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7684206068 = 22721123831867
BaseRepresentation
bin1110010100000001…
…11010110111110100
3201211112012010001202
413022000322313310
5111214124043233
63310255112032
7361264450100
oct71200726764
921745163052
107684206068
113293596830
1215a5512618
13955ca54c6
1452c782900
152ee91bbe8
hex1ca03adf4

7684206068 has 144 divisors (see below), whose sum is σ = 18031071744. Its totient is φ = 2827661760.

The previous prime is 7684206031. The next prime is 7684206071. The reversal of 7684206068 is 8606024867.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 4114871 + ... + 4116737.

It is an arithmetic number, because the mean of its divisors is an integer number (125215776).

Almost surely, 27684206068 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 7684206068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9015535872).

7684206068 is an abundant number, since it is smaller than the sum of its proper divisors (10346865676).

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

7684206068 is a wasteful number, since it uses less digits than its factorization.

7684206068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2002 (or 1993 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 47.

The square root of 7684206068 is about 87659.6033986009. The cubic root of 7684206068 is about 1973.3297692772.

The spelling of 7684206068 in words is "seven billion, six hundred eighty-four million, two hundred six thousand, sixty-eight".

Divisors: 1 2 4 7 11 14 22 23 28 44 46 49 77 83 92 98 154 161 166 196 253 308 322 332 506 539 581 644 913 1012 1078 1127 1162 1771 1826 1867 1909 2156 2254 2324 3542 3652 3734 3818 4067 4508 6391 7084 7468 7636 8134 12397 12782 13069 13363 16268 20537 20999 24794 25564 26138 26726 41074 41998 42941 44737 49588 52276 53452 82148 83996 85882 89474 91483 93541 143759 146993 154961 171764 178948 182966 187082 287518 293986 300587 309922 365932 374164 472351 575036 587972 601174 619844 944702 1006313 1028951 1084727 1202348 1704571 1889404 2012626 2057902 2104109 2169454 3306457 3409142 3564103 4025252 4115804 4208218 4338908 6612914 6818284 7128206 7593089 8416436 11931997 13225828 14256412 15186178 23145199 23863994 24948721 30372356 39205133 46290398 47727988 49897442 78410266 83523979 92580796 99794884 156820532 167047958 174641047 274435931 334095916 349282094 548871862 698564188 1097743724 1921051517 3842103034 7684206068