Search a number
-
+
1685143073934 = 233612689190249
BaseRepresentation
bin11000100001011010010…
…110101011010010001110
312222002122111222210002000
4120201122112223102032
5210102133111331214
63330051040213130
7232514262535215
oct30413226532216
95862574883060
101685143073934
1159a7353740a1
1223271300a1a6
13c2ba6731c68
145b7c052c07c
152dc7b36b809
hex1885a5ab48e

1685143073934 has 64 divisors (see below), whose sum is σ = 3807587400000. Its totient is φ = 552297553920.

The previous prime is 1685143073899. The next prime is 1685143073951. The reversal of 1685143073934 is 4393703415861.

1685143073934 is a `hidden beast` number, since 1 + 6 + 8 + 51 + 430 + 73 + 93 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 8762442 + ... + 8952690.

It is an arithmetic number, because the mean of its divisors is an integer number (59493553125).

Almost surely, 21685143073934 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1685143073934, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1903793700000).

1685143073934 is an abundant number, since it is smaller than the sum of its proper divisors (2122444326066).

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

1685143073934 is a wasteful number, since it uses less digits than its factorization.

1685143073934 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193010 (or 193004 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 1685143073934 in words is "one trillion, six hundred eighty-five billion, one hundred forty-three million, seventy-three thousand, nine hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 54 61 122 183 366 549 1098 1647 2689 3294 5378 8067 16134 24201 48402 72603 145206 164029 190249 328058 380498 492087 570747 984174 1141494 1476261 1712241 2952522 3424482 4428783 5136723 8857566 10273446 11605189 23210378 34815567 69631134 104446701 208893402 313340103 511579561 626680206 1023159122 1534738683 3069477366 4604216049 9208432098 13812648147 27625296294 31206353221 62412706442 93619059663 187238119326 280857178989 561714357978 842571536967 1685143073934