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48344972101533 = 33374133714712381
BaseRepresentation
bin10101111111000001100001…
…11000111000011110011101
320100011201211020011220111000
422333200300320320132131
522314041000324222113
6250453212405420513
713116544322410152
oct1277406070703635
9210151736156430
1048344972101533
1114449a95445068
1255096b540a739
1320c8bb01b1093
14bd1ca2946229
1558c86c5bd373
hex2bf830e3879d

48344972101533 has 128 divisors (see below), whose sum is σ = 75658747207680. Its totient is φ = 30469727232000.

The previous prime is 48344972101523. The next prime is 48344972101537. The reversal of 48344972101533 is 33510127944384.

48344972101533 is a `hidden beast` number, since 4 + 8 + 3 + 4 + 4 + 97 + 2 + 10 + 1 + 533 = 666.

It is not a de Polignac number, because 48344972101533 - 28 = 48344972101277 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 48344972101533.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48344972101537) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 20304481003 + ... + 20304483383.

It is an arithmetic number, because the mean of its divisors is an integer number (591083962560).

Almost surely, 248344972101533 is an apocalyptic number.

It is an amenable number.

48344972101533 is a deficient number, since it is larger than the sum of its proper divisors (27313775106147).

48344972101533 is a wasteful number, since it uses less digits than its factorization.

48344972101533 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4276 (or 4270 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 48344972101533 in words is "forty-eight trillion, three hundred forty-four billion, nine hundred seventy-two million, one hundred one thousand, five hundred thirty-three".

Divisors: 1 3 9 27 37 41 111 123 333 337 369 999 1011 1107 1471 1517 2381 3033 4413 4551 7143 9099 12469 13239 13653 13817 21429 37407 39717 40959 41451 54427 60311 64287 88097 97621 112221 124353 163281 180933 264291 292863 336663 373059 489843 495727 511229 542799 792873 802397 878589 1469529 1487181 1533687 1628397 2231507 2378619 2407191 2635767 3502451 3611977 4461543 4601061 6694521 7221573 10507353 10835931 13384629 13803183 18341899 20083563 20324807 21664719 29688689 31522059 32507793 32898277 55025697 60250689 60974421 89066067 94566177 97523379 98694831 129590687 143600491 165077091 182923263 267198201 296084493 388772061 430801473 495231273 548769789 752017859 801594603 888253479 1166316183 1180325987 1217236249 1292404419 2256053577 3498948549 3540977961 3651708747 3877213257 5313218167 6768160731 10622933883 10955126241 15939654501 20304482193 31868801649 32865378723 43672061519 47818963503 48393365467 131016184557 143456890509 145180096401 393048553671 435540289203 1179145661013 1306620867609 1790554522279 5371663566837 16114990700511 48344972101533