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216532445566104 = 233323283154012141
BaseRepresentation
bin110001001110111101100011…
…100000000001010010011000
31001101200022002102200002221000
4301032331203200001102120
5211340131422031103404
62044305344321545000
763415644600065103
oct6116754340012230
91041608072602830
10216532445566104
1162aa2992595258
1220351531aa5160
1393a8bca83ab85
143b68324cd173a
151a0778c24e339
hexc4ef63801498

216532445566104 has 128 divisors (see below), whose sum is σ = 629848055923200. Its totient is φ = 68795374792320.

The previous prime is 216532445566093. The next prime is 216532445566141. The reversal of 216532445566104 is 401665544235612.

216532445566104 is a `hidden beast` number, since 2 + 1 + 6 + 5 + 3 + 24 + 4 + 556 + 61 + 0 + 4 = 666.

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

It is a congruent number.

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, 75600127 + ... + 78412014.

It is an arithmetic number, because the mean of its divisors is an integer number (4920687936900).

Almost surely, 2216532445566104 is an apocalyptic number.

216532445566104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

216532445566104 is an abundant number, since it is smaller than the sum of its proper divisors (413315610357096).

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

216532445566104 is a wasteful number, since it uses less digits than its factorization.

216532445566104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154012462 (or 154012452 counting only the distinct ones).

The product of its (nonzero) digits is 20736000, while the sum is 54.

The spelling of 216532445566104 in words is "two hundred sixteen trillion, five hundred thirty-two billion, four hundred forty-five million, five hundred sixty-six thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 27 36 46 54 69 72 92 108 138 184 207 216 276 283 414 552 566 621 828 849 1132 1242 1656 1698 2264 2484 2547 3396 4968 5094 6509 6792 7641 10188 13018 15282 19527 20376 26036 30564 39054 52072 58581 61128 78108 117162 156216 175743 234324 351486 468648 702972 1405944 154012141 308024282 462036423 616048564 924072846 1232097128 1386109269 1848145692 2772218538 3542279243 3696291384 4158327807 5544437076 7084558486 8316655614 10626837729 11088874152 14169116972 16633311228 21253675458 28338233944 31880513187 33266622456 42507350916 43585435903 63761026374 85014701832 87170871806 95641539561 127522052748 130756307709 174341743612 191283079122 255044105496 261512615418 348683487224 382566158244 392268923127 523025230836 765132316488 784537846254 1002465025769 1046050461672 1176806769381 1569075692508 2004930051538 2353613538762 3007395077307 3138151385016 4009860103076 4707227077524 6014790154614 8019720206152 9022185231921 9414454155048 12029580309228 18044370463842 24059160618456 27066555695763 36088740927684 54133111391526 72177481855368 108266222783052 216532445566104