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52414333504 = 2613791395737
BaseRepresentation
bin110000110100001000…
…110100001001000000
312000021211211000120021
4300310020310021000
51324321032133004
640025005023224
73533606324641
oct606410641100
9160254730507
1052414333504
11202575855a5
12a1a9554b14
134c34006830
1427732416c8
15156b7ecd54
hexc34234240

52414333504 has 112 divisors (see below), whose sum is σ = 114264236800. Its totient is φ = 23709044736.

The previous prime is 52414333463. The next prime is 52414333523. The reversal of 52414333504 is 40533341425.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 52414333504.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9133324 + ... + 9139060.

It is an arithmetic number, because the mean of its divisors is an integer number (1020216400).

Almost surely, 252414333504 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 52414333504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57132118400).

52414333504 is an abundant number, since it is smaller than the sum of its proper divisors (61849903296).

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

52414333504 is a wasteful number, since it uses less digits than its factorization.

52414333504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5980 (or 5970 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 34.

Adding to 52414333504 its reverse (40533341425), we get a palindrome (92947674929).

The spelling of 52414333504 in words is "fifty-two billion, four hundred fourteen million, three hundred thirty-three thousand, five hundred four".

Divisors: 1 2 4 8 13 16 26 32 52 64 79 104 139 158 208 278 316 416 556 632 832 1027 1112 1264 1807 2054 2224 2528 3614 4108 4448 5056 5737 7228 8216 8896 10981 11474 14456 16432 21962 22948 28912 32864 43924 45896 57824 65728 74581 87848 91792 115648 142753 149162 175696 183584 285506 298324 351392 367168 453223 571012 596648 702784 797443 906446 1142024 1193296 1594886 1812892 2284048 2386592 3189772 3625784 4568096 4773184 5891899 6379544 7251568 9136192 10366759 11783798 12759088 14503136 20733518 23567596 25518176 29006272 41467036 47135192 51036352 62997997 82934072 94270384 125995994 165868144 188540768 251991988 331736288 377081536 503983976 663472576 818973961 1007967952 1637947922 2015935904 3275895844 4031871808 6551791688 13103583376 26207166752 52414333504