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52400463232 = 2713374319793
BaseRepresentation
bin110000110011010011…
…111001110110000000
312000020212201100010111
4300303103321312000
51324304004310412
640023351441104
73533350405555
oct606323716600
9160225640114
1052400463232
112024a771667
12a1a4986194
134c3118b480
142771470a2c
15156a4ad2a7
hexc334f9d80

52400463232 has 128 divisors (see below), whose sum is σ = 118151177760. Its totient is φ = 22982787072.

The previous prime is 52400463191. The next prime is 52400463331. The reversal of 52400463232 is 23236400425.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 52400463194 and 52400463203.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2637528 + ... + 2657320.

Almost surely, 252400463232 is an apocalyptic number.

52400463232 is a gapful number since it is divisible by the number (52) 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 52400463232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59075588880).

52400463232 is an abundant number, since it is smaller than the sum of its proper divisors (65750714528).

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

52400463232 is a wasteful number, since it uses less digits than its factorization.

52400463232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19900 (or 19888 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 31.

Adding to 52400463232 its reverse (23236400425), we get a palindrome (75636863657).

The spelling of 52400463232 in words is "fifty-two billion, four hundred million, four hundred sixty-three thousand, two hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 32 37 43 52 64 74 86 104 128 148 172 208 296 344 416 481 559 592 688 832 962 1118 1184 1376 1591 1664 1924 2236 2368 2752 3182 3848 4472 4736 5504 6364 7696 8944 12728 15392 17888 19793 20683 25456 30784 35776 39586 41366 50912 61568 71552 79172 82732 101824 158344 165464 203648 257309 316688 330928 514618 633376 661856 732341 851099 1029236 1266752 1323712 1464682 1702198 2058472 2533504 2647424 2929364 3404396 4116944 5858728 6808792 8233888 9520433 11064287 11717456 13617584 16467776 19040866 22128574 23434912 27235168 31490663 32935552 38081732 44257148 46869824 54470336 62981326 76163464 88514296 93739648 108940672 125962652 152326928 177028592 251925304 304653856 354057184 409378619 503850608 609307712 708114368 818757238 1007701216 1218615424 1416228736 1637514476 2015402432 3275028952 4030804864 6550057904 13100115808 26200231616 52400463232