Search a number
-
+
200060296800 = 2535272131071223
BaseRepresentation
bin1011101001010010000…
…1011101111001100000
3201010101112202002011020
42322110201131321200
511234210413444200
6231523442245440
720311452315300
oct2722441357140
9633345662136
10200060296800
1177932905071
1232933956880
1315b33971260
14997c0d9600
15530d8d4ea0
hex2e9485de60

200060296800 has 864 divisors, whose sum is σ = 824081755392. Its totient is φ = 41781841920.

The previous prime is 200060296781. The next prime is 200060296811. The reversal of 200060296800 is 8692060002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 163580989 + ... + 163582211.

It is an arithmetic number, because the mean of its divisors is an integer number (953798328).

Almost surely, 2200060296800 is an apocalyptic number.

200060296800 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 200060296800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412040877696).

200060296800 is an abundant number, since it is smaller than the sum of its proper divisors (624021458592).

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

200060296800 is a wasteful number, since it uses less digits than its factorization.

200060296800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1380 (or 1360 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The spelling of 200060296800 in words is "two hundred billion, sixty million, two hundred ninety-six thousand, eight hundred".