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54213532472216 = 23133128382771849
BaseRepresentation
bin11000101001110100100100…
…10110000101001110011000
321002221202121021212110121002
430110322102112011032120
524101213303303102331
6311145204125204132
714263540605456065
oct1424722226051630
9232852537773532
1054213532472216
1116301914811597
1260b6b42400648
132433411323990
14d55d3dd9dc6c
156403421209cb
hex314e92585398

54213532472216 has 128 divisors (see below), whose sum is σ = 113538910464000. Its totient is φ = 24099405603840.

The previous prime is 54213532472173. The next prime is 54213532472243. The reversal of 54213532472216 is 61227423531245.

It is a happy number.

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, 754512260 + ... + 754584108.

It is an arithmetic number, because the mean of its divisors is an integer number (887022738000).

Almost surely, 254213532472216 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 54213532472216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56769455232000).

54213532472216 is an abundant number, since it is smaller than the sum of its proper divisors (59325377991784).

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

54213532472216 is a wasteful number, since it uses less digits than its factorization.

54213532472216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73009 (or 73005 counting only the distinct ones).

The product of its digits is 2419200, while the sum is 47.

The spelling of 54213532472216 in words is "fifty-four trillion, two hundred thirteen billion, five hundred thirty-two million, four hundred seventy-two thousand, two hundred sixteen".

Divisors: 1 2 4 8 13 26 31 52 62 104 124 248 283 403 566 806 827 1132 1612 1654 2264 3224 3308 3679 6616 7358 8773 10751 14716 17546 21502 25637 29432 35092 43004 51274 70184 71849 86008 102548 114049 143698 205096 228098 234041 287396 333281 456196 468082 574792 666562 912392 934037 936164 1333124 1868074 1872328 2227319 2666248 3042533 3736148 4454638 6085066 7255271 7472296 8909276 12170132 14510542 17818552 20333267 24340264 28955147 29021084 40666534 57910294 58042168 59419123 81333068 94318523 115820588 118838246 162666136 188637046 231641176 237676492 264332471 377274092 475352984 528664942 630331277 754548184 772448599 1057329884 1260662554 1544897198 1841992813 2114659768 2521325108 3089794396 3683985626 5042650216 6179588792 7367971252 8194306601 14735942504 16388613202 16815611809 23945906569 32777226404 33631223618 47891813138 65554452808 67262447236 95783626276 134524894472 191567252552 218602953517 437205907034 521283966079 874411814068 1042567932158 1748823628136 2085135864316 4170271728632 6776691559027 13553383118054 27106766236108 54213532472216