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159412426337800 = 23521097312496621
BaseRepresentation
bin100100001111110000011001…
…000010110110111000001000
3202220102200100002012100122001
4210033300121002312320020
5131343303122120302200
61323013020242240344
745402111350435026
oct4417603102667010
9686380302170561
10159412426337800
1146880480881249
1215a672430560b4
136ac46b163212c
142b51861781716
151366a3a3dc76a
hex90fc190b6e08

159412426337800 has 48 divisors (see below), whose sum is σ = 374034202215300. Its totient is φ = 63179970796800.

The previous prime is 159412426337797. The next prime is 159412426337807. The reversal of 159412426337800 is 8733624214951.

It can be written as a sum of positive squares in 6 ways, for example, as 79309675737604 + 80102750600196 = 8905598^2 + 8950014^2 .

It is a super-2 number, since 2×1594124263378002 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (159412426337807) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3656226511 + ... + 3656270110.

It is a 1-persistent number, because it is pandigital, but 2⋅159412426337800 = 318824852675600 is not.

Almost surely, 2159412426337800 is an apocalyptic number.

159412426337800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

159412426337800 is an abundant number, since it is smaller than the sum of its proper divisors (214621775877500).

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

159412426337800 is a wasteful number, since it uses less digits than its factorization.

159412426337800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7312496746 (or 7312496737 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 55.

The spelling of 159412426337800 in words is "one hundred fifty-nine trillion, four hundred twelve billion, four hundred twenty-six million, three hundred thirty-seven thousand, eight hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 109 200 218 436 545 872 1090 2180 2725 4360 5450 10900 21800 7312496621 14624993242 29249986484 36562483105 58499972968 73124966210 146249932420 182812415525 292499864840 365624831050 731249662100 797062131689 1462499324200 1594124263378 3188248526756 3985310658445 6376497053512 7970621316890 15941242633780 19926553292225 31882485267560 39853106584450 79706213168900 159412426337800