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6057983816872 = 2313233114939067
BaseRepresentation
bin101100000100111101111…
…1110010011010010101000
3210110010201022022122100021
41120021323332103102220
51243223222324114442
620514555505250224
71163450325553021
oct130117376232250
923403638278307
106057983816872
111a261a3a2a269
1281a0b2633974
1334c35b197900
1416d2ca9b3c48
15a78ae6cce67
hex5827bf934a8

6057983816872 has 96 divisors (see below), whose sum is σ = 12346462493280. Its totient is φ = 2785371114240.

The previous prime is 6057983816869. The next prime is 6057983816879. The reversal of 6057983816872 is 2786183897506.

It is not an unprimeable number, because it can be changed into a prime (6057983816879) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 668130883 + ... + 668139949.

It is an arithmetic number, because the mean of its divisors is an integer number (128608984305).

Almost surely, 26057983816872 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 6057983816872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6173231246640).

6057983816872 is an abundant number, since it is smaller than the sum of its proper divisors (6288478676408).

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

6057983816872 is a wasteful number, since it uses less digits than its factorization.

6057983816872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10923 (or 10906 counting only the distinct ones).

The product of its (nonzero) digits is 243855360, while the sum is 70.

The spelling of 6057983816872 in words is "six trillion, fifty-seven billion, nine hundred eighty-three million, eight hundred sixteen thousand, eight hundred seventy-two".

Divisors: 1 2 4 8 13 26 52 104 169 331 338 662 676 1324 1352 1493 2648 2986 4303 5972 8606 9067 11944 17212 18134 19409 34424 36268 38818 55939 72536 77636 111878 117871 155272 223756 235742 252317 447512 471484 494183 504634 942968 988366 1009268 1532323 1976732 2018536 3001177 3064646 3953464 6002354 6129292 6424379 12004708 12258584 12848758 13537031 24009416 25697516 27074062 39015301 51395032 54148124 78030602 83516927 108296248 156061204 167033854 175981403 312122408 334067708 351962806 507198913 668135416 703925612 1014397826 1407851224 2028795652 2287758239 4057591304 4480757261 4575516478 8961514522 9151032956 17923029044 18302065912 35846058088 58249844393 116499688786 232999377572 465998755144 757247977109 1514495954218 3028991908436 6057983816872