Search a number
-
+
5670061056 = 210321155931
BaseRepresentation
bin1010100011111011…
…00100010000000000
3112122011012221112100
411101331210100000
543103013423211
62334345030400
7260336503152
oct52175442000
915564187470
105670061056
11244a668880
121122a85400
136c4917a1a
143bb084ad2
15232bb3156
hex151f64400

5670061056 has 132 divisors (see below), whose sum is σ = 17860877424. Its totient is φ = 1718169600.

The previous prime is 5670061027. The next prime is 5670061069. The reversal of 5670061056 is 6501600765.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (132).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 5670061056.

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, 73411 + ... + 129341.

Almost surely, 25670061056 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 5670061056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8930438712).

5670061056 is an abundant number, since it is smaller than the sum of its proper divisors (12190816368).

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

5670061056 is a wasteful number, since it uses less digits than its factorization.

5670061056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55968 (or 55947 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 5670061056 is about 75299.8078085197. The cubic root of 5670061056 is about 1783.1829863721.

The spelling of 5670061056 in words is "five billion, six hundred seventy million, sixty-one thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 128 132 144 176 192 198 256 264 288 352 384 396 512 528 576 704 768 792 1024 1056 1152 1408 1536 1584 2112 2304 2816 3072 3168 4224 4608 5632 6336 8448 9216 11264 12672 16896 25344 33792 50688 55931 101376 111862 167793 223724 335586 447448 503379 615241 671172 894896 1006758 1230482 1342344 1789792 1845723 2013516 2460964 2684688 3579584 3691446 4027032 4921928 5369376 5537169 7159168 7382892 8054064 9843856 10738752 11074338 14318336 14765784 16108128 19687712 21477504 22148676 28636672 29531568 32216256 39375424 42955008 44297352 57273344 59063136 64432512 78750848 85910016 88594704 118126272 128865024 157501696 171820032 177189408 236252544 257730048 315003392 354378816 472505088 515460096 630006784 708757632 945010176 1417515264 1890020352 2835030528 5670061056