Search a number
-
+
199682573292 = 223231379472103
BaseRepresentation
bin1011100111111000000…
…0100100001111101100
3201002102012222201220200
42321332000210033230
511232422214321132
6231422150313500
720266214603466
oct2717600441754
9632365881820
10199682573292
1177759674884
1232849358890
1315aa362c317
149943c93136
1552da671d7c
hex2e7e0243ec

199682573292 has 72 divisors (see below), whose sum is σ = 522411402240. Its totient is φ = 64243640160.

The previous prime is 199682573287. The next prime is 199682573303. The reversal of 199682573292 is 292375286991.

199682573292 is a `hidden beast` number, since 1 + 9 + 96 + 8 + 257 + 3 + 292 = 666.

199682573292 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 186913 + ... + 659015.

It is an arithmetic number, because the mean of its divisors is an integer number (7255713920).

Almost surely, 2199682573292 is an apocalyptic number.

199682573292 is a gapful number since it is divisible by the number (12) 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 199682573292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261205701120).

199682573292 is an abundant number, since it is smaller than the sum of its proper divisors (322728828948).

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

199682573292 is a wasteful number, since it uses less digits than its factorization.

199682573292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472523 (or 472518 counting only the distinct ones).

The product of its digits is 29393280, while the sum is 63.

The spelling of 199682573292 in words is "one hundred ninety-nine billion, six hundred eighty-two million, five hundred seventy-three thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 186 279 372 379 558 758 1116 1137 1516 2274 3411 4548 6822 11749 13644 23498 35247 46996 70494 105741 140988 211482 422964 472103 944206 1416309 1888412 2832618 4248927 5665236 8497854 14635193 16995708 29270386 43905579 58540772 87811158 131716737 175622316 178927037 263433474 357854074 526866948 536781111 715708148 1073562222 1610343333 2147124444 3220686666 5546738147 6441373332 11093476294 16640214441 22186952588 33280428882 49920643323 66560857764 99841286646 199682573292