Search a number
-
+
97139683080 = 233351137223991
BaseRepresentation
bin101101001110111111…
…0011110111100001000
3100021201211110012002000
41122131332132330020
53042420224324310
6112343024311000
710006132453056
oct1323576367410
9307654405060
1097139683080
1138218900720
12169aba72460
13921105421b
1449b72191d6
1527d80884c0
hex169df9ef08

97139683080 has 512 divisors, whose sum is σ = 364776652800. Its totient is φ = 22786790400.

The previous prime is 97139683079. The next prime is 97139683087. The reversal of 97139683080 is 8038693179.

It is a super-2 number, since 2×971396830802 (a number of 23 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (97139683087) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 98021385 + ... + 98022375.

It is an arithmetic number, because the mean of its divisors is an integer number (712454400).

Almost surely, 297139683080 is an apocalyptic number.

97139683080 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 97139683080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182388326400).

97139683080 is an abundant number, since it is smaller than the sum of its proper divisors (267636969720).

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

97139683080 is a wasteful number, since it uses less digits than its factorization.

97139683080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1282 (or 1272 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 97139683080 in words is "ninety-seven billion, one hundred thirty-nine million, six hundred eighty-three thousand, eighty".