Search a number
-
+
5043174912 = 2933491743
BaseRepresentation
bin1001011001001100…
…01011111000000000
3111000110121211102000
410230212023320000
540312023044122
62152232424000
7235655164566
oct45446137000
914013554360
105043174912
112158816a56
12b88b48000
13624a97589
1435badda36
151e7b340ac
hex12c98be00

5043174912 has 160 divisors (see below), whose sum is σ = 14978684160. Its totient is φ = 1675376640.

The previous prime is 5043174911. The next prime is 5043174931. The reversal of 5043174912 is 2194713405.

It is a super-2 number, since 2×50431749122 = 50867226386052415488, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5043174911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6787213 + ... + 6787955.

It is an arithmetic number, because the mean of its divisors is an integer number (93616776).

Almost surely, 25043174912 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 5043174912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7489342080).

5043174912 is an abundant number, since it is smaller than the sum of its proper divisors (9935509248).

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

5043174912 is an equidigital number, since it uses as much as digits as its factorization.

5043174912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1261 (or 1239 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 5043174912 is about 71015.3146300148. The cubic root of 5043174912 is about 1714.8837182278.

The spelling of 5043174912 in words is "five billion, forty-three million, one hundred seventy-four thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 491 512 576 743 768 864 982 1152 1473 1486 1536 1728 1964 2229 2304 2946 2972 3456 3928 4419 4458 4608 5892 5944 6687 6912 7856 8838 8916 11784 11888 13257 13374 13824 15712 17676 17832 20061 23568 23776 26514 26748 31424 35352 35664 40122 47136 47552 53028 53496 62848 70704 71328 80244 94272 95104 106056 106992 125696 141408 142656 160488 188544 190208 212112 213984 251392 282816 285312 320976 364813 377088 380416 424224 427968 565632 570624 641952 729626 754176 848448 855936 1094439 1131264 1141248 1283904 1459252 1696896 1711872 2188878 2262528 2567808 2918504 3283317 3393792 3423744 4377756 5135616 5837008 6566634 6787584 8755512 9849951 10271232 11674016 13133268 17511024 19699902 23348032 26266536 35022048 39399804 46696064 52533072 70044096 78799608 93392128 105066144 140088192 157599216 186784256 210132288 280176384 315198432 420264576 560352768 630396864 840529152 1260793728 1681058304 2521587456 5043174912