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5011854008 = 23723291091231
BaseRepresentation
bin1001010101011101…
…01101001010111000
3110221021200120012112
410222232231022320
540231013312013
62145153231452
7235125025160
oct45256551270
913837616175
105011854008
112142074107
12b7a562588
1361b44c2b5
143578a95a0
151e4ee8ba8
hex12abad2b8

5011854008 has 128 divisors (see below), whose sum is σ = 11708928000. Its totient is φ = 1963906560.

The previous prime is 5011853993. The next prime is 5011854019. The reversal of 5011854008 is 8004581105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4070753 + ... + 4071983.

It is an arithmetic number, because the mean of its divisors is an integer number (91476000).

Almost surely, 25011854008 is an apocalyptic number.

5011854008 is a gapful number since it is divisible by the number (58) 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 5011854008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5854464000).

5011854008 is an abundant number, since it is smaller than the sum of its proper divisors (6697073992).

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

5011854008 is a wasteful number, since it uses less digits than its factorization.

5011854008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1405 (or 1401 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 32.

The square root of 5011854008 is about 70794.4489914287. The cubic root of 5011854008 is about 1711.3262180665.

The spelling of 5011854008 in words is "five billion, eleven million, eight hundred fifty-four thousand, eight".

Divisors: 1 2 4 7 8 14 23 28 29 46 56 58 92 109 116 161 184 203 218 232 322 406 436 644 667 763 812 872 1231 1288 1334 1526 1624 2462 2507 2668 3052 3161 4669 4924 5014 5336 6104 6322 8617 9338 9848 10028 12644 17234 17549 18676 20056 22127 25288 28313 34468 35098 35699 37352 44254 56626 68936 70196 71398 72703 88508 113252 134179 140392 142796 145406 177016 198191 226504 249893 268358 285592 290812 396382 499786 508921 536716 581624 792764 821077 939253 999572 1017842 1073432 1585528 1642154 1878506 1999144 2035684 3086117 3284308 3757012 3891191 4071368 5747539 6172234 6568616 7514024 7782382 11495078 12344468 15564764 21602819 22990156 24688936 27238337 31129528 43205638 45980312 54476674 86411276 89497393 108953348 172822552 178994786 217906696 357989572 626481751 715979144 1252963502 2505927004 5011854008