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3896719049268 = 22321716339062503
BaseRepresentation
bin111000101101000110100…
…011100000001000110100
3111210112010001100210101200
4320231012203200020310
51002320440034034033
612142043352452500
7551346221261433
oct70550643401064
914715101323350
103896719049268
111272653352741
1252b2633aa130
132235c7646436
14d686066111a
156b568bd2013
hex38b468e0234

3896719049268 has 72 divisors (see below), whose sum is σ = 10493438574528. Its totient is φ = 1215000062208.

The previous prime is 3896719049147. The next prime is 3896719049291. The reversal of 3896719049268 is 8629409176983.

3896719049268 is a `hidden beast` number, since 3 + 8 + 9 + 6 + 71 + 9 + 0 + 492 + 68 = 666.

It is a super-2 number, since 2×38967190492682 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3896719049196 and 3896719049205.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19431496 + ... + 19631007.

It is an arithmetic number, because the mean of its divisors is an integer number (145742202424).

Almost surely, 23896719049268 is an apocalyptic number.

It is an amenable number.

3896719049268 is an abundant number, since it is smaller than the sum of its proper divisors (6596719525260).

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

3896719049268 is a wasteful number, since it uses less digits than its factorization.

3896719049268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39062693 (or 39062688 counting only the distinct ones).

The product of its (nonzero) digits is 282175488, while the sum is 72.

The spelling of 3896719049268 in words is "three trillion, eight hundred ninety-six billion, seven hundred nineteen million, forty-nine thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 163 204 306 326 489 612 652 978 1467 1956 2771 2934 5542 5868 8313 11084 16626 24939 33252 49878 99756 39062503 78125006 117187509 156250012 234375018 351562527 468750036 664062551 703125054 1328125102 1406250108 1992187653 2656250204 3984375306 5976562959 6367187989 7968750612 11953125918 12734375978 19101563967 23906251836 25468751956 38203127934 57304691901 76406255868 108242195813 114609383802 216484391626 229218767604 324726587439 432968783252 649453174878 974179762317 1298906349756 1948359524634 3896719049268