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448216429131702 = 232711607532765201
BaseRepresentation
bin110010111101001101000010…
…1000010100111011110110110
32011210000001221121011120122100
41211322122011002213132312
5432222034221324203302
64225135441314442530
7163260365644205520
oct14572320502473666
92153001847146570
10448216429131702
1111a8a757a2a29a0
124232b41b293446
131631382168302a
147c97b10400a10
1536c4210745d1c
hex197a6850a77b6

448216429131702 has 96 divisors (see below), whose sum is σ = 1212761133103104. Its totient is φ = 116228056032000.

The previous prime is 448216429131701. The next prime is 448216429131703. The reversal of 448216429131702 is 207131924612844.

It is a happy number.

448216429131702 is a `hidden beast` number, since 4 + 4 + 8 + 2 + 16 + 429 + 131 + 70 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (448216429131701) and next prime (448216429131703).

It is a super-2 number, since 2×4482164291317022 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (448216429131701) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 265541299 + ... + 267223902.

It is an arithmetic number, because the mean of its divisors is an integer number (12632928469824).

Almost surely, 2448216429131702 is an apocalyptic number.

448216429131702 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

448216429131702 is an abundant number, since it is smaller than the sum of its proper divisors (764544703971402).

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

448216429131702 is a wasteful number, since it uses less digits than its factorization.

448216429131702 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 532765834 (or 532765831 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 448216429131702 in words is "four hundred forty-eight trillion, two hundred sixteen billion, four hundred twenty-nine million, one hundred thirty-one thousand, seven hundred two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 126 154 198 231 462 607 693 1214 1386 1821 3642 4249 5463 6677 8498 10926 12747 13354 20031 25494 38241 40062 46739 60093 76482 93478 120186 140217 280434 420651 841302 532765201 1065530402 1598295603 3196591206 3729356407 4794886809 5860417211 7458712814 9589773618 11188069221 11720834422 17581251633 22376138442 33564207663 35162503266 41022920477 52743754899 67128415326 82045840954 105487509798 123068761431 246137522862 323388477007 369206284293 646776954014 738412568586 970165431021 1940330862042 2263719339049 2910496293063 3557273247077 4527438678098 5820992586126 6791158017147 7114546494154 10671819741231 13582316034294 20373474051441 21343639482462 24900912729539 32015459223693 40746948102882 49801825459078 64030918447386 74702738188617 149405476377234 224108214565851 448216429131702