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4991202720 = 2533572171973
BaseRepresentation
bin1001010010111111…
…11011010110100000
3110212211211100222000
410221133323112200
540210221441340
62143134444000
7234454344300
oct45137732640
913784740860
104991202720
112131449529
12b73663600
1361709b5ba
14354c51600
151e32b9d30
hex1297fb5a0

4991202720 has 1152 divisors, whose sum is σ = 22959417600. Its totient is φ = 1003290624.

The previous prime is 4991202677. The next prime is 4991202751. The reversal of 4991202720 is 272021994.

4991202720 is a `hidden beast` number, since 499 + 120 + 27 + 20 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 68372604 + ... + 68372676.

It is an arithmetic number, because the mean of its divisors is an integer number (19930050).

Almost surely, 24991202720 is an apocalyptic number.

4991202720 is a gapful number since it is divisible by the number (40) 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 4991202720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11479708800).

4991202720 is an abundant number, since it is smaller than the sum of its proper divisors (17968214880).

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

4991202720 is a wasteful number, since it uses less digits than its factorization.

4991202720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 4991202720 is about 70648.4445688651. Note that the first 3 decimals coincide. The cubic root of 4991202720 is about 1708.9724821161.

The spelling of 4991202720 in words is "four billion, nine hundred ninety-one million, two hundred two thousand, seven hundred twenty".