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5930142606304 = 257231412975593
BaseRepresentation
bin101011001001011100000…
…0010110010001111100000
3202222220201211112021002121
41112102320002302033200
51234124413001400204
620340134144354024
71151303314315300
oct126227002621740
922886654467077
105930142606304
111986a609a2634
127b9374915914
13340296625b97
141670400d9600
15a43cb145b54
hex564b80b23e0

5930142606304 has 144 divisors (see below), whose sum is σ = 14361121224576. Its totient is φ = 2399517388800.

The previous prime is 5930142606301. The next prime is 5930142606361. The reversal of 5930142606304 is 4036062410395.

It is a super-2 number, since 2×59301426063042 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5930142606301) 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, 505132 + ... + 3480724.

It is an arithmetic number, because the mean of its divisors is an integer number (99730008504).

Almost surely, 25930142606304 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 5930142606304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7180560612288).

5930142606304 is an abundant number, since it is smaller than the sum of its proper divisors (8430978618272).

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

5930142606304 is a wasteful number, since it uses less digits than its factorization.

5930142606304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2975689 (or 2975674 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 43.

The spelling of 5930142606304 in words is "five trillion, nine hundred thirty billion, one hundred forty-two million, six hundred six thousand, three hundred four".

Divisors: 1 2 4 7 8 14 16 28 31 32 41 49 56 62 82 98 112 124 164 196 217 224 248 287 328 392 434 496 574 656 784 868 992 1148 1271 1312 1519 1568 1736 2009 2296 2542 3038 3472 4018 4592 5084 6076 6944 8036 8897 9184 10168 12152 16072 17794 20336 24304 32144 35588 40672 48608 62279 64288 71176 124558 142352 249116 284704 498232 996464 1992928 2975593 5951186 11902372 20829151 23804744 41658302 47609488 83316604 92243383 95218976 121999313 145804057 166633208 184486766 243998626 291608114 333266416 368973532 487997252 583216228 645703681 666532832 737947064 853995191 975994504 1166432456 1291407362 1475894128 1707990382 1951989008 2332864912 2582814724 2951788256 3415980764 3781978703 3903978016 4519925767 4665729824 5165629448 5977966337 6831961528 7563957406 9039851534 10331258896 11955932674 13663923056 15127914812 18079703068 20662517792 23911865348 26473850921 27327846112 30255829624 36159406136 47823730696 52947701842 60511659248 72318812272 95647461392 105895403684 121023318496 144637624544 185316956447 191294922784 211790807368 370633912894 423581614736 741267825788 847163229472 1482535651576 2965071303152 5930142606304