Search a number
-
+
92497098672 = 243211247179631
BaseRepresentation
bin101011000100101000…
…0011011011110110000
322211202021121110112100
41112021100123132300
53003413224124142
6110254221500400
76453110236416
oct1261120333660
9284667543470
1092497098672
1136256223300
1215b15111700
138951276c64
1446967d52b6
1526156d2b4c
hex158941b7b0

92497098672 has 360 divisors, whose sum is σ = 292676267520. Its totient is φ = 27236563200.

The previous prime is 92497098671. The next prime is 92497098679. The reversal of 92497098672 is 27689079429.

It is not an unprimeable number, because it can be changed into a prime (92497098671) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 146587797 + ... + 146588427.

It is an arithmetic number, because the mean of its divisors is an integer number (812989632).

Almost surely, 292497098672 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 92497098672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146338133760).

92497098672 is an abundant number, since it is smaller than the sum of its proper divisors (200179168848).

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

92497098672 is a wasteful number, since it uses less digits than its factorization.

92497098672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 893 (or 873 counting only the distinct ones).

The product of its (nonzero) digits is 27433728, while the sum is 63.

The spelling of 92497098672 in words is "ninety-two billion, four hundred ninety-seven million, ninety-eight thousand, six hundred seventy-two".