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52828664976 = 24321722519587
BaseRepresentation
bin110001001100110101…
…010111010010010000
312001100201110020111100
4301030311113102100
51331143114234401
640134045344400
73550100146263
oct611465272220
9161321406440
1052828664976
112044a4499aa
12a2a4268100
134c9bac5399
1427b2296cda
151592d92b86
hexc4cd57490

52828664976 has 120 divisors (see below), whose sum is σ = 156629644704. Its totient is φ = 16564608000.

The previous prime is 52828664963. The next prime is 52828665011. The reversal of 52828664976 is 67946682825.

52828664976 is a `hidden beast` number, since 5 + 2 + 82 + 8 + 66 + 497 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5505655 + ... + 5515241.

Almost surely, 252828664976 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 52828664976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78314822352).

52828664976 is an abundant number, since it is smaller than the sum of its proper divisors (103800979728).

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

52828664976 is a wasteful number, since it uses less digits than its factorization.

52828664976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11869 (or 11860 counting only the distinct ones).

The product of its digits is 69672960, while the sum is 63.

The spelling of 52828664976 in words is "fifty-two billion, eight hundred twenty-eight million, six hundred sixty-four thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 102 136 144 153 204 272 306 408 612 816 1224 2251 2448 4502 6753 9004 9587 13506 18008 19174 20259 27012 28761 36016 38267 38348 40518 54024 57522 76534 76696 81036 86283 108048 114801 115044 153068 153392 162072 162979 172566 229602 230088 306136 324144 325958 344403 345132 459204 460176 488937 612272 651916 688806 690264 918408 977874 1303832 1377612 1380528 1466811 1836816 1955748 2607664 2755224 2933622 3911496 5510448 5867244 7822992 11734488 21580337 23468976 43160674 64741011 86321348 129482022 172642696 194223033 258964044 345285392 366865729 388446066 517928088 733731458 776892132 1035856176 1100597187 1467462916 1553784264 2201194374 2934925832 3107568528 3301791561 4402388748 5869851664 6603583122 8804777496 13207166244 17609554992 26414332488 52828664976