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53345324665116 = 2232111812413088201
BaseRepresentation
bin11000010000100011011010…
…01000001000100100011100
320222212202121101201010012200
430020101231020020210130
523443002211103240431
6305242300454531500
714144033606044431
oct1410215510104434
9228782541633180
1053345324665116
1115aa7697077890
125b96821366b90
13239c59a318343
14d25cdb065b88
1562797ac32ee6
hex30846d20891c

53345324665116 has 144 divisors (see below), whose sum is σ = 148530311625696. Its totient is φ = 16009228800000.

The previous prime is 53345324665079. The next prime is 53345324665177. The reversal of 53345324665116 is 61156642354335.

53345324665116 is a `hidden beast` number, since 5 + 3 + 3 + 4 + 532 + 46 + 6 + 51 + 16 = 666.

53345324665116 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15729816 + ... + 18818016.

Almost surely, 253345324665116 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 53345324665116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74265155812848).

53345324665116 is an abundant number, since it is smaller than the sum of its proper divisors (95184986960580).

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

53345324665116 is a wasteful number, since it uses less digits than its factorization.

53345324665116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3088644 (or 3088639 counting only the distinct ones).

The product of its digits is 23328000, while the sum is 54.

The spelling of 53345324665116 in words is "fifty-three trillion, three hundred forty-five billion, three hundred twenty-four million, six hundred sixty-five thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 181 198 241 362 396 482 543 723 724 964 1086 1446 1629 1991 2169 2172 2651 2892 3258 3982 4338 5302 5973 6516 7953 7964 8676 10604 11946 15906 17919 23859 23892 31812 35838 43621 47718 71676 87242 95436 130863 174484 261726 392589 479831 523452 785178 959662 1439493 1570356 1919324 2878986 3088201 4318479 5757972 6176402 8636958 9264603 12352804 17273916 18529206 27793809 33970211 37058412 55587618 67940422 101910633 111175236 135880844 203821266 305731899 407642532 558964381 611463798 744256441 1117928762 1222927596 1488512882 1676893143 2232769323 2235857524 2977025764 3353786286 4465538646 5030679429 6148608191 6698307969 6707572572 8186820851 8931077292 10061358858 12297216382 13396615938 16373641702 18445824573 20122717716 24560462553 24594432764 26793231876 32747283404 36891649146 49120925106 55337473719 73681387659 73783298292 98241850212 110674947438 134710415821 147362775318 221349894876 269420831642 294725550636 404131247463 538841663284 808262494926 1212393742389 1481814574031 1616524989852 2424787484778 2963629148062 4445443722093 4849574969556 5927258296124 8890887444186 13336331166279 17781774888372 26672662332558 53345324665116