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54786290097 = 37211279127307
BaseRepresentation
bin110011000001100001…
…000111000110110001
312020102011001220022110
4303001201013012301
51344200242240342
641100220155533
73646440532200
oct630141070661
9166364056273
1054786290097
1121264483700
12a74b998ba9
135221553c46
14291a281237
151659b84c9c
hexcc18471b1

54786290097 has 144 divisors (see below), whose sum is σ = 95639470080. Its totient is φ = 27788080320.

The previous prime is 54786290011. The next prime is 54786290101. The reversal of 54786290097 is 79009268745.

It is not a de Polignac number, because 54786290097 - 211 = 54786288049 is a prime.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (54786290197) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 178456818 + ... + 178457124.

Almost surely, 254786290097 is an apocalyptic number.

It is an amenable number.

54786290097 is a deficient number, since it is larger than the sum of its proper divisors (40853179983).

54786290097 is a wasteful number, since it uses less digits than its factorization.

54786290097 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552 (or 534 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 57.

The spelling of 54786290097 in words is "fifty-four billion, seven hundred eighty-six million, two hundred ninety thousand, ninety-seven".

Divisors: 1 3 7 11 21 33 49 77 79 121 127 147 231 237 307 363 381 539 553 847 869 889 921 1397 1617 1659 2149 2541 2607 2667 3377 3871 4191 5929 6083 6223 6447 9559 9779 10033 10131 11613 15043 15367 17787 18249 18669 23639 24253 28677 29337 30099 37147 38989 42581 45129 46101 66913 68453 70231 70917 72759 107569 110363 111441 116967 127743 165473 169771 200739 205359 210693 260029 266783 272923 322707 331089 428879 468391 491617 496419 509313 752983 772541 780087 800349 818769 1188397 1213993 1286637 1405173 1474851 1820203 1867481 1910461 2258949 2317623 2934613 3002153 3080131 3565191 3641979 4717669 5407787 5460609 5602443 5731383 8497951 8803839 9006459 9240393 13072367 14153007 16223361 20542291 21015071 21560917 25493853 33023683 33881441 39217101 59485657 61626873 63045213 64682751 99071049 101644323 143796037 150926419 178456971 231165781 237170087 372695851 431388111 452779257 693497343 711510261 1118087553 1660190609 2608870957 4980571827 7826612871 18262096699 54786290097