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446457740114052 = 223361267725315027
BaseRepresentation
bin110010110000011010000101…
…1000000011011100010000100
32011112202221110112111202101000
41211200310023000123202010
5432004230422432122202
64221311504313333300
7163016335666206312
oct14540641300334204
92145687415452330
10446457740114052
1111a28973418a837
12420a6601a07230
1316216a26ca20a4
147c3695437d0b2
1536935cc83391c
hex1960d0b01b884

446457740114052 has 96 divisors (see below), whose sum is σ = 1176897676922240. Its totient is φ = 146324900684160.

The previous prime is 446457740114047. The next prime is 446457740114129. The reversal of 446457740114052 is 250411047754644.

446457740114052 is a `hidden beast` number, since 4 + 4 + 6 + 4 + 577 + 4 + 0 + 1 + 14 + 0 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 446457740114052.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4978563 + ... + 30293589.

Almost surely, 2446457740114052 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 446457740114052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (588448838461120).

446457740114052 is an abundant number, since it is smaller than the sum of its proper divisors (730439936808188).

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

446457740114052 is a wasteful number, since it uses less digits than its factorization.

446457740114052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25317778 (or 25317770 counting only the distinct ones).

The product of its (nonzero) digits is 15052800, while the sum is 54.

Adding to 446457740114052 its reverse (250411047754644), we get a palindrome (696868787868696).

The spelling of 446457740114052 in words is "four hundred forty-six trillion, four hundred fifty-seven billion, seven hundred forty million, one hundred fourteen thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 61 108 122 183 244 366 549 732 1098 1647 2196 2677 3294 5354 6588 8031 10708 16062 24093 32124 48186 72279 96372 144558 163297 289116 326594 489891 653188 979782 1469673 1959564 2939346 4409019 5878692 8818038 17636076 25315027 50630054 75945081 101260108 151890162 227835243 303780324 455670486 683505729 911340972 1367011458 1544216647 2734022916 3088433294 4632649941 6176866588 9265299882 13897949823 18530599764 27795899646 41693849469 55591799292 67768327279 83387698938 135536654558 166775397876 203304981837 271073309116 406609963674 609914945511 813219927348 1219829891022 1829744836533 2439659782044 3659489673066 4133867964019 7318979346132 8267735928038 12401603892057 16535471856076 24803207784114 37204811676171 49606415568228 74409623352342 111614435028513 148819246704684 223228870057026 446457740114052