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5700019872 = 253736311289
BaseRepresentation
bin1010100111011111…
…10110011010100000
3112201020121000022010
411103233312122200
543133201113442
62341335112520
7261152240511
oct52357663240
915636530263
105700019872
112465570328
121130b12740
136caba7031
143c1042a08
1523562eb9c
hex153bf66a0

5700019872 has 96 divisors (see below), whose sum is σ = 15203341440. Its totient is φ = 1869557760.

The previous prime is 5700019859. The next prime is 5700019877. The reversal of 5700019872 is 2789100075.

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

It is a self number, because there is not a number n which added to its sum of digits gives 5700019872.

It is not an unprimeable number, because it can be changed into a prime (5700019877) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4421404 + ... + 4422692.

It is an arithmetic number, because the mean of its divisors is an integer number (158368140).

Almost surely, 25700019872 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 5700019872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7601670720).

5700019872 is an abundant number, since it is smaller than the sum of its proper divisors (9503321568).

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

5700019872 is a wasteful number, since it uses less digits than its factorization.

5700019872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2006 (or 1998 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 39.

The square root of 5700019872 is about 75498.4759581278. The cubic root of 5700019872 is about 1786.3180635929.

The spelling of 5700019872 in words is "five billion, seven hundred million, nineteen thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 73 96 146 219 292 438 584 631 876 1168 1262 1289 1752 1893 2336 2524 2578 3504 3786 3867 5048 5156 7008 7572 7734 10096 10312 15144 15468 20192 20624 30288 30936 41248 46063 60576 61872 92126 94097 123744 138189 184252 188194 276378 282291 368504 376388 552756 564582 737008 752776 813359 1105512 1129164 1474016 1505552 1626718 2211024 2258328 2440077 3011104 3253436 4422048 4516656 4880154 6506872 9033312 9760308 13013744 19520616 26027488 39041232 59375207 78082464 118750414 178125621 237500828 356251242 475001656 712502484 950003312 1425004968 1900006624 2850009936 5700019872