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189704318516352 = 2733121711450997
BaseRepresentation
bin101011001000100011111010…
…100001000111110010000000
3220212200120000010112010202000
4223020203322201013302000
5144331103421020010402
61511244543312024000
754646453600540323
oct5310437241076200
9825616003463660
10189704318516352
115549a171248312
1219339b74532000
1381b106ac082a3
1434bba4913a7ba
1516de9a0b7cc1c
hexac88fa847c80

189704318516352 has 128 divisors (see below), whose sum is σ = 559897059475200. Its totient is φ = 63234113080320.

The previous prime is 189704318516347. The next prime is 189704318516389. The reversal of 189704318516352 is 253615813407981.

189704318516352 is a `hidden beast` number, since 1 + 8 + 9 + 70 + 4 + 3 + 18 + 516 + 35 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 189704318516352.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 420407718 + ... + 420858714.

It is an arithmetic number, because the mean of its divisors is an integer number (4374195777150).

It is a 1-persistent number, because it is pandigital, but 2⋅189704318516352 = 379408637032704 is not.

Almost surely, 2189704318516352 is an apocalyptic number.

189704318516352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

189704318516352 is an abundant number, since it is smaller than the sum of its proper divisors (370192740958848).

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

189704318516352 is a wasteful number, since it uses less digits than its factorization.

189704318516352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 572731 (or 572713 counting only the distinct ones).

The product of its (nonzero) digits is 43545600, while the sum is 63.

The spelling of 189704318516352 in words is "one hundred eighty-nine trillion, seven hundred four billion, three hundred eighteen million, five hundred sixteen thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 576 864 1152 1728 3456 121711 243422 365133 450997 486844 730266 901994 973688 1095399 1352991 1460532 1803988 1947376 2190798 2705982 2921064 3286197 3607976 3894752 4058973 4381596 5411964 5842128 6572394 7215952 7789504 8117946 8763192 10823928 11684256 12176919 13144788 14431904 15579008 16235892 17526384 21647856 23368512 24353838 26289576 28863808 32471784 35052768 43295712 46737024 48707676 52579152 57727616 64943568 70105536 86591424 97415352 105158304 129887136 140211072 173182848 194830704 210316608 259774272 389661408 420633216 519548544 779322816 1558645632 54891295867 109782591734 164673887601 219565183468 329347775202 439130366936 494021662803 658695550404 878260733872 988043325606 1317391100808 1482064988409 1756521467744 1976086651212 2634782201616 2964129976818 3513042935488 3952173302424 5269564403232 5928259953636 7026085870976 7904346604848 10539128806464 11856519907272 15808693209696 21078257612928 23713039814544 31617386419392 47426079629088 63234772838784 94852159258176 189704318516352