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20345032331064 = 23327283142640027
BaseRepresentation
bin1001010000000111100100…
…11011001100111100111000
32200000222002021122222100100
410220003302123030330320
510131313111234043224
6111134213454235400
74166610603320220
oct450036233147470
980028067588310
1020345032331064
1165343093a2171
1223470061b5b60
13b476b393378c
145049c2047080
1525434ac1cac9
hex1280f26ccf38

20345032331064 has 96 divisors (see below), whose sum is σ = 63195238005120. Its totient is φ = 5792326175808.

The previous prime is 20345032331059. The next prime is 20345032331083. The reversal of 20345032331064 is 46013323054302.

20345032331064 is a `hidden beast` number, since 20 + 3 + 4 + 503 + 23 + 3 + 106 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 71177382 + ... + 71462645.

It is an arithmetic number, because the mean of its divisors is an integer number (658283729220).

Almost surely, 220345032331064 is an apocalyptic number.

20345032331064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20345032331064 is an abundant number, since it is smaller than the sum of its proper divisors (42850205674056).

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

20345032331064 is a wasteful number, since it uses less digits than its factorization.

20345032331064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142640329 (or 142640322 counting only the distinct ones).

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

Adding to 20345032331064 its reverse (46013323054302), we get a palindrome (66358355385366).

The spelling of 20345032331064 in words is "twenty trillion, three hundred forty-five billion, thirty-two million, three hundred thirty-one thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 283 504 566 849 1132 1698 1981 2264 2547 3396 3962 5094 5943 6792 7924 10188 11886 15848 17829 20376 23772 35658 47544 71316 142632 142640027 285280054 427920081 570560108 855840162 998480189 1141120216 1283760243 1711680324 1996960378 2567520486 2995440567 3423360648 3993920756 5135040972 5990881134 7987841512 8986321701 10270081944 11981762268 17972643402 23963524536 35945286804 40367127641 71890573608 80734255282 121101382923 161468510564 242202765846 282569893487 322937021128 363304148769 484405531692 565139786974 726608297538 847709680461 968811063384 1130279573948 1453216595076 1695419360922 2260559147896 2543129041383 2906433190152 3390838721844 5086258082766 6781677443688 10172516165532 20345032331064