Search a number
-
+
2164896419604 = 2231729800945691
BaseRepresentation
bin11111100000001101111…
…000011100111100010100
321122221222100112212221020
4133200031320130330110
5240432201440411404
64334312323321140
7312260102642052
oct37401570347424
97587870485836
102164896419604
11765144654516
122ab6a35201b0
131291c20644a9
1476ad27c11d2
153b4a9760ed9
hex1f80de1cf14

2164896419604 has 96 divisors (see below), whose sum is σ = 5533812950400. Its totient is φ = 655666851840.

The previous prime is 2164896419597. The next prime is 2164896419611. The reversal of 2164896419604 is 4069146984612.

It is an interprime number because it is at equal distance from previous prime (2164896419597) and next prime (2164896419611).

It is a super-2 number, since 2×21648964196042 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47358399 + ... + 47404089.

It is an arithmetic number, because the mean of its divisors is an integer number (57643884900).

Almost surely, 22164896419604 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 2164896419604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2766906475200).

2164896419604 is an abundant number, since it is smaller than the sum of its proper divisors (3368916530796).

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

2164896419604 is a wasteful number, since it uses less digits than its factorization.

2164896419604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53753 (or 53751 counting only the distinct ones).

The product of its (nonzero) digits is 17915904, while the sum is 60.

The spelling of 2164896419604 in words is "two trillion, one hundred sixty-four billion, eight hundred ninety-six million, four hundred nineteen thousand, six hundred four".

Divisors: 1 2 3 4 6 12 17 29 34 51 58 68 87 102 116 174 204 348 493 986 1479 1972 2958 5916 8009 16018 24027 32036 45691 48054 91382 96108 136153 137073 182764 232261 272306 274146 408459 464522 544612 548292 696783 776747 816918 929044 1325039 1393566 1553494 1633836 2330241 2650078 2787132 3106988 3948437 3975117 4660482 5300156 7896874 7950234 9320964 11845311 15793748 15900468 22525663 23690622 45051326 47381244 67576989 90102652 135153978 270307956 365939219 731878438 1097817657 1463756876 2195635314 4391270628 6220966723 10612237351 12441933446 18662900169 21224474702 24883866892 31836712053 37325800338 42448949404 63673424106 74651600676 127346848212 180408034967 360816069934 541224104901 721632139868 1082448209802 2164896419604