Search a number
-
+
795193765912 = 237134726218867
BaseRepresentation
bin10111001001001010011…
…11011111000000011000
32211000112102100202021201
423210211033133000120
5101012024101002122
61405150150043544
7111310433325520
oct13444517370030
92730472322251
10795193765912
11287270171a07
1210a1449495b4
1359ca9301690
142a6b7d02680
1515a413b2a27
hexb9253df018

795193765912 has 128 divisors (see below), whose sum is σ = 1875032893440. Its totient is φ = 307736732160.

The previous prime is 795193765897. The next prime is 795193765913. The reversal of 795193765912 is 219567391597.

It is a hoax number, since the sum of its digits (64) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (795193765913) by changing a digit.

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, 89675703 + ... + 89684569.

It is an arithmetic number, because the mean of its divisors is an integer number (14648694480).

Almost surely, 2795193765912 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 795193765912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (937516446720).

795193765912 is an abundant number, since it is smaller than the sum of its proper divisors (1079839127528).

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

795193765912 is a wasteful number, since it uses less digits than its factorization.

795193765912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11561 (or 11557 counting only the distinct ones).

The product of its digits is 32148900, while the sum is 64.

The spelling of 795193765912 in words is "seven hundred ninety-five billion, one hundred ninety-three million, seven hundred sixty-five thousand, nine hundred twelve".

Divisors: 1 2 4 7 8 13 14 26 28 47 52 56 91 94 104 182 188 329 364 376 611 658 728 1222 1316 2444 2621 2632 4277 4888 5242 8554 8867 10484 17108 17734 18347 20968 34073 34216 35468 36694 62069 68146 70936 73388 115271 123187 124138 136292 146776 230542 238511 246374 248276 272584 416749 461084 477022 492748 496552 806897 833498 862309 922168 954044 985496 1601431 1613794 1666996 1724618 1908088 2917243 3202862 3227588 3333992 3449236 5417737 5834486 6405724 6455176 6898472 10835474 11210017 11668972 12811448 21670948 22420034 23240407 23337944 37924159 43341896 44840068 46480814 75848318 89680136 92961628 151696636 162682849 185923256 302125291 303393272 325365698 604250582 650731396 1092299129 1208501164 1301462792 2114877037 2184598258 2417002328 4229754074 4369196516 7646093903 8459508148 8738393032 14199888677 15292187806 16919016296 28399777354 30584375612 56799554708 61168751224 99399220739 113599109416 198798441478 397596882956 795193765912