Search a number
-
+
676404546720 = 253571013675431
BaseRepresentation
bin10011101011111001101…
…10100100110010100000
32101122220210111011210220
421311330312210302200
542040234030443340
61234422544523040
766603635532360
oct11657466446240
92348823434726
10676404546720
11240952807391
12ab112620480
134ba27c14876
1424a496d49a0
15128dc876ed0
hex9d7cda4ca0

676404546720 has 384 divisors, whose sum is σ = 2466320596992. Its totient is φ = 152630784000.

The previous prime is 676404546703. The next prime is 676404546739. The reversal of 676404546720 is 27645404676.

676404546720 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 super-2 number, since 2×6764045467202 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 124542405 + ... + 124547835.

It is an arithmetic number, because the mean of its divisors is an integer number (6422709888).

Almost surely, 2676404546720 is an apocalyptic number.

676404546720 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 676404546720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1233160298496).

676404546720 is an abundant number, since it is smaller than the sum of its proper divisors (1789916050272).

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

676404546720 is a wasteful number, since it uses less digits than its factorization.

676404546720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5924 (or 5916 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 51.

The spelling of 676404546720 in words is "six hundred seventy-six billion, four hundred four million, five hundred forty-six thousand, seven hundred twenty".