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5045021856 = 2532719712703
BaseRepresentation
bin1001011001011010…
…01110110010100000
3111000121002122221100
410230231032302200
540313011144411
62152340154400
7236006656350
oct45455166240
914017078840
105045021856
112159868656
12b89698a00
13625293144
1435c060b60
151e7d9b456
hex12cb4eca0

5045021856 has 144 divisors (see below), whose sum is σ = 16480848384. Its totient is φ = 1434004992.

The previous prime is 5045021831. The next prime is 5045021867. The reversal of 5045021856 is 6581205405.

5045021856 is a `hidden beast` number, since 504 + 50 + 21 + 85 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a self number, because there is not a number n which added to its sum of digits gives 5045021856.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 390801 + ... + 403503.

It is an arithmetic number, because the mean of its divisors is an integer number (114450336).

Almost surely, 25045021856 is an apocalyptic number.

5045021856 is a gapful number since it is divisible by the number (56) 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 5045021856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8240424192).

5045021856 is an abundant number, since it is smaller than the sum of its proper divisors (11435826528).

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

5045021856 is a wasteful number, since it uses less digits than its factorization.

5045021856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12923 (or 12912 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The square root of 5045021856 is about 71028.3172826162. The cubic root of 5045021856 is about 1715.0930379308.

The spelling of 5045021856 in words is "five billion, forty-five million, twenty-one thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 197 224 252 288 336 394 504 591 672 788 1008 1182 1379 1576 1773 2016 2364 2758 3152 3546 4137 4728 5516 6304 7092 8274 9456 11032 12411 12703 14184 16548 18912 22064 24822 25406 28368 33096 38109 44128 49644 50812 56736 66192 76218 88921 99288 101624 114327 132384 152436 177842 198576 203248 228654 266763 304872 355684 397152 406496 457308 533526 609744 711368 800289 914616 1067052 1219488 1422736 1600578 1829232 2134104 2502491 2845472 3201156 3658464 4268208 5004982 6402312 7507473 8536416 10009964 12804624 15014946 17517437 20019928 22522419 25609248 30029892 35034874 40039856 45044838 52552311 60059784 70069748 80079712 90089676 105104622 120119568 140139496 157656933 180179352 210209244 240239136 280278992 315313866 360358704 420418488 560557984 630627732 720717408 840836976 1261255464 1681673952 2522510928 5045021856