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5055079806 = 23374127307
BaseRepresentation
bin1001011010100111…
…00110010101111110
3111001022000122212000
410231103212111332
540323100023211
62153335523130
7236161320000
oct45523462576
914038018760
105055079806
112164508307
12b90b294a6
136273a51aa
1435d51c370
151e8bd6656
hex12d4e657e

5055079806 has 160 divisors (see below), whose sum is σ = 13251194880. Its totient is φ = 1428268464.

The previous prime is 5055079787. The next prime is 5055079807. The reversal of 5055079806 is 6089705505.

5055079806 is a `hidden beast` number, since 5 + 0 + 550 + 7 + 98 + 0 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5055079807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 16465905 + ... + 16466211.

It is an arithmetic number, because the mean of its divisors is an integer number (82819968).

Almost surely, 25055079806 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5055079806, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6625597440).

5055079806 is an abundant number, since it is smaller than the sum of its proper divisors (8196115074).

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

5055079806 is a wasteful number, since it uses less digits than its factorization.

5055079806 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473 (or 446 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 45.

The square root of 5055079806 is about 71099.0844244847. The cubic root of 5055079806 is about 1716.2320398723.

The spelling of 5055079806 in words is "five billion, fifty-five million, seventy-nine thousand, eight hundred six".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 98 126 127 147 189 254 294 307 343 378 381 441 614 686 762 882 889 921 1029 1143 1323 1778 1842 2058 2149 2286 2401 2646 2667 2763 3087 3429 4298 4802 5334 5526 6174 6223 6447 6858 7203 8001 8289 9261 12446 12894 14406 15043 16002 16578 18522 18669 19341 21609 24003 30086 37338 38682 38989 43218 43561 45129 48006 56007 58023 64827 77978 87122 90258 105301 112014 116046 116967 129654 130683 135387 168021 210602 233934 261366 270774 272923 304927 315903 336042 350901 392049 406161 545846 609854 631806 701802 737107 784098 812322 818769 914781 947709 1052703 1176147 1474214 1637538 1829562 1895418 1910461 2105406 2211321 2352294 2456307 2744343 2843127 3820922 4422642 4912614 5488686 5686254 5731383 6633963 7368921 8233029 11462766 13267926 13373227 14737842 16466058 17194149 19901889 26746454 34388298 39803778 40119681 51582447 80239362 93612589 103164894 120359043 187225178 240718086 280837767 361077129 561675534 722154258 842513301 1685026602 2527539903 5055079806