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21857345448696 = 23324314594838839
BaseRepresentation
bin1001111100001000011110…
…10011111010101011111000
32212101112121222121022001200
410332010033103322223320
510331102320413324241
6114253043105014200
74414066252605012
oct476041723725370
985345558538050
1021857345448696
116a6771476002a
122550124924360
13c271a60232b4
14557c88b1b1b2
1527d85e0884b6
hex13e10f4faaf8

21857345448696 has 96 divisors (see below), whose sum is σ = 60615180912000. Its totient is φ = 7111466010432.

The previous prime is 21857345448647. The next prime is 21857345448703. The reversal of 21857345448696 is 69684454375812.

21857345448696 is a `hidden beast` number, since 2 + 1 + 8 + 5 + 7 + 3 + 4 + 54 + 486 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

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, 2097645 + ... + 6936483.

It is an arithmetic number, because the mean of its divisors is an integer number (631408134500).

Almost surely, 221857345448696 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 21857345448696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30307590456000).

21857345448696 is an abundant number, since it is smaller than the sum of its proper divisors (38757835463304).

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

21857345448696 is a wasteful number, since it uses less digits than its factorization.

21857345448696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4840353 (or 4840346 counting only the distinct ones).

The product of its digits is 1393459200, while the sum is 72.

The spelling of 21857345448696 in words is "twenty-one trillion, eight hundred fifty-seven billion, three hundred forty-five million, four hundred forty-eight thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 43 72 86 129 172 258 344 387 516 774 1032 1459 1548 2918 3096 4377 5836 8754 11672 13131 17508 26262 35016 52524 62737 105048 125474 188211 250948 376422 501896 564633 752844 1129266 1505688 2258532 4517064 4838839 9677678 14516517 19355356 29033034 38710712 43549551 58066068 87099102 116132136 174198204 208070077 348396408 416140154 624210231 832280308 1248420462 1664560616 1872630693 2496840924 3745261386 4993681848 7059866101 7490522772 14119732202 14981045544 21179598303 28239464404 42359196606 56478928808 63538794909 84718393212 127077589818 169436786424 254155179636 303574242343 508310359272 607148484686 910722727029 1214296969372 1821445454058 2428593938744 2732168181087 3642890908116 5464336362174 7285781816232 10928672724348 21857345448696