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54212266630016 = 27112511087141121
BaseRepresentation
bin11000101001110010001101…
…11001010001101110000000
321002221122100001222000112122
430110321012321101232000
524101203210224130031
6311144434345543412
714263464335132045
oct1424710671215600
9232848301860478
1054212266630016
1116301325224610
1260b684a4a4b68
13243326bcb8321
14d55c5dc111cc
156402bae2b47b
hex314e46e51b80

54212266630016 has 128 divisors (see below), whose sum is σ = 118398332344320. Its totient is φ = 24521011200000.

The previous prime is 54212266630009. The next prime is 54212266630021. The reversal of 54212266630016 is 61003666221245.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 384083936 + ... + 384225056.

It is an arithmetic number, because the mean of its divisors is an integer number (924986971440).

Almost surely, 254212266630016 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 54212266630016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59199166172160).

54212266630016 is an abundant number, since it is smaller than the sum of its proper divisors (64186065714304).

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

54212266630016 is a wasteful number, since it uses less digits than its factorization.

54212266630016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142484 (or 142472 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 44.

The spelling of 54212266630016 in words is "fifty-four trillion, two hundred twelve billion, two hundred sixty-six million, six hundred thirty thousand, sixteen".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 251 352 502 704 1004 1087 1408 2008 2174 2761 4016 4348 5522 8032 8696 11044 11957 16064 17392 22088 23914 32128 34784 44176 47828 69568 88352 95656 139136 141121 176704 191312 272837 282242 353408 382624 545674 564484 765248 1091348 1128968 1530496 1552331 2182696 2257936 3001207 3104662 4365392 4515872 6002414 6209324 8730784 9031744 12004828 12418648 17461568 18063488 24009656 24837296 34923136 35421371 48019312 49674592 70842742 96038624 99349184 141685484 153398527 192077248 198698368 283370968 306797054 384154496 389635081 566741936 613594108 779270162 1133483872 1227188216 1558540324 1687383797 2266967744 2454376432 3117080648 3374767594 4533935488 4908752864 6234161296 6749535188 9817505728 12468322592 13499070376 19635011456 24936645184 26998140752 38503030277 49873290368 53996281504 77006060554 107992563008 154012121108 215985126016 308024242216 423533333047 616048484432 847066666094 1232096968864 1694133332188 2464193937728 3388266664376 4928387875456 6776533328752 13553066657504 27106133315008 54212266630016