Search a number
-
+
74136525605984 = 256789513386297
BaseRepresentation
bin10000110110110101000001…
…010001100000110001100000
3100201111101022221022211220002
4100312311001101200301200
534204123101023342414
6421401503311035132
721421121134113632
oct2066650121406140
9321441287284802
1074136525605984
112169313aa73216
1283941a450baa8
13324a076621a7a
141444326bbca52
158886db6724de
hex436d41460c60

74136525605984 has 48 divisors (see below), whose sum is σ = 148136775172848. Its totient is φ = 36514502694912.

The previous prime is 74136525605977. The next prime is 74136525606029. The reversal of 74136525605984 is 48950652563147.

It is a self number, because there is not a number n which added to its sum of digits gives 74136525605984.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 191722724 + ... + 192109020.

It is an arithmetic number, because the mean of its divisors is an integer number (3086182816101).

It is a 2-persistent number, because it is pandigital, and so is 2⋅74136525605984 = 148273051211968, but 3⋅74136525605984 = 222409576817952 is not.

Almost surely, 274136525605984 is an apocalyptic number.

It is an amenable number.

74136525605984 is a deficient number, since it is larger than the sum of its proper divisors (74000249566864).

74136525605984 is a wasteful number, since it uses less digits than its factorization.

74136525605984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475887 (or 475879 counting only the distinct ones).

The product of its (nonzero) digits is 217728000, while the sum is 65.

Adding to 74136525605984 its sum of digits (65), we get a square (74136525606049 = 86102572).

The spelling of 74136525605984 in words is "seventy-four trillion, one hundred thirty-six billion, five hundred twenty-five million, six hundred five thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 16 32 67 134 268 536 1072 2144 89513 179026 358052 386297 716104 772594 1432208 1545188 2864416 3090376 5997371 6180752 11994742 12361504 23989484 25881899 47978968 51763798 95957936 103527596 191915872 207055192 414110384 828220768 34578603361 69157206722 138314413444 276628826888 553257653776 1106515307552 2316766425187 4633532850374 9267065700748 18534131401496 37068262802992 74136525605984