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40845679488 = 27357317989
BaseRepresentation
bin100110000010100101…
…111001101110000000
310220102121100111200000
4212002211321232000
51132122443220423
630433024400000
72644123355445
oct460245715600
9126377314600
1040845679488
1116360359609
127abb176000
133b0c33a123
141d96a279cc
1510e0d83843
hex982979b80

40845679488 has 192 divisors, whose sum is σ = 123567553200. Its totient is φ = 13427970048.

The previous prime is 40845679487. The next prime is 40845679549. The reversal of 40845679488 is 88497654804.

40845679488 is a `hidden beast` number, since 4 + 0 + 84 + 5 + 6 + 79 + 488 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40845679481) 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, 2261598 + ... + 2279586.

Almost surely, 240845679488 is an apocalyptic number.

40845679488 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40845679488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61783776600).

40845679488 is an abundant number, since it is smaller than the sum of its proper divisors (82721873712).

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

40845679488 is an equidigital number, since it uses as much as digits as its factorization.

40845679488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18091 (or 18067 counting only the distinct ones).

The product of its (nonzero) digits is 61931520, while the sum is 63.

The spelling of 40845679488 in words is "forty billion, eight hundred forty-five million, six hundred seventy-nine thousand, four hundred eighty-eight".