Search a number
-
+
5047368192 = 29321095349
BaseRepresentation
bin1001011001101100…
…01011101000000000
3111000202111212111200
410230312023220000
540314111240232
62152502341200
7236035631106
oct45466135000
914022455450
105047368192
112160120479
12b8a42a800
136259050c9
1435c4b1c76
151e81b177c
hex12cd8ba00

5047368192 has 60 divisors (see below), whose sum is σ = 14567059650. Its totient is φ = 1682454528.

The previous prime is 5047368169. The next prime is 5047368197. The reversal of 5047368192 is 2918637405.

5047368192 is a `hidden beast` number, since 504 + 73 + 68 + 19 + 2 = 666.

5047368192 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 4280299776 + 767068416 = 65424^2 + 27696^2 .

It is a super-2 number, since 2×50473681922 = 50951851331226697728, which contains 22 as substring.

5047368192 is strictly pandigital in base 10.

It is not an unprimeable number, because it can be changed into a prime (5047368197) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 543067 + ... + 552282.

It is a 1-persistent number, because it is pandigital, but 2⋅5047368192 = 10094736384 is not.

Almost surely, 25047368192 is an apocalyptic number.

It is an amenable number.

5047368192 is an abundant number, since it is smaller than the sum of its proper divisors (9519691458).

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

5047368192 is a wasteful number, since it uses less digits than its factorization.

5047368192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1095373 (or 1095354 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 5047368192 is about 71044.8322680827. The cubic root of 5047368192 is about 1715.3588815656.

The spelling of 5047368192 in words is "five billion, forty-seven million, three hundred sixty-eight thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1152 1536 2304 4608 1095349 2190698 3286047 4381396 6572094 8762792 9858141 13144188 17525584 19716282 26288376 35051168 39432564 52576752 70102336 78865128 105153504 140204672 157730256 210307008 280409344 315460512 420614016 560818688 630921024 841228032 1261842048 1682456064 2523684096 5047368192