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106824507062 = 271341711631237
BaseRepresentation
bin110001101111100111…
…1001001111010110110
3101012201210011012222112
41203133033021322312
53222234033211222
6121024031531022
710501132220360
oct1433717117266
9335653135875
10106824507062
1141338716289
1218853389a72
13a0c565c0c0
145255577d30
152ba343abe2
hex18df3c9eb6

106824507062 has 128 divisors (see below), whose sum is σ = 206293506048. Its totient is φ = 40366771200.

The previous prime is 106824507019. The next prime is 106824507121. The reversal of 106824507062 is 260705428601.

It is a super-2 number, since 2×1068245070622 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 86357108 + ... + 86358344.

It is an arithmetic number, because the mean of its divisors is an integer number (1611668016).

Almost surely, 2106824507062 is an apocalyptic number.

106824507062 is a deficient number, since it is larger than the sum of its proper divisors (99468998986).

106824507062 is a wasteful number, since it uses less digits than its factorization.

106824507062 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1534.

The product of its (nonzero) digits is 161280, while the sum is 41.

The spelling of 106824507062 in words is "one hundred six billion, eight hundred twenty-four million, five hundred seven thousand, sixty-two".

Divisors: 1 2 7 13 14 26 41 71 82 91 142 163 182 287 326 497 533 574 923 994 1066 1141 1237 1846 2119 2282 2474 2911 3731 4238 5822 6461 6683 7462 8659 11573 12922 13366 14833 16081 17318 20377 23146 29666 32162 37843 40754 46781 50717 75686 81011 86879 87827 93562 101434 112567 150449 162022 173758 175654 201631 225134 264901 300898 355019 403262 474493 529802 608153 614789 659321 710038 948986 1053143 1141751 1216306 1229578 1318642 1411417 2106286 2283502 2621203 2822834 3321451 3600907 4615247 5242406 6168409 6642902 7201814 7992257 8266871 9230494 12336818 14315801 15984514 16533742 18348421 25206349 28631602 36696842 43178863 46811791 50412698 57868097 86357726 93623582 100210607 107469323 115736194 186105413 200421214 214938646 327682537 372210826 586947841 655365074 752285261 1173895682 1302737891 1504570522 2605475782 4108634887 7630321933 8217269774 15260643866 53412253531 106824507062