Search a number
-
+
5724357622356 = 2231967508173751
BaseRepresentation
bin101001101001100111001…
…0011010111101001010100
3202021020120022202221111110
41103103032103113221110
51222241441022403411
620101422242135020
71130366626651002
oct123231623275124
922236508687443
105724357622356
11190776070a36a
12785503951470
13326a5c951ca9
1415b0bb9b9a72
159dd84dac2a6
hex534ce4d7a54

5724357622356 has 96 divisors (see below), whose sum is σ = 14272675845120. Its totient is φ = 1780336800000.

The previous prime is 5724357622339. The next prime is 5724357622411. The reversal of 5724357622356 is 6532267534275.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a junction number, because it is equal to n+sod(n) for n = 5724357622296 and 5724357622305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77580481 + ... + 77654231.

It is an arithmetic number, because the mean of its divisors is an integer number (148673706720).

Almost surely, 25724357622356 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 5724357622356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7136337922560).

5724357622356 is an abundant number, since it is smaller than the sum of its proper divisors (8548318222764).

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

5724357622356 is a wasteful number, since it uses less digits than its factorization.

5724357622356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78925 (or 78923 counting only the distinct ones).

The product of its digits is 63504000, while the sum is 57.

The spelling of 5724357622356 in words is "five trillion, seven hundred twenty-four billion, three hundred fifty-seven million, six hundred twenty-two thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 12 19 38 57 67 76 114 134 201 228 268 402 804 1273 2546 3819 5081 5092 7638 10162 15243 15276 20324 30486 60972 73751 96539 147502 193078 221253 289617 295004 340427 386156 442506 579234 680854 885012 1021281 1158468 1361708 1401269 2042562 2802538 4085124 4203807 4941317 5605076 6468113 8407614 9882634 12936226 14823951 16815228 19404339 19765268 25872452 29647902 38808678 59295804 77617356 93885023 187770046 281655069 374728831 375540092 563310138 749457662 1124186493 1126620276 1498915324 2248372986 4496745972 7119847789 14239695578 21359543367 25106831677 28479391156 42719086734 50213663354 75320495031 85438173468 100427326708 150640990062 301281980124 477029801863 954059603726 1431089405589 1908119207452 2862178811178 5724357622356