Search a number
-
+
97673548680 = 233653790529
BaseRepresentation
bin101101011110111001…
…1000001001110001000
3100100010001000101000000
41122331303001032020
53100013412024210
6112512015043000
710025304315411
oct1327563011610
9310101011000
1097673548680
1138472198864
1216b1a810460
139297835926
144a280a8808
152819d90ac0
hex16bdcc1388

97673548680 has 224 divisors, whose sum is σ = 338406571800. Its totient is φ = 25342046208.

The previous prime is 97673548673. The next prime is 97673548681. The reversal of 97673548680 is 8684537679.

97673548680 is a `hidden beast` number, since 9 + 7 + 6 + 7 + 3 + 548 + 6 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 97048448676 + 625100004 = 311526^2 + 25002^2 .

It is a super-2 number, since 2×976735486802 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (97673548681) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1033656 + ... + 1124184.

Almost surely, 297673548680 is an apocalyptic number.

97673548680 is a gapful number since it is divisible by the number (90) 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 97673548680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169203285900).

97673548680 is an abundant number, since it is smaller than the sum of its proper divisors (240733023120).

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

97673548680 is a wasteful number, since it uses less digits than its factorization.

97673548680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90595 (or 90576 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 97673548680 in words is "ninety-seven billion, six hundred seventy-three million, five hundred forty-eight thousand, six hundred eighty".