Search a number
-
+
6681520170 = 2335134344269
BaseRepresentation
bin1100011100011111…
…11110100000101010
3122020122110101121000
412032033332200222
5102140432121140
63023000055430
7324400661433
oct61617764052
918218411530
106681520170
1129195a8aa6
121365764576
13826337940
1447553648a
152918a9a30
hex18e3fe82a

6681520170 has 128 divisors (see below), whose sum is σ = 19634630400. Its totient is φ = 1606397184.

The previous prime is 6681520103. The next prime is 6681520189. The reversal of 6681520170 is 710251866.

6681520170 is a `hidden beast` number, since 6 + 68 + 1 + 520 + 1 + 70 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 128796 + ... + 173064.

It is an arithmetic number, because the mean of its divisors is an integer number (153395550).

Almost surely, 26681520170 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6681520170, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9817315200).

6681520170 is an abundant number, since it is smaller than the sum of its proper divisors (12953110230).

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

6681520170 is a wasteful number, since it uses less digits than its factorization.

6681520170 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44341 (or 44335 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 6681520170 is about 81740.5662446744. The cubic root of 6681520170 is about 1883.4687891365.

It can be divided in two parts, 6681 and 520170, that added together give a triangular number (526851 = T1026).

The spelling of 6681520170 in words is "six billion, six hundred eighty-one million, five hundred twenty thousand, one hundred seventy".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 43 45 54 65 78 86 90 117 129 130 135 195 215 234 258 270 351 387 390 430 559 585 645 702 774 1118 1161 1170 1290 1677 1755 1935 2322 2795 3354 3510 3870 5031 5590 5805 8385 10062 11610 15093 16770 25155 30186 44269 50310 75465 88538 132807 150930 221345 265614 398421 442690 575497 664035 796842 1150994 1195263 1328070 1726491 1903567 1992105 2390526 2877485 3452982 3807134 3984210 5179473 5710701 5754970 5976315 8632455 9517835 10358946 11421402 11952630 15538419 17132103 17264910 19035670 24746371 25897365 28553505 31076838 34264206 49492742 51396309 51794730 57107010 74239113 77692095 85660515 102792618 123731855 148478226 155384190 171321030 222717339 247463710 256981545 371195565 445434678 513963090 668152017 742391130 1113586695 1336304034 2227173390 3340760085 6681520170