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634606401416 = 231322143219031
BaseRepresentation
bin10010011110000010111…
…11010011011110001000
32020200000210220101200012
421033001133103132020
540344133214321131
61203311213331052
763564065260421
oct11170137233610
92220023811605
10634606401416
11225153851149
12a2ba8496a88
1347ac6471500
1422a023b4648
15117930a152b
hex93c17d3788

634606401416 has 48 divisors (see below), whose sum is σ = 1289064648960. Its totient is φ = 292757250240.

The previous prime is 634606401383. The next prime is 634606401421. The reversal of 634606401416 is 614104606436.

It is a happy number.

634606401416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2787821 + ... + 3006851.

It is an arithmetic number, because the mean of its divisors is an integer number (26855513520).

Almost surely, 2634606401416 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 634606401416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (644532324480).

634606401416 is an abundant number, since it is smaller than the sum of its proper divisors (654458247544).

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

634606401416 is a wasteful number, since it uses less digits than its factorization.

634606401416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221206 (or 221189 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 41.

The spelling of 634606401416 in words is "six hundred thirty-four billion, six hundred six million, four hundred one thousand, four hundred sixteen".

Divisors: 1 2 4 8 13 26 52 104 169 338 676 1352 2143 4286 8572 17144 27859 55718 111436 219031 222872 362167 438062 724334 876124 1448668 1752248 2847403 2897336 5694806 11389612 22779224 37016239 74032478 148064956 296129912 469383433 938766866 1877533732 3755067464 6101984629 12203969258 24407938516 48815877032 79325800177 158651600354 317303200708 634606401416