Search a number
-
+
4901675688 = 23337131714669
BaseRepresentation
bin1001001000010100…
…11010001010101000
3110122121100220222000
410210022122022220
540014312110223
62130215531000
7232316361450
oct44412321250
913577326860
104901675688
112095960548
12b49689a60
13601683a20
14346dc8d60
151da4d3543
hex12429a2a8

4901675688 has 256 divisors, whose sum is σ = 17744832000. Its totient is φ = 1216622592.

The previous prime is 4901675663. The next prime is 4901675699. The reversal of 4901675688 is 8865761094.

4901675688 is a `hidden beast` number, since 490 + 1 + 6 + 75 + 6 + 88 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 326818 + ... + 341486.

It is an arithmetic number, because the mean of its divisors is an integer number (69315750).

Almost surely, 24901675688 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 4901675688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8872416000).

4901675688 is an abundant number, since it is smaller than the sum of its proper divisors (12843156312).

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

4901675688 is a wasteful number, since it uses less digits than its factorization.

4901675688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14721 (or 14711 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The square root of 4901675688 is about 70011.9681768767. The cubic root of 4901675688 is about 1698.6928461491.

The spelling of 4901675688 in words is "four billion, nine hundred one million, six hundred seventy-five thousand, six hundred eighty-eight".