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155921808708768 = 25319420120348357
BaseRepresentation
bin100011011100111101100000…
…000001010101010010100000
3202110001222102221022012022110
4203130331200001111102200
5130414110331012140033
61311341253504235320
744561656526231424
oct4334754001252240
9673058387265273
10155921808708768
1145755082163273
12155a283630bb40
136900495712b7b
142a70927772b84
151305d3dac2363
hex8dcf600554a0

155921808708768 has 96 divisors (see below), whose sum is σ = 430939153592640. Its totient is φ = 49226742835200.

The previous prime is 155921808708751. The next prime is 155921808708793. The reversal of 155921808708768 is 867807808129551.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1559218087087682 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 155921808708768.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2511555 + ... + 17836802.

It is an arithmetic number, because the mean of its divisors is an integer number (4488949516590).

Almost surely, 2155921808708768 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 155921808708768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215469576796320).

155921808708768 is an abundant number, since it is smaller than the sum of its proper divisors (275017344883872).

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

155921808708768 is a wasteful number, since it uses less digits than its factorization.

155921808708768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20352590 (or 20352582 counting only the distinct ones).

The product of its (nonzero) digits is 541900800, while the sum is 75.

The spelling of 155921808708768 in words is "one hundred fifty-five trillion, nine hundred twenty-one billion, eight hundred eight million, seven hundred eight thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 304 456 608 912 1824 4201 8402 12603 16804 25206 33608 50412 67216 79819 100824 134432 159638 201648 239457 319276 403296 478914 638552 957828 1277104 1915656 2554208 3831312 7662624 20348357 40696714 61045071 81393428 122090142 162786856 244180284 325573712 386618783 488360568 651147424 773237566 976721136 1159856349 1546475132 1953442272 2319712698 3092950264 4639425396 6185900528 9278850792 12371801056 18557701584 37115403168 85483447757 170966895514 256450343271 341933791028 512900686542 683867582056 1025801373084 1367735164112 1624185507383 2051602746168 2735470328224 3248371014766 4103205492336 4872556522149 6496742029532 8206410984672 9745113044298 12993484059064 19490226088596 25986968118128 38980452177192 51973936236256 77960904354384 155921808708768