Search a number
-
+
673695817992 = 2332967312
BaseRepresentation
bin10011100110110110110…
…01100110000100001000
32101101221000112111112200
421303123121212010020
542014212112133432
61233254103240200
766446544653151
oct11633331460410
92341830474480
10673695817992
1123a7927a93aa
12aa697449060
134b6b59930c2
142486da6c928
15127ceb6aa7c
hex9cdb666108

673695817992 has 36 divisors (see below), whose sum is σ = 1824611703135. Its totient is φ = 224562951120.

The previous prime is 673695817987. The next prime is 673695817999. The reversal of 673695817992 is 299718596376.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

673695817992 is a `hidden beast` number, since 6 + 7 + 36 + 9 + 581 + 7 + 9 + 9 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 336847908996 + 336847908996 = 580386^2 + 580386^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=580386.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 673695817992.

It is not an unprimeable number, because it can be changed into a prime (673695817999) 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, 6916267 + ... + 7012997.

Almost surely, 2673695817992 is an apocalyptic number.

It is an amenable number.

673695817992 is an abundant number, since it is smaller than the sum of its proper divisors (1150915885143).

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

673695817992 is an frugal number, since it uses more digits than its factorization.

673695817992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193474 (or 96736 counting only the distinct ones).

The product of its digits is 308629440, while the sum is 72.

Multiplying 673695817992 by its sum of digits (72), we get a square (48506098895424 = 69646322).

673695817992 divided by its sum of digits (72) gives a square (9356886361 = 967312).

The spelling of 673695817992 in words is "six hundred seventy-three billion, six hundred ninety-five million, eight hundred seventeen thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 96731 193462 290193 386924 580386 773848 870579 1160772 1741158 2321544 3482316 6964632 9356886361 18713772722 28070659083 37427545444 56141318166 74855090888 84211977249 112282636332 168423954498 224565272664 336847908996 673695817992