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5084829696 = 21132335983
BaseRepresentation
bin1001011110001010…
…00101100000000000
3111010101000010000210
410233011011200000
540403204022241
62200321314120
7240002224242
oct45705054000
914111003023
105084829696
11217a2878a1
12b9aa95940
136305c038b
14363464092
151eb611316
hex12f145800

5084829696 has 96 divisors (see below), whose sum is σ = 14146030080. Its totient is φ = 1621204992.

The previous prime is 5084829691. The next prime is 5084829703. The reversal of 5084829696 is 6969284805.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5084829691) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 123321 + ... + 159303.

It is an arithmetic number, because the mean of its divisors is an integer number (147354480).

Almost surely, 25084829696 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 5084829696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7073015040).

5084829696 is an abundant number, since it is smaller than the sum of its proper divisors (9061200384).

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

5084829696 is a wasteful number, since it uses less digits than its factorization.

5084829696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36031 (or 36011 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 57.

The square root of 5084829696 is about 71307.9918101751. The cubic root of 5084829696 is about 1719.5922162908.

The spelling of 5084829696 in words is "five billion, eighty-four million, eight hundred twenty-nine thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 128 138 184 192 256 276 368 384 512 552 736 768 1024 1104 1472 1536 2048 2208 2944 3072 4416 5888 6144 8832 11776 17664 23552 35328 35983 47104 70656 71966 107949 141312 143932 215898 287864 431796 575728 827609 863592 1151456 1655218 1727184 2302912 2482827 3310436 3454368 4605824 4965654 6620872 6908736 9211648 9931308 13241744 13817472 18423296 19862616 26483488 27634944 36846592 39725232 52966976 55269888 73693184 79450464 105933952 110539776 158900928 211867904 221079552 317801856 423735808 635603712 847471616 1271207424 1694943232 2542414848 5084829696