Search a number
-
+
693198237468672 = 21135131031278191
BaseRepresentation
bin1001110110011101011100101…
…0101101000000100000000000
310100220102002211001000112200000
42131213113022231000200000
51211324324442242444142
610454150512442400000
7266003630353015005
oct23547271255004000
93326362731015600
10693198237468672
111909687a3457111
12658b6567200000
13239a440c444970
14c326d8bc078ac
155521a24b0b14c
hex27675cab40800

693198237468672 has 1152 divisors, whose sum is σ = 2275708218900480. Its totient is φ = 209532230369280.

The previous prime is 693198237468637. The next prime is 693198237468677. The reversal of 693198237468672 is 276864732891396.

693198237468672 is a `hidden beast` number, since 6 + 9 + 3 + 1 + 9 + 82 + 3 + 7 + 468 + 6 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-3 number, since 3×6931982374686723 (a number of 45 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a junction number, because it is equal to n+sod(n) for n = 693198237468591 and 693198237468600.

It is not an unprimeable number, because it can be changed into a prime (693198237468677) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 84629252097 + ... + 84629260287.

It is an arithmetic number, because the mean of its divisors is an integer number (1975441162240).

Almost surely, 2693198237468672 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 693198237468672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1137854109450240).

693198237468672 is an abundant number, since it is smaller than the sum of its proper divisors (1582509981431808).

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

693198237468672 is a wasteful number, since it uses less digits than its factorization.

693198237468672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8471 (or 8439 counting only the distinct ones).

The product of its digits is 7900913664, while the sum is 81.

The spelling of 693198237468672 in words is "six hundred ninety-three trillion, one hundred ninety-eight billion, two hundred thirty-seven million, four hundred sixty-eight thousand, six hundred seventy-two".