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5667680656 = 24112292592
BaseRepresentation
bin1010100011101000…
…11111000110010000
3112121222202000020101
411101310133012100
543101411240111
62334222022144
7260310330211
oct52164370620
915558660211
105667680656
112449292400
121122117954
136c42933c1
143baa25408
15232892bc1
hex151d1f190

5667680656 has 135 divisors (see below), whose sum is σ = 12716201953. Its totient is φ = 2445224320.

The previous prime is 5667680591. The next prime is 5667680687. The reversal of 5667680656 is 6560867665.

The square root of 5667680656 is 75284.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2971994256 + 2695686400 = 54516^2 + 51920^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 5667680597 and 5667680606.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 96062355 + ... + 96062413.

Almost surely, 25667680656 is an apocalyptic number.

5667680656 is the 75284-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5667680656

5667680656 is an abundant number, since it is smaller than the sum of its proper divisors (7048521297).

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

5667680656 is a wasteful number, since it uses less digits than its factorization.

5667680656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 55.

The cubic root of 5667680656 is about 1782.9334133441.

The spelling of 5667680656 in words is "five billion, six hundred sixty-seven million, six hundred eighty thousand, six hundred fifty-six".

Divisors: 1 2 4 8 11 16 22 29 44 58 59 88 116 118 121 176 232 236 242 319 464 472 484 638 649 841 944 968 1276 1298 1682 1711 1936 2552 2596 3364 3422 3481 3509 5104 5192 6728 6844 6962 7018 7139 9251 10384 13456 13688 13924 14036 14278 18502 18821 27376 27848 28072 28556 37004 37642 38291 49619 55696 56144 57112 74008 75284 76582 99238 100949 101761 114224 148016 150568 153164 198476 201898 203522 207031 301136 306328 396952 403796 407044 414062 421201 545809 612656 793904 807592 814088 828124 842402 1091618 1110439 1615184 1628176 1656248 1684804 2183236 2220878 2927521 3312496 3369608 4366472 4441756 5855042 6003899 6739216 8732944 8883512 11710084 12007798 12214829 17767024 23420168 24015596 24429658 32202731 46840336 48031192 48859316 64405462 96062384 97718632 128810924 195437264 257621848 354230041 515243696 708460082 1416920164 2833840328 5667680656