Search a number
-
+
5047960500 = 223653111259
BaseRepresentation
bin1001011001110000…
…11100001110110100
3111000210121222000000
410230320130032310
540314234214000
62152523151300
7236043646002
oct45470341664
914023558000
105047960500
112160495490
12b8a675530
13625a8189b
1435c5c7a72
151e827c000
hex12ce1c3b4

5047960500 has 336 divisors, whose sum is σ = 18046566720. Its totient is φ = 1222776000.

The previous prime is 5047960457. The next prime is 5047960513. The reversal of 5047960500 is 50697405.

5047960500 is a `hidden beast` number, since 5 + 0 + 47 + 9 + 605 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 4008871 + ... + 4010129.

It is an arithmetic number, because the mean of its divisors is an integer number (53710020).

Almost surely, 25047960500 is an apocalyptic number.

5047960500 is a gapful number since it is divisible by the number (50) 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 5047960500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9023283360).

5047960500 is an abundant number, since it is smaller than the sum of its proper divisors (12998606220).

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

5047960500 is a wasteful number, since it uses less digits than its factorization.

5047960500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1307 (or 1280 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 5047960500 is about 71049.0006967023. Note that the first 3 decimals coincide. The cubic root of 5047960500 is about 1715.4259779882.

The spelling of 5047960500 in words is "five billion, forty-seven million, nine hundred sixty thousand, five hundred".