Search a number
-
+
113651266661064 = 233811434577761
BaseRepresentation
bin11001110101110101111111…
…011000001010101011001000
3112220101221210011221100000000
4121311311333120022223020
5104344030243231123224
61041414400544043000
732640014223202056
oct3165657730125310
9486357704840000
10113651266661064
1133238260169740
12108b6463303460
134b55364a62862
14200ca71b311d6
15d214e49710c9
hex675d7f60aac8

113651266661064 has 288 divisors, whose sum is σ = 356794066268640. Its totient is φ = 33638845363200.

The previous prime is 113651266661039. The next prime is 113651266661111. The reversal of 113651266661064 is 460166662156311.

It is a super-3 number, since 3×1136512666610643 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 113651266661064.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 22537944 + ... + 27115704.

It is an arithmetic number, because the mean of its divisors is an integer number (1238868285655).

Almost surely, 2113651266661064 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 113651266661064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178397033134320).

113651266661064 is an abundant number, since it is smaller than the sum of its proper divisors (243142799607576).

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

113651266661064 is an equidigital number, since it uses as much as digits as its factorization.

113651266661064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4577845 (or 4577820 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 113651266661064 in words is "one hundred thirteen trillion, six hundred fifty-one billion, two hundred sixty-six million, six hundred sixty-one thousand, sixty-four".