Search a number
-
+
97690914048 = 2837133167673
BaseRepresentation
bin101101011111011010…
…1010000110100000000
3100100011020200121210210
41122332311100310000
53100032333222143
6112513435154120
710025605032330
oct1327665206400
9310136617723
1097690914048
1138480a79702
1216b245a5940
13929b305ab0
144a2a5090c0
15281b671033
hex16bed50d00

97690914048 has 576 divisors, whose sum is σ = 335751299072. Its totient is φ = 24524881920.

The previous prime is 97690913987. The next prime is 97690914091. The reversal of 97690914048 is 84041909679.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 145157040 + ... + 145157712.

Almost surely, 297690914048 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 97690914048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167875649536).

97690914048 is an abundant number, since it is smaller than the sum of its proper divisors (238060385024).

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

97690914048 is a wasteful number, since it uses less digits than its factorization.

97690914048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 810 (or 796 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 57.

The spelling of 97690914048 in words is "ninety-seven billion, six hundred ninety million, nine hundred fourteen thousand, forty-eight".