Search a number
-
+
200702720574720 = 2834573131973313
BaseRepresentation
bin101101101000100110111110…
…010111011000010100000000
3222022121222210200100222020000
4231220212332113120110000
5202301303132431342340
61550505320150120000
760163202341536000
oct5550467627302400
9868558720328200
10200702720574720
1158a4a600501001
121a615647050000
1387cb254267440
14377c0c6396000
151830b11de2d30
hexb689be5d8500

200702720574720 has 5760 divisors, whose sum is σ = 965465837952000. Its totient is φ = 39441361010688.

The previous prime is 200702720574709. The next prime is 200702720574721. The reversal of 200702720574720 is 27475027207002.

200702720574720 is a `hidden beast` number, since 2 + 0 + 0 + 7 + 0 + 2 + 7 + 2 + 0 + 574 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5760).

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 (200702720574721) by changing a digit.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 641222749284 + ... + 641222749596.

Almost surely, 2200702720574720 is an apocalyptic number.

200702720574720 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 200702720574720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482732918976000).

200702720574720 is an abundant number, since it is smaller than the sum of its proper divisors (764763117377280).

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

200702720574720 is a wasteful number, since it uses less digits than its factorization.

200702720574720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 768320, while the sum is 45.

The spelling of 200702720574720 in words is "two hundred trillion, seven hundred two billion, seven hundred twenty million, five hundred seventy-four thousand, seven hundred twenty".