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40579685136 = 2432167872
BaseRepresentation
bin100101110010101111…
…001101101100010000
310212202001211121000100
4211302233031230100
51131101344411021
630350403252400
72634413426634
oct456257155420
9125661747010
1040579685136
11162341a1071
127a4607a100
133a991b7613
141d6d586dc4
1510c7840626
hex972bcdb10

40579685136 has 45 divisors (see below), whose sum is σ = 113573523271. Its totient is φ = 13525755936.

The previous prime is 40579685129. The next prime is 40579685137. The reversal of 40579685136 is 63158697504.

The square root of 40579685136 is 201444.

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

40579685136 is a `hidden beast` number, since 4 + 0 + 579 + 68 + 5 + 1 + 3 + 6 = 666.

40579685136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (40579685137) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2408935 + ... + 2425721.

Almost surely, 240579685136 is an apocalyptic number.

40579685136 is the 201444-th square number.

It is an amenable number.

40579685136 is an abundant number, since it is smaller than the sum of its proper divisors (72993838135).

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

40579685136 is an frugal number, since it uses more digits than its factorization.

40579685136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33588 (or 16792 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 40579685136 in words is "forty billion, five hundred seventy-nine million, six hundred eighty-five thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 16787 33574 50361 67148 100722 134296 151083 201444 268592 302166 402888 604332 805776 1208664 2417328 281803369 563606738 845410107 1127213476 1690820214 2254426952 2536230321 3381640428 4508853904 5072460642 6763280856 10144921284 13526561712 20289842568 40579685136