Search a number
-
+
684069692544 = 27327607139753
BaseRepresentation
bin10011111010001011011…
…10110010010010000000
32102101200222210221010200
421331011232302102000
542201433320130134
61242131323325200
7100264612306320
oct11750556622200
92371628727120
10684069692544
11244126564947
12b06b1680800
134c679c75604
1425175715280
1512bda77b499
hex9f45bb2480

684069692544 has 192 divisors, whose sum is σ = 2253415856640. Its totient is φ = 195125096448.

The previous prime is 684069692533. The next prime is 684069692557. The reversal of 684069692544 is 445296960486.

684069692544 is a `hidden beast` number, since 6 + 8 + 406 + 96 + 92 + 54 + 4 = 666.

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

It is a super-3 number, since 3×6840696925443 (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4824972 + ... + 4964724.

It is an arithmetic number, because the mean of its divisors is an integer number (11736540920).

Almost surely, 2684069692544 is an apocalyptic number.

684069692544 is a gapful number since it is divisible by the number (64) 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 684069692544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1126707928320).

684069692544 is an abundant number, since it is smaller than the sum of its proper divisors (1569346164096).

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

684069692544 is a wasteful number, since it uses less digits than its factorization.

684069692544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140387 (or 140372 counting only the distinct ones).

The product of its (nonzero) digits is 89579520, while the sum is 63.

The spelling of 684069692544 in words is "six hundred eighty-four billion, sixty-nine million, six hundred ninety-two thousand, five hundred forty-four".