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5672155086 = 2381341811
BaseRepresentation
bin1010100100001011…
…00011011111001110
3112122022011100000000
411102011203133032
543104032430321
62334501545130
7260363344203
oct52205433716
915568140000
105672155086
112450869084
1211237151a6
136c519bbb0
143bb46bcaa
15232e78826
hex1521637ce

5672155086 has 144 divisors (see below), whose sum is σ = 14095933488. Its totient is φ = 1700611200.

The previous prime is 5672155057. The next prime is 5672155087. The reversal of 5672155086 is 6805512765.

5672155086 is a `hidden beast` number, since 567 + 2 + 1 + 5 + 5 + 0 + 86 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5672155087) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 6993621 + ... + 6994431.

It is an arithmetic number, because the mean of its divisors is an integer number (97888427).

Almost surely, 25672155086 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5672155086, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7047966744).

5672155086 is an abundant number, since it is smaller than the sum of its proper divisors (8423778402).

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

5672155086 is an equidigital number, since it uses as much as digits as its factorization.

5672155086 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 891 (or 870 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 45.

The square root of 5672155086 is about 75313.7111421287. The cubic root of 5672155086 is about 1783.4024771941.

The spelling of 5672155086 in words is "five billion, six hundred seventy-two million, one hundred fifty-five thousand, eighty-six".

Divisors: 1 2 3 6 9 13 18 26 27 39 41 54 78 81 82 117 123 162 234 243 246 351 369 486 533 702 729 738 811 1053 1066 1107 1458 1599 1622 2106 2187 2214 2433 3159 3198 3321 4374 4797 4866 6318 6561 6642 7299 9477 9594 9963 10543 13122 14391 14598 18954 19926 21086 21897 28431 28782 29889 31629 33251 43173 43794 56862 59778 63258 65691 66502 85293 86346 89667 94887 99753 129519 131382 170586 179334 189774 197073 199506 259038 269001 284661 299259 388557 394146 432263 538002 569322 591219 598518 777114 853983 864526 897777 1165671 1182438 1296789 1707966 1773657 1795554 2331342 2561949 2593578 2693331 3497013 3547314 3890367 5123898 5320971 5386662 6994026 7685847 7780734 8079993 10641942 11671101 15371694 16159986 23057541 23342202 24239979 35013303 46115082 48479958 69172623 70026606 72719937 105039909 138345246 145439874 210079818 218159811 315119727 436319622 630239454 945359181 1890718362 2836077543 5672155086