Search a number
-
+
34803827148258 = 2327597534622711
BaseRepresentation
bin1111110100111011001011…
…10000010000010111100010
311120020012202112222110211200
413322131211300100113202
514030211214222221013
6202004354002422030
710221331165414110
oct772354560202742
9146205675873750
1034803827148258
11100a9247100563
123aa126b361916
131655caa0656cc
1488472b04cab0
154054da055e73
hex1fa765c105e2

34803827148258 has 48 divisors (see below), whose sum is σ = 86182366248576. Its totient is φ = 9943782045120.

The previous prime is 34803827148227. The next prime is 34803827148263. The reversal of 34803827148258 is 85284172830843.

34803827148258 is a `hidden beast` number, since 3 + 4 + 8 + 0 + 3 + 82 + 71 + 482 + 5 + 8 = 666.

It is a super-2 number, since 2×348038271482582 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 34803827148195 and 34803827148204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5217523 + ... + 9840233.

It is an arithmetic number, because the mean of its divisors is an integer number (1795465963512).

Almost surely, 234803827148258 is an apocalyptic number.

34803827148258 is an abundant number, since it is smaller than the sum of its proper divisors (51378539100318).

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

34803827148258 is a wasteful number, since it uses less digits than its factorization.

34803827148258 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4682479 (or 4682476 counting only the distinct ones).

The product of its (nonzero) digits is 82575360, while the sum is 63.

The spelling of 34803827148258 in words is "thirty-four trillion, eight hundred three billion, eight hundred twenty-seven million, one hundred forty-eight thousand, two hundred fifty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 59753 119506 179259 358518 418271 537777 836542 1075554 1254813 2509626 3764439 4622711 7528878 9245422 13868133 27736266 32358977 41604399 64717954 83208798 97076931 194153862 291230793 582461586 276220850383 552441700766 828662551149 1657325102298 1933545952681 2485987653447 3867091905362 4971975306894 5800637858043 11601275716086 17401913574129 34803827148258