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5670661374 = 2327415412029
BaseRepresentation
bin1010100011111111…
…10110110011111110
3112122012100110000100
411101333312303332
543103142130444
62334405541530
7260344553310
oct52177666376
915565313010
105670661374
11244aa38904
1211231148a6
136c4a98041
143bb19d7b0
15232c80e69
hex151ff6cfe

5670661374 has 96 divisors (see below), whose sum is σ = 14417807040. Its totient is φ = 1576972800.

The previous prime is 5670661369. The next prime is 5670661411. The reversal of 5670661374 is 4731660765.

5670661374 is a `hidden beast` number, since 567 + 0 + 6 + 6 + 13 + 74 = 666.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2793792 + ... + 2795820.

It is an arithmetic number, because the mean of its divisors is an integer number (150185490).

Almost surely, 25670661374 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5670661374, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7208903520).

5670661374 is an abundant number, since it is smaller than the sum of its proper divisors (8747145666).

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

5670661374 is a wasteful number, since it uses less digits than its factorization.

5670661374 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2626 (or 2623 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The square root of 5670661374 is about 75303.7938884888. The cubic root of 5670661374 is about 1783.2459156808.

The spelling of 5670661374 in words is "five billion, six hundred seventy million, six hundred sixty-one thousand, three hundred seventy-four".

Divisors: 1 2 3 6 7 9 14 18 21 41 42 63 82 123 126 246 287 369 541 574 738 861 1082 1623 1722 2029 2583 3246 3787 4058 4869 5166 6087 7574 9738 11361 12174 14203 18261 22181 22722 28406 34083 36522 42609 44362 66543 68166 83189 85218 127827 133086 155267 166378 199629 249567 255654 310534 399258 465801 499134 582323 748701 931602 1097689 1164646 1397403 1497402 1746969 2195378 2794806 3293067 3493938 5240907 6586134 7683823 9879201 10481814 15367646 19758402 23051469 45005249 46102938 69154407 90010498 135015747 138308814 270031494 315036743 405047241 630073486 810094482 945110229 1890220458 2835330687 5670661374