Search a number
-
+
47279851095504 = 2433743191967211
BaseRepresentation
bin10101100000000001100101…
…01110101100010111010000
320012101220120010002121121210
422300000302232230113100
522144113113340024004
6244320021434020120
712646566533264526
oct1260006256542720
9205356503077553
1047279851095504
11140792aa3a6525
12537719a577640
13204c61753c9a1
14b964dd88a316
1556eccdc49089
hex2b0032bac5d0

47279851095504 has 160 divisors (see below), whose sum is σ = 125870418063360. Its totient is φ = 15281553830400.

The previous prime is 47279851095443. The next prime is 47279851095527. The reversal of 47279851095504 is 40559015897274.

It is a super-2 number, since 2×472798510955042 (a number of 28 digits) contains 22 as substring.

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, 703420459 + ... + 703487669.

It is an arithmetic number, because the mean of its divisors is an integer number (786690112896).

Almost surely, 247279851095504 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 47279851095504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62935209031680).

47279851095504 is an abundant number, since it is smaller than the sum of its proper divisors (78590566967856).

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

47279851095504 is a wasteful number, since it uses less digits than its factorization.

47279851095504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68609 (or 68603 counting only the distinct ones).

The product of its (nonzero) digits is 127008000, while the sum is 66.

The spelling of 47279851095504 in words is "forty-seven trillion, two hundred seventy-nine billion, eight hundred fifty-one million, ninety-five thousand, five hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 37 48 74 111 148 222 296 431 444 592 862 888 919 1293 1724 1776 1838 2586 2757 3448 3676 5172 5514 6896 7352 10344 11028 14704 15947 20688 22056 31894 34003 44112 47841 63788 67211 68006 95682 102009 127576 134422 136012 191364 201633 204018 255152 268844 272024 382728 396089 403266 408036 537688 544048 765456 792178 806532 816072 1075376 1188267 1584356 1613064 1632144 2376534 2486807 3168712 3226128 4753068 4973614 6337424 7460421 9506136 9947228 14655293 14920842 19012272 19894456 28967941 29310586 29841684 39788912 43965879 57935882 58621172 59683368 61766909 86903823 87931758 115871764 117242344 119366736 123533818 173807646 175863516 185300727 231743528 234484688 247067636 347615292 351727032 370601454 463487056 494135272 695230584 703454064 741202908 988270544 1071813817 1390461168 1482405816 2143627634 2285375633 2964811632 3215441451 4287255268 4570751266 6430882902 6856126899 8574510536 9141502532 12861765804 13712253798 17149021072 18283005064 25723531608 26621537779 27424507596 36566010128 51447063216 53243075558 54849015192 79864613337 106486151116 109698030384 159729226674 212972302232 319458453348 425944604464 638916906696 984996897823 1277833813392 1969993795646 2954990693469 3939987591292 5909981386938 7879975182584 11819962773876 15759950365168 23639925547752 47279851095504