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3980573168 = 24111313192
BaseRepresentation
bin1110110101000010…
…1011100111110000
3101021102011001211212
43231100223213300
531123011320133
61454553255252
7200433212405
oct35520534760
911242131755
103980573168
111762a255a0
12931104528
134b58ac150
1429a9382ac
151846d9148
hexed42b9f0

3980573168 has 60 divisors (see below), whose sum is σ = 9067549848. Its totient is φ = 1668904320.

The previous prime is 3980573111. The next prime is 3980573173. The reversal of 3980573168 is 8613750893.

It is a happy number.

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 11 ways as a sum of consecutive naturals, for example, 3017213 + ... + 3018531.

Almost surely, 23980573168 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 3980573168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4533774924).

3980573168 is an abundant number, since it is smaller than the sum of its proper divisors (5086976680).

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

3980573168 is a wasteful number, since it uses less digits than its factorization.

3980573168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2670 (or 1345 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 50.

The square root of 3980573168 is about 63091.7836806030. The cubic root of 3980573168 is about 1584.8270325769.

The spelling of 3980573168 in words is "three billion, nine hundred eighty million, five hundred seventy-three thousand, one hundred sixty-eight".

Divisors: 1 2 4 8 11 13 16 22 26 44 52 88 104 143 176 208 286 572 1144 1319 2288 2638 5276 10552 14509 17147 21104 29018 34294 58036 68588 116072 137176 188617 232144 274352 377234 754468 1508936 1739761 3017872 3479522 6959044 13918088 19137371 22616893 27836176 38274742 45233786 76549484 90467572 153098968 180935144 248785823 306197936 361870288 497571646 995143292 1990286584 3980573168