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52265324672 = 271141672
BaseRepresentation
bin110000101011010000…
…011001000010000000
311222220110102120212122
4300223100121002000
51324014410342142
640002123143412
73530116633601
oct605320310200
9158813376778
1052265324672
1120190460000
12a167674b68
134c0c193b22
14275b533da8
15155d6b71d2
hexc2b419080

52265324672 has 120 divisors (see below), whose sum is σ = 115223786175. Its totient is φ = 23614708480.

The previous prime is 52265324651. The next prime is 52265324687. The reversal of 52265324672 is 27642356225.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 26132662336 + 26132662336 = 161656^2 + 161656^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=161656.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a Duffinian number.

Its product of digits (1209600) is a multiple of the sum of its prime divisors (180).

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 14 ways as a sum of consecutive naturals, for example, 312965933 + ... + 312966099.

Almost surely, 252265324672 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 52265324672

52265324672 is an abundant number, since it is smaller than the sum of its proper divisors (62958461503).

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

52265324672 is an frugal number, since it uses more digits than its factorization.

52265324672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 180 counting only the distinct ones).

The product of its digits is 1209600, while the sum is 44.

The spelling of 52265324672 in words is "fifty-two billion, two hundred sixty-five million, three hundred twenty-four thousand, six hundred seventy-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 167 176 242 334 352 484 668 704 968 1331 1336 1408 1837 1936 2662 2672 3674 3872 5324 5344 7348 7744 10648 10688 14641 14696 15488 20207 21296 21376 27889 29282 29392 40414 42592 55778 58564 58784 80828 85184 111556 117128 117568 161656 170368 222277 223112 234256 235136 306779 323312 444554 446224 468512 613558 646624 889108 892448 937024 1227116 1293248 1778216 1784896 1874048 2445047 2454232 2586496 3374569 3556432 3569792 4890094 4908464 6749138 7112864 9780188 9816928 13498276 14225728 19560376 19633856 26996552 28451456 37120259 39120752 39267712 53993104 74240518 78241504 107986208 148481036 156483008 215972416 296962072 312966016 408322849 431944832 593924144 816645698 1187848288 1633291396 2375696576 3266582792 4751393152 6533165584 13066331168 26132662336 52265324672