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54312708096 = 2113219155087
BaseRepresentation
bin110010100101010010…
…100010100000000000
312012012010221102221100
4302211102202200000
51342213023124341
640541221454400
73631630254513
oct624522424000
9165163842840
1054312708096
1121041120519
12a639271400
1351773bb5ca
1428b3404d7a
15162d2d93b6
hexca54a2800

54312708096 has 144 divisors (see below), whose sum is σ = 165122193600. Its totient is φ = 17151270912.

The previous prime is 54312708089. The next prime is 54312708101. The reversal of 54312708096 is 69080721345.

54312708096 is a `hidden beast` number, since 543 + 1 + 27 + 0 + 80 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 272665 + ... + 427751.

It is an arithmetic number, because the mean of its divisors is an integer number (1146681900).

It is a 1-persistent number, because it is pandigital, but 2⋅54312708096 = 108625416192 is not.

Almost surely, 254312708096 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 54312708096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82561096800).

54312708096 is an abundant number, since it is smaller than the sum of its proper divisors (110809485504).

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

54312708096 is a wasteful number, since it uses less digits than its factorization.

54312708096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155134 (or 155111 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 54312708096 in words is "fifty-four billion, three hundred twelve million, seven hundred eight thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 64 72 76 96 114 128 144 152 171 192 228 256 288 304 342 384 456 512 576 608 684 768 912 1024 1152 1216 1368 1536 1824 2048 2304 2432 2736 3072 3648 4608 4864 5472 6144 7296 9216 9728 10944 14592 18432 19456 21888 29184 38912 43776 58368 87552 116736 155087 175104 310174 350208 465261 620348 930522 1240696 1395783 1861044 2481392 2791566 2946653 3722088 4962784 5583132 5893306 7444176 8839959 9925568 11166264 11786612 14888352 17679918 19851136 22332528 23573224 26519877 29776704 35359836 39702272 44665056 47146448 53039754 59553408 70719672 79404544 89330112 94292896 106079508 119106816 141439344 158809088 178660224 188585792 212159016 238213632 282878688 317618176 357320448 377171584 424318032 476427264 565757376 714640896 754343168 848636064 952854528 1131514752 1429281792 1508686336 1697272128 2263029504 2858563584 3017372672 3394544256 4526059008 6034745344 6789088512 9052118016 13578177024 18104236032 27156354048 54312708096