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97913846016 = 283276071047
BaseRepresentation
bin101101100110000011…
…1101011100100000000
3100100201210011201222100
41123030013223210000
53101011421033031
6112551521310400
710034252646630
oct1331407534400
9310653151870
1097913846016
11385858a47a8
1216b87195400
13930555bbbc
144a4bd7a6c0
152831009de6
hex16cc1eb900

97913846016 has 108 divisors (see below), whose sum is σ = 322639774912. Its totient is φ = 27975379968.

The previous prime is 97913845987. The next prime is 97913846033. The reversal of 97913846016 is 61064831979.

97913846016 is a `hidden beast` number, since 97 + 91 + 3 + 8 + 460 + 1 + 6 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3019396 + ... + 3051651.

Almost surely, 297913846016 is an apocalyptic number.

97913846016 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

97913846016 is an abundant number, since it is smaller than the sum of its proper divisors (224725928896).

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

97913846016 is a wasteful number, since it uses less digits than its factorization.

97913846016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6071076 (or 6071059 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 97913846016 in words is "ninety-seven billion, nine hundred thirteen million, eight hundred forty-six thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 256 288 336 384 448 504 576 672 768 896 1008 1152 1344 1792 2016 2304 2688 4032 5376 8064 16128 6071047 12142094 18213141 24284188 36426282 42497329 48568376 54639423 72852564 84994658 97136752 109278846 127491987 145705128 169989316 194273504 218557692 254983974 291410256 339978632 382475961 388547008 437115384 509967948 582820512 679957264 764951922 777094016 874230768 1019935896 1165641024 1359914528 1529903844 1554188032 1748461536 2039871792 2331282048 2719829056 3059807688 3496923072 4079743584 4662564096 5439658112 6119615376 6993846144 8159487168 10879316224 12239230752 13987692288 16318974336 24478461504 32637948672 48956923008 97913846016