Search a number
-
+
245708881920 = 21833553131
BaseRepresentation
bin1110010011010101100…
…1000000000000000000
3212111012212121110202000
43210311121000000000
513011202433210140
6304513242024000
723515616015265
oct3446531000000
9774185543660
10245708881920
1195228292777
123b7534a8000
131a22a05c378
14bc6c95b26c
1565d123ba30
hex3935640000

245708881920 has 608 divisors, whose sum is σ = 896908256640. Its totient is φ = 63795363840.

The previous prime is 245708881883. The next prime is 245708881963. The reversal of 245708881920 is 29188807542.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1875640255 + ... + 1875640385.

Almost surely, 2245708881920 is an apocalyptic number.

245708881920 is a gapful number since it is divisible by the number (20) 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 245708881920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448454128320).

245708881920 is an abundant number, since it is smaller than the sum of its proper divisors (651199374720).

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

245708881920 is an frugal number, since it uses more digits than its factorization.

245708881920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 54.

The spelling of 245708881920 in words is "two hundred forty-five billion, seven hundred eight million, eight hundred eighty-one thousand, nine hundred twenty".