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5040797184 = 2934121547
BaseRepresentation
bin1001011000111010…
…00111011000000000
3111000022011000210000
410230131013120000
540310421002214
62152105440000
7235626032463
oct45435073000
914008130700
105040797184
112157442595
12b881a0000
13624444237
1435b6812da
151e7814809
hex12c747600

5040797184 has 100 divisors (see below), whose sum is σ = 15045576084. Its totient is φ = 1680251904.

The previous prime is 5040797131. The next prime is 5040797189. The reversal of 5040797184 is 4817970405.

It is a happy number.

5040797184 is a `hidden beast` number, since 504 + 0 + 79 + 71 + 8 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5040797189) 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 9 ways as a sum of consecutive naturals, for example, 19302 + ... + 102245.

Almost surely, 25040797184 is an apocalyptic number.

5040797184 is a gapful number since it is divisible by the number (54) 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 5040797184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7522788042).

5040797184 is an abundant number, since it is smaller than the sum of its proper divisors (10004778900).

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

5040797184 is an equidigital number, since it uses as much as digits as its factorization.

5040797184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121577 (or 121552 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The square root of 5040797184 is about 70998.5717039435. The cubic root of 5040797184 is about 1714.6141679221.

The spelling of 5040797184 in words is "five billion, forty million, seven hundred ninety-seven thousand, one hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 512 576 648 768 864 1152 1296 1536 1728 2304 2592 3456 4608 5184 6912 10368 13824 20736 41472 121547 243094 364641 486188 729282 972376 1093923 1458564 1944752 2187846 2917128 3281769 3889504 4375692 5834256 6563538 7779008 8751384 9845307 11668512 13127076 15558016 17502768 19690614 23337024 26254152 31116032 35005536 39381228 46674048 52508304 62232064 70011072 78762456 93348096 105016608 140022144 157524912 186696192 210033216 280044288 315049824 420066432 560088576 630099648 840132864 1260199296 1680265728 2520398592 5040797184