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40579377012 = 22321760964013
BaseRepresentation
bin100101110010101110…
…000010011101110100
310212202001020221100100
4211302232002131310
51131101310031022
630350352514100
72634411004416
oct456256023564
9125661227310
1040579377012
1116234000619
127a45b4b930
133a9910a2b5
141d6d5069b6
1510c77ce1ac
hex972b82774

40579377012 has 36 divisors (see below), whose sum is σ = 102583075140. Its totient is φ = 13525479552.

The previous prime is 40579377011. The next prime is 40579377071. The reversal of 40579377012 is 21077397504.

40579377012 is a `hidden beast` number, since 4 + 0 + 579 + 3 + 7 + 70 + 1 + 2 = 666.

40579377012 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 37591005456 + 2988371556 = 193884^2 + 54666^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40579377011) 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, 601918 + ... + 665930.

It is an arithmetic number, because the mean of its divisors is an integer number (2849529865).

Almost surely, 240579377012 is an apocalyptic number.

It is an amenable number.

40579377012 is an abundant number, since it is smaller than the sum of its proper divisors (62003698128).

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

40579377012 is a wasteful number, since it uses less digits than its factorization.

40579377012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81632 (or 81627 counting only the distinct ones).

The product of its (nonzero) digits is 370440, while the sum is 45.

The spelling of 40579377012 in words is "forty billion, five hundred seventy-nine million, three hundred seventy-seven thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 17609 35218 52827 64013 70436 105654 128026 158481 192039 211308 256052 316962 384078 576117 633924 768156 1152234 2304468 1127204917 2254409834 3381614751 4508819668 6763229502 10144844253 13526459004 20289688506 40579377012