b876
141d701937b6
1510c805c84c
hex9730f5d14

40585092372 has 72 divisors (see below), whose sum is σ = 112169584800. Its totient is φ = 12270697920.

The previous prime is 40585092323. The next prime is 40585092377. The reversal of 40585092372 is 27329058504.

40585092372 is a `hidden beast` number, since 4 + 0 + 58 + 509 + 23 + 72 = 666.

40585092372 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40585092377) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59754 + ... + 291102.

It is an arithmetic number, because the mean of its divisors is an integer number (1557910900).

Almost surely, 240585092372 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40585092372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56084792400).

40585092372 is an abundant number, since it is smaller than the sum of its proper divisors (71584492428).

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

40585092372 is a wasteful number, since it uses less digits than its factorization.

40585092372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231813 (or 231808 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 40585092372 in words is "forty billion, five hundred eighty-five million, ninety-two thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 443 886 1329 1772 2658 3987 4873 5316 7974 9746 14619 15948 19492 29238 43857 58476 87714 175428 231349 462698 694047 925396 1388094 2082141 2544839 2776188 4164282 5089678 7634517 8328564 10179356 15269034 22903551 30538068 45807102 91614204 102487607 204975214 307462821 409950428 614925642 922388463 1127363677 1229851284 1844776926 2254727354 3382091031 3689553852 4509454708 6764182062 10146273093 13528364124 20292546186 40585092372