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39440815812 = 223650926573
BaseRepresentation
bin100100101110110110…
…110001011011000100
310202210200212001000000
4210232312301123010
51121233322101222
630041401321300
72564244255126
oct445666613304
9122720761000
1039440815812
11157aa348752
127788796230
133947277948
141ca220b216
15105c87c9ac
hex92edb16c4

39440815812 has 84 divisors (see below), whose sum is σ = 103692013740. Its totient is φ = 13120615872.

The previous prime is 39440815781. The next prime is 39440815871. The reversal of 39440815812 is 21851804493.

39440815812 is a `hidden beast` number, since 3 + 94 + 408 + 158 + 1 + 2 = 666.

39440815812 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 37289154816 + 2151660996 = 193104^2 + 46386^2 .

It is a super-2 number, since 2×394408158122 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1470958 + ... + 1497530.

It is an arithmetic number, because the mean of its divisors is an integer number (1234428735).

Almost surely, 239440815812 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 39440815812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51846006870).

39440815812 is an abundant number, since it is smaller than the sum of its proper divisors (64251197928).

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

39440815812 is a wasteful number, since it uses less digits than its factorization.

39440815812 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27104 (or 27087 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 39440815812 in words is "thirty-nine billion, four hundred forty million, eight hundred fifteen thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 509 729 972 1018 1458 1527 2036 2916 3054 4581 6108 9162 13743 18324 26573 27486 41229 53146 54972 79719 82458 106292 123687 159438 164916 239157 247374 318876 371061 478314 494748 717471 742122 956628 1434942 1484244 2152413 2869884 4304826 6457239 8609652 12914478 13525657 19371717 25828956 27051314 38743434 40576971 54102628 77486868 81153942 121730913 162307884 243461826 365192739 486923652 730385478 1095578217 1460770956 2191156434 3286734651 4382312868 6573469302 9860203953 13146938604 19720407906 39440815812