Search a number
-
+
97690619520 = 273251323131433
BaseRepresentation
bin101101011111011010…
…0001000111010000000
3100100011020010122210100
41122332310020322000
53100032244311040
6112513425002400
710025602364544
oct1327664107200
9310136118710
1097690619520
113848089839a
1216b24483400
13929b231a10
144a2a46da24
15281b613b30
hex16bed08e80

97690619520 has 768 divisors, whose sum is σ = 382857995520. Its totient is φ = 22773104640.

The previous prime is 97690619513. The next prime is 97690619531. The reversal of 97690619520 is 2591609679.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 225613224 + ... + 225613656.

It is an arithmetic number, because the mean of its divisors is an integer number (498513015).

Almost surely, 297690619520 is an apocalyptic number.

97690619520 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 97690619520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191428997760).

97690619520 is an abundant number, since it is smaller than the sum of its proper divisors (285167376000).

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

97690619520 is a wasteful number, since it uses less digits than its factorization.

97690619520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 625 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 1837080, while the sum is 54.

The spelling of 97690619520 in words is "ninety-seven billion, six hundred ninety million, six hundred nineteen thousand, five hundred twenty".