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52272834624 = 2633234712889
BaseRepresentation
bin110000101011101101…
…000010100001000000
311222220222120010121000
4300223231002201000
51324023321201444
640002552132000
73530240522523
oct605355024100
9158828503530
1052272834624
112019471a37a
12a16a097000
134c108c319a
14275c52abba
15155e19c469
hexc2bb42840

52272834624 has 112 divisors (see below), whose sum is σ = 153749857600. Its totient is φ = 17415502848.

The previous prime is 52272834623. The next prime is 52272834673. The reversal of 52272834624 is 42643827225.

52272834624 is a `hidden beast` number, since 522 + 7 + 2 + 83 + 46 + 2 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 52272834624.

It is not an unprimeable number, because it can be changed into a prime (52272834623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4049172 + ... + 4062060.

Almost surely, 252272834624 is an apocalyptic number.

52272834624 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 52272834624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76874928800).

52272834624 is an abundant number, since it is smaller than the sum of its proper divisors (101477022976).

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

52272834624 is a wasteful number, since it uses less digits than its factorization.

52272834624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15257 (or 15241 counting only the distinct ones).

The product of its digits is 1290240, while the sum is 45.

The spelling of 52272834624 in words is "fifty-two billion, two hundred seventy-two million, eight hundred thirty-four thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1728 2347 4694 7041 9388 12889 14082 18776 21123 25778 28164 37552 38667 42246 51556 56328 63369 75104 77334 84492 103112 112656 116001 126738 150208 154668 168984 206224 225312 232002 253476 309336 337968 348003 412448 450624 464004 506952 618672 675936 696006 824896 928008 1013904 1237344 1351872 1392012 1856016 2027808 2474688 2784024 3712032 4055616 5568048 7424064 11136096 22272192 30250483 60500966 90751449 121001932 181502898 242003864 272254347 363005796 484007728 544508694 726011592 816763041 968015456 1089017388 1452023184 1633526082 1936030912 2178034776 2904046368 3267052164 4356069552 5808092736 6534104328 8712139104 13068208656 17424278208 26136417312 52272834624