Search a number
-
+
92234357392384 = 2102927921312
BaseRepresentation
bin10100111110001011111100…
…000110111100010000000000
3110002120111222221201011221001
4110332023330012330100000
544042131430443024014
6524055513454541344
725266466234115524
oct2476137406742000
9402514887634831
1092234357392384
112743040a2265a9
12a417777807854
133c6087c8cb63c
1418ac249685d84
15a9e362226974
hex53e2fc1bc400

92234357392384 has 297 divisors, whose sum is σ = 194891155028661. Its totient is φ = 43627701411840.

The previous prime is 92234357392379. The next prime is 92234357392403. The reversal of 92234357392384 is 48329375343229.

The square root of 92234357392384 is 9603872.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 48365459702784 + 43868897689600 = 6954528^2 + 6623360^2 .

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 704079063999 + ... + 704079064129.

Almost surely, 292234357392384 is an apocalyptic number.

92234357392384 is the 9603872-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 92234357392384

92234357392384 is an abundant number, since it is smaller than the sum of its proper divisors (102656797636277).

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

92234357392384 is an frugal number, since it uses more digits than its factorization.

92234357392384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498 (or 241 counting only the distinct ones).

The product of its digits is 235146240, while the sum is 64.

92234357392384 divided by its sum of digits (64) gives a square (1441161834256 = 12004842).

The spelling of 92234357392384 in words is "ninety-two trillion, two hundred thirty-four billion, three hundred fifty-seven million, three hundred ninety-two thousand, three hundred eighty-four".