Search a number
-
+
52152053364 = 223310143111093
BaseRepresentation
bin110000100100100000…
…010010111001110100
311222121120021210212000
4300210200102321310
51323301411201424
635542555255300
73524243065545
oct604440227164
9158546253760
1052152053364
1120132524654
12a13574a530
134bc1884798
14274a48a4cc
1515537903c9
hexc24812e74

52152053364 has 96 divisors (see below), whose sum is σ = 136876884480. Its totient is φ = 17170416000.

The previous prime is 52152053353. The next prime is 52152053377. The reversal of 52152053364 is 46335025125.

52152053364 is a `hidden beast` number, since 5 + 21 + 520 + 53 + 3 + 64 = 666.

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

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, 4695802 + ... + 4706894.

It is an arithmetic number, because the mean of its divisors is an integer number (1425800880).

Almost surely, 252152053364 is an apocalyptic number.

52152053364 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52152053364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68438442240).

52152053364 is an abundant number, since it is smaller than the sum of its proper divisors (84724831116).

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

52152053364 is a wasteful number, since it uses less digits than its factorization.

52152053364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11638 (or 11630 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

Adding to 52152053364 its reverse (46335025125), we get a palindrome (98487078489).

The spelling of 52152053364 in words is "fifty-two billion, one hundred fifty-two million, fifty-three thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 101 108 202 303 404 431 606 862 909 1212 1293 1724 1818 2586 2727 3636 3879 5172 5454 7758 10908 11093 11637 15516 22186 23274 33279 43531 44372 46548 66558 87062 99837 130593 133116 174124 199674 261186 299511 391779 399348 522372 599022 783558 1120393 1175337 1198044 1567116 2240786 2350674 3361179 4481572 4701348 4781083 6722358 9562166 10083537 13444716 14343249 19124332 20167074 28686498 30250611 40334148 43029747 57372996 60501222 86059494 121002444 129089241 172118988 258178482 482889383 516356964 965778766 1448668149 1931557532 2897336298 4346004447 5794672596 8692008894 13038013341 17384017788 26076026682 52152053364