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52001040024 = 23323121315737
BaseRepresentation
bin110000011011100000…
…001110011010011000
311222020001010112111100
4300123200032122120
51322444231240044
635520002431400
73520430355453
oct603340163230
9158201115440
1052001040024
112006526003a
12a0b3062560
134b994bc58b
1427343ba49a
1515453b0869
hexc1b80e698

52001040024 has 144 divisors (see below), whose sum is σ = 146662247160. Its totient is φ = 16643577600.

The previous prime is 52001040011. The next prime is 52001040031. The reversal of 52001040024 is 42004010025.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 52001039979 and 52001040006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9061284 + ... + 9067020.

Almost surely, 252001040024 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 52001040024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73331123580).

52001040024 is an abundant number, since it is smaller than the sum of its proper divisors (94661207136).

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

52001040024 is a wasteful number, since it uses less digits than its factorization.

52001040024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5942 (or 5904 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

Adding to 52001040024 its reverse (42004010025), we get a palindrome (94005050049).

The spelling of 52001040024 in words is "fifty-two billion, one million, forty thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 62 72 93 124 131 186 248 262 279 372 393 524 558 744 786 961 1048 1116 1179 1572 1922 2232 2358 2883 3144 3844 4061 4716 5737 5766 7688 8122 8649 9432 11474 11532 12183 16244 17211 17298 22948 23064 24366 32488 34422 34596 36549 45896 48732 51633 68844 69192 73098 97464 103266 125891 137688 146196 177847 206532 251782 292392 355694 377673 413064 503564 533541 711388 751547 755346 1007128 1067082 1133019 1422776 1503094 1510692 1600623 2134164 2254641 2266038 3006188 3021384 3201246 4268328 4509282 4532076 5513257 6012376 6402492 6763923 9018564 9064152 11026514 12804984 13527846 16539771 18037128 22053028 23297957 27055692 33079542 44106056 46595914 49619313 54111384 66159084 69893871 93191828 99238626 132318168 139787742 186383656 198477252 209681613 279575484 396954504 419363226 559150968 722236667 838726452 1444473334 1677452904 2166710001 2888946668 4333420002 5777893336 6500130003 8666840004 13000260006 17333680008 26000520012 52001040024