Search a number
-
+
6355214125536 = 2532320871379141
BaseRepresentation
bin101110001111011000001…
…0001111100100111100000
3211111112220210120202211210
41130132300101330213200
51313110434304004121
621303313422310120
71224102062522463
oct134366021744740
924445823522753
106355214125536
11203025a76a461
12867824428340
133713a924b8b3
1417d845d412da
15b04a8b3c876
hex5c7b047c9e0

6355214125536 has 96 divisors (see below), whose sum is σ = 17416114103808. Its totient is φ = 2025327772160.

The previous prime is 6355214125501. The next prime is 6355214125549.

6355214125536 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3918526 + ... + 5297666.

It is an arithmetic number, because the mean of its divisors is an integer number (181417855248).

Almost surely, 26355214125536 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 6355214125536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8708057051904).

6355214125536 is an abundant number, since it is smaller than the sum of its proper divisors (11060899978272).

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

6355214125536 is a wasteful number, since it uses less digits than its factorization.

6355214125536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1381264 (or 1381256 counting only the distinct ones).

The product of its digits is 3240000, while the sum is 48.

The spelling of 6355214125536 in words is "six trillion, three hundred fifty-five billion, two hundred fourteen million, one hundred twenty-five thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 138 184 276 368 552 736 1104 2087 2208 4174 6261 8348 12522 16696 25044 33392 48001 50088 66784 96002 100176 144003 192004 200352 288006 384008 576012 768016 1152024 1379141 1536032 2304048 2758282 4137423 4608096 5516564 8274846 11033128 16549692 22066256 31720243 33099384 44132512 63440486 66198768 95160729 126880972 132397536 190321458 253761944 380642916 507523888 761285832 1015047776 1522571664 2878267267 3045143328 5756534534 8634801801 11513069068 17269603602 23026138136 34539207204 46052276272 66200147141 69078414408 92104552544 132400294282 138156828816 198600441423 264800588564 276313657632 397200882846 529601177128 794401765692 1059202354256 1588803531384 2118404708512 3177607062768 6355214125536