Search a number
-
+
328008688002 = 233171997193873
BaseRepresentation
bin1001100010111101101…
…01110110000110000010
31011100122111012210121000
410301132311312012002
520333230211004002
6410403552312430
732461234563012
oct4613665660602
91140574183530
10328008688002
11117120398136
12536a1542716
1324c1479bc88
1411c38d13c42
1587eb58e61c
hex4c5ed76182

328008688002 has 128 divisors (see below), whose sum is σ = 820784966400. Its totient is φ = 96483115008.

The previous prime is 328008687973. The next prime is 328008688039. The reversal of 328008688002 is 200886800823.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 1594938 + ... + 1788810.

It is an arithmetic number, because the mean of its divisors is an integer number (6412382550).

Almost surely, 2328008688002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 328008688002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410392483200).

328008688002 is an abundant number, since it is smaller than the sum of its proper divisors (492776278398).

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

328008688002 is a wasteful number, since it uses less digits than its factorization.

328008688002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194017 (or 194011 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 328008688002 in words is "three hundred twenty-eight billion, eight million, six hundred eighty-eight thousand, two".

Divisors: 1 2 3 6 9 17 18 19 27 34 38 51 54 57 97 102 114 153 171 194 291 306 323 342 459 513 582 646 873 918 969 1026 1649 1746 1843 1938 2619 2907 3298 3686 4947 5238 5529 5814 8721 9894 11058 14841 16587 17442 29682 31331 33174 44523 49761 62662 89046 93993 99522 187986 193873 281979 387746 563958 581619 845937 1163238 1691874 1744857 3295841 3489714 3683587 5234571 6591682 7367174 9887523 10469142 11050761 18805681 19775046 22101522 29662569 33152283 37611362 56417043 59325138 62620979 66304566 88987707 99456849 112834086 125241958 169251129 177975414 187862937 198913698 319696577 338502258 357307939 375725874 507753387 563588811 639393154 714615878 959089731 1015506774 1071923817 1127177622 1690766433 1918179462 2143847634 2877269193 3215771451 3381532866 5754538386 6074234963 6431542902 8631807579 9647314353 12148469926 17263615158 18222704889 19294628706 36445409778 54668114667 109336229334 164004344001 328008688002