Search a number
-
+
183493255495680 = 220375131231
BaseRepresentation
bin101001101110001011011010…
…010100000000000000000000
3220001200210011110200020000000
4221232023122110000000000
5143022323141401330210
61450131345440000000
753435643633131424
oct5156133224000000
9801623143606000
10183493255495680
1153515064082579
12186b6280000000
137b50455567b60
143345199c72b84
1516331323d3ac0
hexa6e2da500000

183493255495680 has 1344 divisors, whose sum is σ = 711858277616640. Its totient is φ = 45130878812160.

The previous prime is 183493255495663. The next prime is 183493255495723. The reversal of 183493255495680 is 86594552394381.

183493255495680 is a `hidden beast` number, since 1 + 8 + 3 + 4 + 9 + 3 + 2 + 5 + 54 + 9 + 568 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 183493255495599 and 183493255495608.

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, 149060320665 + ... + 149060321895.

It is an arithmetic number, because the mean of its divisors is an integer number (529656456560).

Almost surely, 2183493255495680 is an apocalyptic number.

183493255495680 is a gapful number since it is divisible by the number (10) 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 183493255495680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355929138808320).

183493255495680 is an abundant number, since it is smaller than the sum of its proper divisors (528365022120960).

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

183493255495680 is an frugal number, since it uses more digits than its factorization.

183493255495680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1310 (or 1254 counting only the distinct ones).

The product of its (nonzero) digits is 1119744000, while the sum is 72.

The spelling of 183493255495680 in words is "one hundred eighty-three trillion, four hundred ninety-three billion, two hundred fifty-five million, four hundred ninety-five thousand, six hundred eighty".