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20345032360602 = 23223293319152561
BaseRepresentation
bin1001010000000111100100…
…11011010100001010011010
32200000222002021201110212100
410220003302123110022122
510131313111241014402
6111134213455024230
74166610603502305
oct450036233241232
980028067643770
1020345032360602
116534309412384
12234700620b076
13b476b3944061
145049c2053b3c
1525434ac2671c
hex1280f26d429a

20345032360602 has 96 divisors (see below), whose sum is σ = 46169794734336. Its totient is φ = 6462533721600.

The previous prime is 20345032360577. The next prime is 20345032360607. The reversal of 20345032360602 is 20606323054302.

20345032360602 is a `hidden beast` number, since 2 + 0 + 3 + 45 + 0 + 3 + 2 + 3 + 6 + 0 + 602 = 666.

It is not an unprimeable number, because it can be changed into a prime (20345032360607) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 387048402 + ... + 387100962.

It is an arithmetic number, because the mean of its divisors is an integer number (480935361816).

Almost surely, 220345032360602 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20345032360602, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23084897367168).

20345032360602 is an abundant number, since it is smaller than the sum of its proper divisors (25824762373734).

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

20345032360602 is a wasteful number, since it uses less digits than its factorization.

20345032360602 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56076 (or 56073 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 36.

The spelling of 20345032360602 in words is "twenty trillion, three hundred forty-five billion, thirty-two million, three hundred sixty thousand, six hundred two".

Divisors: 1 2 3 6 9 18 23 46 69 138 207 293 414 586 879 1758 2637 3191 5274 6382 6739 9573 13478 19146 20217 28719 40434 52561 57438 60651 73393 105122 121302 146786 157683 220179 315366 440358 473049 660537 934963 946098 1208903 1321074 1869926 2417806 2804889 3626709 5609778 7253418 8414667 10880127 15400373 16829334 21504149 21760254 30800746 43008298 46201119 64512447 92402238 129024894 138603357 167722151 193537341 277206714 335444302 354208579 387074682 503166453 708417158 1006332906 1062625737 1509499359 2125251474 3018998718 3187877211 3857609473 6375754422 7715218946 11572828419 23145656838 34718485257 49142590243 69436970514 98285180486 147427770729 294855541458 442283312187 884566624374 1130279575589 2260559151178 3390838726767 6781677453534 10172516180301 20345032360602