Search a number
-
+
200992760640 = 26335723315979
BaseRepresentation
bin1011101100110000011…
…0100010001101000000
3201012210112100011002000
42323030012202031000
511243113121320030
6232200152224000
720343534163620
oct2731406421500
9635715304060
10200992760640
117827119aa41
1232b5409b000
1315c51bc31c9
149a29ca6880
1553656c5860
hex2ecc1a2340

200992760640 has 1792 divisors, whose sum is σ = 898891776000. Its totient is φ = 41276252160.

The previous prime is 200992760599. The next prime is 200992760641. The reversal of 200992760640 is 46067299002.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200992760641) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2544212121 + ... + 2544212199.

Almost surely, 2200992760640 is an apocalyptic number.

200992760640 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 200992760640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449445888000).

200992760640 is an abundant number, since it is smaller than the sum of its proper divisors (697899015360).

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

200992760640 is a wasteful number, since it uses less digits than its factorization.

200992760640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 200992760640 in words is "two hundred billion, nine hundred ninety-two million, seven hundred sixty thousand, six hundred forty".