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54894775540068 = 223237151279197789
BaseRepresentation
bin11000111101101001011111…
…00110001001100101100100
321012100220000021212222121100
430132310233212021211210
524143344000014240233
6312430151200320100
714364005466140202
oct1436645746114544
9235326007788540
1054894775540068
111654481a763472
1261a6b85313030
13248272a7a94a9
14d7acc8120072
15652e14653813
hex31ed2f989964

54894775540068 has 144 divisors (see below), whose sum is σ = 143508768282880. Its totient is φ = 17679288096000.

The previous prime is 54894775540037. The next prime is 54894775540091. The reversal of 54894775540068 is 86004557749845.

54894775540068 is a `hidden beast` number, since 5 + 4 + 8 + 9 + 4 + 7 + 7 + 554 + 0 + 0 + 68 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 54894775539978 and 54894775540005.

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, 561310518 + ... + 561408306.

Almost surely, 254894775540068 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 54894775540068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71754384141440).

54894775540068 is an abundant number, since it is smaller than the sum of its proper divisors (88613992742812).

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

54894775540068 is a wasteful number, since it uses less digits than its factorization.

54894775540068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100778 (or 100773 counting only the distinct ones).

The product of its (nonzero) digits is 1354752000, while the sum is 72.

The spelling of 54894775540068 in words is "fifty-four trillion, eight hundred ninety-four billion, seven hundred seventy-five million, five hundred forty thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 151 222 302 333 444 453 604 666 906 1332 1359 1812 2718 2791 5436 5582 5587 8373 11164 11174 16746 16761 22348 25119 33492 33522 50238 50283 67044 97789 100476 100566 103267 195578 201132 206534 293367 309801 391156 413068 421441 586734 619602 842882 880101 929403 1173468 1239204 1264323 1685764 1760202 1858806 2528646 3520404 3618193 3717612 3792969 5057292 7236386 7585938 10854579 14472772 14766139 15171876 15593317 21709158 29532278 31186634 32563737 43418316 44298417 46779951 59064556 62373268 65127474 88596834 93559902 130254948 132895251 140339853 177193668 187119804 265790502 272929099 280679706 531581004 545858198 546347143 561359412 818787297 1091716396 1092694286 1637574594 1639041429 2185388572 2456361891 3275149188 3278082858 4912723782 4917124287 6556165716 9825447564 9834248574 10098376663 19668497148 20196753326 30295129989 40393506652 41212293949 60590259978 82424587898 90885389967 121180519956 123636881847 164849175796 181770779934 247273763694 363541559868 370910645541 494547527388 741821291082 1483642582164 1524854876113 3049709752226 4574564628339 6099419504452 9149129256678 13723693885017 18298258513356 27447387770034 54894775540068