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54605454991056 = 24336112716316189
BaseRepresentation
bin11000110101001110100101…
…01111110101111011010000
321011100020020001020021112000
430122213102233311323100
524124123432434203211
6312045222201034000
714334054036064254
oct1432472257657320
9234306201207460
1054605454991056
1116443052865822
12615aaa0485900
132461370361168
14d6acbd48a264
1564a62e816656
hex31a9d2bf5ed0

54605454991056 has 160 divisors (see below), whose sum is σ = 160561751961600. Its totient is φ = 17762454904320.

The previous prime is 54605454991013. The next prime is 54605454991063. The reversal of 54605454991056 is 65019945450645.

It is a happy number.

54605454991056 is a `hidden beast` number, since 5 + 4 + 605 + 4 + 5 + 4 + 9 + 9 + 10 + 5 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 54605454990984 and 54605454991002.

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, 4811391 + ... + 11504798.

It is an arithmetic number, because the mean of its divisors is an integer number (1003510949760).

Almost surely, 254605454991056 is an apocalyptic number.

It is an amenable number.

54605454991056 is an abundant number, since it is smaller than the sum of its proper divisors (105956296970544).

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

54605454991056 is a wasteful number, since it uses less digits than its factorization.

54605454991056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16316394 (or 16316382 counting only the distinct ones).

The product of its (nonzero) digits is 116640000, while the sum is 63.

The spelling of 54605454991056 in words is "fifty-four trillion, six hundred five billion, four hundred fifty-four million, nine hundred ninety-one thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 61 72 108 122 127 144 183 216 244 254 366 381 432 488 508 549 732 762 976 1016 1098 1143 1464 1524 1647 2032 2196 2286 2928 3048 3294 3429 4392 4572 6096 6588 6858 7747 8784 9144 13176 13716 15494 18288 23241 26352 27432 30988 46482 54864 61976 69723 92964 123952 139446 185928 209169 278892 371856 418338 557784 836676 1115568 1673352 3346704 16316189 32632378 48948567 65264756 97897134 130529512 146845701 195794268 261059024 293691402 391588536 440537103 587382804 783177072 881074206 995287529 1174765608 1762148412 1990575058 2072156003 2349531216 2985862587 3524296824 3981150116 4144312006 5971725174 6216468009 7048593648 7962300232 8288624012 8957587761 11943450348 12432936018 15924600464 16577248024 17915175522 18649404027 23886900696 24865872036 26872763283 33154496048 35830351044 37298808054 47773801392 49731744072 53745526566 55948212081 71660702088 74597616108 99463488144 107491053132 111896424162 126401516183 143321404176 149195232216 214982106264 223792848324 252803032366 298390464432 379204548549 429964212528 447585696648 505606064732 758409097098 895171393296 1011212129464 1137613645647 1516818194196 2022424258928 2275227291294 3033636388392 3412840936941 4550454582588 6067272776784 6825681873882 9100909165176 13651363747764 18201818330352 27302727495528 54605454991056