Search a number
-
+
670408809408 = 26341322926387
BaseRepresentation
bin10011100000101110111…
…10101001101111000000
32101002102221110011110000
421300113132221233000
541440444123400113
61231552003240000
766302232566562
oct11602736515700
92332387404400
10670408809408
11239356328188
12a9b1a679000
134b2b09ac100
142463b2b5332
151268b2d2373
hex9c177a9bc0

670408809408 has 420 divisors, whose sum is σ = 2226219134040. Its totient is φ = 199158994944.

The previous prime is 670408809397. The next prime is 670408809409. The reversal of 670408809408 is 804908804076.

670408809408 is a `hidden beast` number, since 6 + 70 + 408 + 80 + 94 + 0 + 8 = 666.

670408809408 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (670408809409) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 25393591 + ... + 25419977.

Almost surely, 2670408809408 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 670408809408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1113109567020).

670408809408 is an abundant number, since it is smaller than the sum of its proper divisors (1555810324632).

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

670408809408 is a wasteful number, since it uses less digits than its factorization.

670408809408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26466 (or 26434 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 670408809408 in words is "six hundred seventy billion, four hundred eight million, eight hundred nine thousand, four hundred eight".