Search a number
-
+
40824572864 = 267185910459
BaseRepresentation
bin100110000001010101…
…011000101111000000
310220101010122011211012
4212001111120233000
51132102042312424
630430552140052
72643446100215
oct460125305700
9126333564735
1040824572864
111634a452919
127ab4097628
133b07b5a0ba
141d93cd1b0c
1510de0b4b0e
hex981558bc0

40824572864 has 56 divisors (see below), whose sum is σ = 82255766400. Its totient is φ = 20099439360.

The previous prime is 40824572819. The next prime is 40824572869. The reversal of 40824572864 is 46827542804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40824572869) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3898067 + ... + 3908525.

Almost surely, 240824572864 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 40824572864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41127883200).

40824572864 is an abundant number, since it is smaller than the sum of its proper divisors (41431193536).

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

40824572864 is a wasteful number, since it uses less digits than its factorization.

40824572864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11401 (or 11391 counting only the distinct ones).

The product of its (nonzero) digits is 3440640, while the sum is 50.

The spelling of 40824572864 in words is "forty billion, eight hundred twenty-four million, five hundred seventy-two thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 16 32 64 71 142 284 568 859 1136 1718 2272 3436 4544 6872 10459 13744 20918 27488 41836 54976 60989 83672 121978 167344 243956 334688 487912 669376 742589 975824 1485178 1951648 2970356 3903296 5940712 8984281 11881424 17968562 23762848 35937124 47525696 71874248 143748496 287496992 574993984 637883951 1275767902 2551535804 5103071608 10206143216 20412286432 40824572864