Search a number
-
+
5003661456 = 243234747649
BaseRepresentation
bin1001010100011110…
…11101000010010000
3110220201021100010200
410222033131002100
540221414131311
62144301455200
7234665264163
oct45217350220
913821240120
105003661456
112138488a02
12b77871500
13619841331
14356775ada
151e442b556
hex12a3dd090

5003661456 has 30 divisors (see below), whose sum is σ = 14003302950. Its totient is φ = 1667887104.

The previous prime is 5003661433. The next prime is 5003661461. The reversal of 5003661456 is 6541663005.

5003661456 is a `hidden beast` number, since 5 + 0 + 0 + 36 + 614 + 5 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4819136400 + 184525056 = 69420^2 + 13584^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 5003661456.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 17373681 + ... + 17373968.

It is an arithmetic number, because the mean of its divisors is an integer number (466776765).

Almost surely, 25003661456 is an apocalyptic number.

It is an amenable number.

5003661456 is an abundant number, since it is smaller than the sum of its proper divisors (8999641494).

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

5003661456 is a wasteful number, since it uses less digits than its factorization.

5003661456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34747663 (or 34747654 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 5003661456 is about 70736.5637842269. The cubic root of 5003661456 is about 1710.3932449446.

The spelling of 5003661456 in words is "five billion, three million, six hundred sixty-one thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 34747649 69495298 104242947 138990596 208485894 277981192 312728841 416971788 555962384 625457682 833943576 1250915364 1667887152 2501830728 5003661456