Search a number
-
+
4992882464700 = 223252139711093967
BaseRepresentation
bin100100010100111111011…
…1111000101011110111100
3122200022111120012212111200
41020221332333011132330
51123300410402332300
614341410515015500
71023503165465304
oct110517677053674
918608446185450
104992882464700
111655518a94989
126877a229a590
132a2a99618210
1413392a392604
1589d2293c200
hex48a7efc57bc

4992882464700 has 432 divisors, whose sum is σ = 17047152245760. Its totient is φ = 1214943805440.

The previous prime is 4992882464681. The next prime is 4992882464701. The reversal of 4992882464700 is 74642882994.

4992882464700 is a `hidden beast` number, since 4 + 9 + 9 + 28 + 82 + 464 + 70 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4992882464701) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1258602117 + ... + 1258606083.

Almost surely, 24992882464700 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4992882464700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8523576122880).

4992882464700 is an abundant number, since it is smaller than the sum of its proper divisors (12054269781060).

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

4992882464700 is a wasteful number, since it uses less digits than its factorization.

4992882464700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5206 (or 5196 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 63.

The spelling of 4992882464700 in words is "four trillion, nine hundred ninety-two billion, eight hundred eighty-two million, four hundred sixty-four thousand, seven hundred".