Search a number
-
+
66972291474 = 23111983643457
BaseRepresentation
bin111110010111110111…
…000001000110010010
320101212102011220120210
4332113313001012102
52044124401311344
650433332344550
74560431041044
oct762767010622
9211772156523
1066972291474
1126448126920
1210b90a75156
1364140b114a
143354879a94
151b1e8e6db9
hexf97dc1192

66972291474 has 64 divisors (see below), whose sum is σ = 155665359360. Its totient is φ = 18994821120.

The previous prime is 66972291461. The next prime is 66972291497. The reversal of 66972291474 is 47419227966.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 217647 + ... + 425810.

It is an arithmetic number, because the mean of its divisors is an integer number (2432271240).

Almost surely, 266972291474 is an apocalyptic number.

66972291474 is an abundant number, since it is smaller than the sum of its proper divisors (88693067886).

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

66972291474 is a wasteful number, since it uses less digits than its factorization.

66972291474 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 643575.

The product of its digits is 9144576, while the sum is 57.

The spelling of 66972291474 in words is "sixty-six billion, nine hundred seventy-two million, two hundred ninety-one thousand, four hundred seventy-four".

Divisors: 1 2 3 6 11 19 22 33 38 57 66 83 114 166 209 249 418 498 627 913 1254 1577 1826 2739 3154 4731 5478 9462 17347 34694 52041 104082 643457 1286914 1930371 3860742 7078027 12225683 14156054 21234081 24451366 36677049 42468162 53406931 73354098 106813862 134482513 160220793 268965026 320441586 403447539 587476241 806895078 1014731689 1174952482 1762428723 2029463378 3044195067 3524857446 6088390134 11162048579 22324097158 33486145737 66972291474