Search a number
-
+
1992323441250 = 23254548332299
BaseRepresentation
bin11100111111011111101…
…110110010001001100010
321001110112110001021001100
4130333133232302021202
5230120234300110000
64123132153415230
7263640426555222
oct34773756621142
97043473037040
101992323441250
116a8a3770865a
1228216110a516
13115b4c03890c
146c60113c082
1536c590c1a00
hex1cfdfbb2262

1992323441250 has 120 divisors (see below), whose sum is σ = 5395300138800. Its totient is φ = 531172908000.

The previous prime is 1992323441249. The next prime is 1992323441257. The reversal of 1992323441250 is 521443232991.

1992323441250 is a `hidden beast` number, since 19 + 9 + 232 + 344 + 12 + 50 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 1992323441196 and 1992323441205.

It is not an unprimeable number, because it can be changed into a prime (1992323441257) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 61667601 + ... + 61699899.

It is an arithmetic number, because the mean of its divisors is an integer number (44960834490).

Almost surely, 21992323441250 is an apocalyptic number.

1992323441250 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1992323441250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2697650069400).

1992323441250 is an abundant number, since it is smaller than the sum of its proper divisors (3402976697550).

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

1992323441250 is a wasteful number, since it uses less digits than its factorization.

1992323441250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37810 (or 37792 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 1992323441250 in words is "one trillion, nine hundred ninety-two billion, three hundred twenty-three million, four hundred forty-one thousand, two hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 125 150 225 250 375 450 625 750 1125 1250 1875 2250 3750 5483 5625 10966 11250 16449 27415 32299 32898 49347 54830 64598 82245 96897 98694 137075 161495 164490 193794 246735 274150 290691 322990 411225 484485 493470 581382 685375 807475 822450 968970 1233675 1370750 1453455 1614950 2056125 2422425 2467350 2906910 3426875 4037375 4112250 4844850 6168375 6853750 7267275 8074750 10280625 12112125 12336750 14534550 20186875 20561250 24224250 30841875 36336375 40373750 60560625 61683750 72672750 121121250 177095417 181681875 354190834 363363750 531286251 885477085 1062572502 1593858753 1770954170 2656431255 3187717506 4427385425 5312862510 7969293765 8854770850 13282156275 15938587530 22136927125 26564312550 39846468825 44273854250 66410781375 79692937650 110684635625 132821562750 199232344125 221369271250 332053906875 398464688250 664107813750 996161720625 1992323441250