Search a number
-
+
674451702144 = 2735111971251
BaseRepresentation
bin10011101000010000111…
…01000100000110000000
32101110212200212101200000
421310020131010012000
542022234113432034
61233501104400000
766504353610063
oct11641035040600
92343780771600
10674451702144
11240040448350
12aa868616000
134b7a646ac2c
14249021d28da
15128261cb599
hex9d08744180

674451702144 has 192 divisors, whose sum is σ = 2195659327680. Its totient is φ = 204379200000.

The previous prime is 674451702139. The next prime is 674451702161. The reversal of 674451702144 is 441207154476.

674451702144 is a `hidden beast` number, since 6 + 74 + 4 + 517 + 0 + 21 + 44 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 674451702144.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 643482 + ... + 1327769.

It is an arithmetic number, because the mean of its divisors is an integer number (11435725665).

Almost surely, 2674451702144 is an apocalyptic number.

674451702144 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

674451702144 is an abundant number, since it is smaller than the sum of its proper divisors (1521207625536).

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

674451702144 is a wasteful number, since it uses less digits than its factorization.

674451702144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1971291 (or 1971267 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The spelling of 674451702144 in words is "six hundred seventy-four billion, four hundred fifty-one million, seven hundred two thousand, one hundred forty-four".