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4993748172 = 223572104849
BaseRepresentation
bin1001010011010011…
…01000110011001100
3110220000121200200000
410221221220303030
540211344420142
62143305204300
7234515105400
oct45151506314
913800550600
104993748172
112132927a06
12b74490690
1361778009a
14355315100
151e361e14c
hex129a68ccc

4993748172 has 108 divisors (see below), whose sum is σ = 15227994600. Its totient is φ = 1426771584.

The previous prime is 4993748159. The next prime is 4993748173. The reversal of 4993748172 is 2718473994.

4993748172 is a `hidden beast` number, since 4 + 9 + 93 + 7 + 481 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (108).

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

It is not an unprimeable number, because it can be changed into a prime (4993748173) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4797 + ... + 100052.

It is an arithmetic number, because the mean of its divisors is an integer number (140999950).

Almost surely, 24993748172 is an apocalyptic number.

4993748172 is a gapful number since it is divisible by the number (42) 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 4993748172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7613997300).

4993748172 is an abundant number, since it is smaller than the sum of its proper divisors (10234246428).

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

4993748172 is a wasteful number, since it uses less digits than its factorization.

4993748172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104882 (or 104861 counting only the distinct ones).

The product of its digits is 3048192, while the sum is 54.

The square root of 4993748172 is about 70666.4571915134. The cubic root of 4993748172 is about 1709.2629510588.

The spelling of 4993748172 in words is "four billion, nine hundred ninety-three million, seven hundred forty-eight thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 81 84 98 108 126 147 162 189 196 243 252 294 324 378 441 486 567 588 756 882 972 1134 1323 1701 1764 2268 2646 3402 3969 5292 6804 7938 11907 15876 23814 47628 104849 209698 314547 419396 629094 733943 943641 1258188 1467886 1887282 2201829 2830923 2935772 3774564 4403658 5137601 5661846 6605487 8492769 8807316 10275202 11323692 13210974 15412803 16985538 19816461 20550404 25478307 26421948 30825606 33971076 39632922 46238409 50956614 59449383 61651212 79265844 92476818 101913228 118898766 138715227 178348149 184953636 237797532 277430454 356696298 416145681 554860908 713392596 832291362 1248437043 1664582724 2496874086 4993748172