Search a number
-
+
92397072768 = 27371113271887
BaseRepresentation
bin101011000001101001…
…0110111000110000000
322211111022101121210020
41112003102313012000
53003212122312033
6110240245533440
76450454105620
oct1260322670600
9284438347706
1092397072768
1136204814370
1215aa7714280
138936624730
1446873d8880
15260ba256b3
hex15834b7180

92397072768 has 512 divisors, whose sum is σ = 331116871680. Its totient is φ = 22046515200.

The previous prime is 92397072737. The next prime is 92397072821. The reversal of 92397072768 is 86727079329.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 104167621 + ... + 104168507.

It is an arithmetic number, because the mean of its divisors is an integer number (646712640).

Almost surely, 292397072768 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 92397072768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165558435840).

92397072768 is an abundant number, since it is smaller than the sum of its proper divisors (238719798912).

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

92397072768 is a wasteful number, since it uses less digits than its factorization.

92397072768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1206 (or 1194 counting only the distinct ones).

The product of its (nonzero) digits is 16003008, while the sum is 60.

The spelling of 92397072768 in words is "ninety-two billion, three hundred ninety-seven million, seventy-two thousand, seven hundred sixty-eight".