Search a number
-
+
851258439642144 = 25353701238669163
BaseRepresentation
bin1100000110001101110000110…
…0111010000010110000100000
311010122001111211021220000120110
43001203130030322002300200
51343034004241022022034
612214250421204211320
7344206251460634442
oct30143341472026040
94118044737800513
10851258439642144
11227267749a09586
127b583709099b40
132a6cb43219a581
141102d1b2142492
1568632bb33bde9
hex306370ce82c20

851258439642144 has 96 divisors (see below), whose sum is σ = 2279962608565824. Its totient is φ = 278001839897600.

The previous prime is 851258439642073. The next prime is 851258439642161. The reversal of 851258439642144 is 441246934852158.

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

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, 115767894 + ... + 122901269.

It is an arithmetic number, because the mean of its divisors is an integer number (23749610505894).

Almost surely, 2851258439642144 is an apocalyptic number.

It is an amenable number.

851258439642144 is an abundant number, since it is smaller than the sum of its proper divisors (1428704168923680).

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

851258439642144 is a wasteful number, since it uses less digits than its factorization.

851258439642144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238669930 (or 238669922 counting only the distinct ones).

The product of its digits is 265420800, while the sum is 66.

The spelling of 851258439642144 in words is "eight hundred fifty-one trillion, two hundred fifty-eight billion, four hundred thirty-nine million, six hundred forty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 96 106 159 212 318 424 636 701 848 1272 1402 1696 2103 2544 2804 4206 5088 5608 8412 11216 16824 22432 33648 37153 67296 74306 111459 148612 222918 297224 445836 594448 891672 1188896 1783344 3566688 238669163 477338326 716007489 954676652 1432014978 1909353304 2864029956 3818706608 5728059912 7637413216 11456119824 12649465639 22912239648 25298931278 37948396917 50597862556 75896793834 101195725112 151793587668 167307083263 202391450224 303587175336 334614166526 404782900448 501921249789 607174350672 669228333052 1003842499578 1214348701344 1338456666104 2007684999156 2676913332208 4015369998312 5353826664416 8030739996624 8867275412939 16061479993248 17734550825878 26601826238817 35469101651756 53203652477634 70938203303512 106407304955268 141876406607024 212814609910536 283752813214048 425629219821072 851258439642144