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3827023141998 = 2372431600118919
BaseRepresentation
bin110111101100001100010…
…110101101110001101110
3111112212012211012212022210
4313230030112231301232
51000200220411020443
612050035443351250
7543331125655500
oct67541426556156
914485184185283
103827023141998
11124603887aa81
12519852382526
13219b6b200714
14d332c1a5d70
156983a13cc33
hex37b0c5adc6e

3827023141998 has 96 divisors (see below), whose sum is σ = 9111799952640. Its totient is φ = 1067883264000.

The previous prime is 3827023141979. The next prime is 3827023142009. The reversal of 3827023141998 is 8991413207283.

It is a happy number.

It is a super-2 number, since 2×38270231419982 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 202275183 + ... + 202294101.

It is an arithmetic number, because the mean of its divisors is an integer number (94914582840).

Almost surely, 23827023141998 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3827023141998, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4555899976320).

3827023141998 is an abundant number, since it is smaller than the sum of its proper divisors (5284776810642).

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

3827023141998 is a wasteful number, since it uses less digits than its factorization.

3827023141998 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34982 (or 34975 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 57.

The spelling of 3827023141998 in words is "three trillion, eight hundred twenty-seven billion, twenty-three million, one hundred forty-one thousand, nine hundred ninety-eight".

Divisors: 1 2 3 6 7 14 21 42 43 49 86 98 129 147 258 294 301 602 903 1806 2107 4214 6321 12642 16001 18919 32002 37838 48003 56757 96006 112007 113514 132433 224014 264866 336021 397299 672042 688043 784049 794598 813517 927031 1376086 1568098 1627034 1854062 2064129 2352147 2440551 2781093 4128258 4704294 4816301 4881102 5562186 5694619 9632602 11389238 14448903 17083857 28897806 33714107 34167714 39862333 67428214 79724666 101142321 119586999 202284642 239173998 302722919 605445838 908168757 1816337514 2119060433 4238120866 6357181299 12714362598 13017085517 14833423031 26034171034 29666846062 39051256551 44500269093 78102513102 89000538186 91119598619 182239197238 273358795857 546717591714 637837190333 1275674380666 1913511570999 3827023141998