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320113464321006 = 232295311570644991
BaseRepresentation
bin100100011001001000011100…
…1010101000010001111101110
31112222102112210201112210220100
41020302100321111002033232
5313424214333331233011
63052454032332331530
7124266302030361456
oct11062207125021756
91488375721483810
10320113464321006
1192aa83a32a5284
122baa0173613ba6
131098075483c225
145909807dc8d66
152701d449ecd56
hex12324395423ee

320113464321006 has 48 divisors (see below), whose sum is σ = 731033350594560. Its totient is φ = 101081154632640.

The previous prime is 320113464320927. The next prime is 320113464321043. The reversal of 320113464321006 is 600123464311023.

320113464321006 is a `hidden beast` number, since 3 + 2 + 0 + 1 + 1 + 3 + 4 + 643 + 2 + 1 + 0 + 0 + 6 = 666.

It is a super-2 number, since 2×3201134643210062 (a number of 30 digits) contains 22 as substring.

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, 5785294830 + ... + 5785350161.

It is an arithmetic number, because the mean of its divisors is an integer number (15229861470720).

Almost surely, 2320113464321006 is an apocalyptic number.

320113464321006 is an abundant number, since it is smaller than the sum of its proper divisors (410919886273554).

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

320113464321006 is a wasteful number, since it uses less digits than its factorization.

320113464321006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11570645081 (or 11570645078 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 320113464321006 in words is "three hundred twenty trillion, one hundred thirteen billion, four hundred sixty-four million, three hundred twenty-one thousand, six".

Divisors: 1 2 3 6 9 18 29 53 58 87 106 159 174 261 318 477 522 954 1537 3074 4611 9222 13833 27666 11570644991 23141289982 34711934973 69423869946 104135804919 208271609838 335548704739 613244184523 671097409478 1006646114217 1226488369046 1839732553569 2013292228434 3019938342651 3679465107138 5519197660707 6039876685302 11038395321414 17784081351167 35568162702334 53352244053501 106704488107002 160056732160503 320113464321006