Search a number
-
+
6793910019168 = 2531572767162907
BaseRepresentation
bin110001011011101010010…
…0101111110010001100000
3220001111021021022012201020
41202313110211332101200
51342302411431103133
622241025034005440
71300562265222066
oct142672445762140
926044237265636
106793910019168
11218a3100a8438
12918856876880
133a38806c73cc
14196b81402036
15bbad27bb0b3
hex62dd497e460

6793910019168 has 96 divisors (see below), whose sum is σ = 17954202760704. Its totient is φ = 2249385196032.

The previous prime is 6793910019163. The next prime is 6793910019187. The reversal of 6793910019168 is 8619100193976.

It is a happy number.

It is a Cunningham number, because it is equal to 26065132-1.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6793910019163) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41622771 + ... + 41785677.

It is an arithmetic number, because the mean of its divisors is an integer number (187022945424).

Almost surely, 26793910019168 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 6793910019168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8977101380352).

6793910019168 is an abundant number, since it is smaller than the sum of its proper divisors (11160292741536).

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

6793910019168 is a wasteful number, since it uses less digits than its factorization.

6793910019168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165844 (or 165836 counting only the distinct ones).

The product of its (nonzero) digits is 4408992, while the sum is 60.

The spelling of 6793910019168 in words is "six trillion, seven hundred ninety-three billion, nine hundred ten million, nineteen thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 157 314 471 628 942 1256 1884 2512 2767 3768 5024 5534 7536 8301 11068 15072 16602 22136 33204 44272 66408 88544 132816 162907 265632 325814 434419 488721 651628 868838 977442 1303256 1303257 1737676 1954884 2606512 2606514 3475352 3909768 5213024 5213028 6950704 7819536 10426056 13901408 15639072 20852112 25576399 41704224 51152798 76729197 102305596 153458394 204611192 306916788 409222384 450763669 613833576 818444768 901527338 1227667152 1352291007 1803054676 2455334304 2704582014 3606109352 5409164028 7212218704 10818328056 14424437408 21636656112 43273312224 70769896033 141539792066 212309688099 283079584132 424619376198 566159168264 849238752396 1132318336528 1698477504792 2264636673056 3396955009584 6793910019168