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74170274321 = 111317414771223
BaseRepresentation
bin100010100010011100…
…1001001001000010001
321002110001110022210002
41011010321021020101
52203400042234241
654023502215345
75234002633553
oct1050471111021
9232401408702
1074170274321
1129501205980
121245b584555
136cc04161b0
1438388114d3
151de17bc89b
hex1144e49211

74170274321 has 128 divisors (see below), whose sum is σ = 98322481152. Its totient is φ = 54899712000.

The previous prime is 74170274309. The next prime is 74170274411. The reversal of 74170274321 is 12347207147.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-74170274321 is a prime.

It is a super-2 number, since 2×741702743212 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (74170274621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 332602016 + ... + 332602238.

It is an arithmetic number, because the mean of its divisors is an integer number (768144384).

Almost surely, 274170274321 is an apocalyptic number.

74170274321 is a gapful number since it is divisible by the number (71) formed by its first and last digit.

It is an amenable number.

74170274321 is a deficient number, since it is larger than the sum of its proper divisors (24152206831).

74170274321 is a wasteful number, since it uses less digits than its factorization.

74170274321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423.

The product of its (nonzero) digits is 65856, while the sum is 38.

The spelling of 74170274321 in words is "seventy-four billion, one hundred seventy million, two hundred seventy-four thousand, three hundred twenty-one".

Divisors: 1 11 13 17 41 47 71 143 187 221 223 451 517 533 611 697 781 799 923 1207 1927 2431 2453 2899 2911 3337 3791 5863 6721 7667 8789 9061 9143 10153 10387 10481 13277 15691 15833 21197 25051 31889 32021 32759 36707 37843 41701 43381 49283 49487 56729 99671 100573 114257 115291 118859 136253 136817 155431 172601 174163 178177 205829 269161 275561 360349 416273 425867 429721 477191 542113 544357 624019 643331 649153 737477 744151 1307449 1498783 1504987 1709741 1778621 1959947 2020603 2264119 2316301 2325889 2960771 3499093 4684537 4726931 5586373 7076641 7140683 7305257 8112247 8185661 8438989 9673963 11035601 12650567 19564831 22226633 25479311 25584779 30236557 30510191 38490023 61450103 80357827 92828879 94968341 106413593 121391611 139156237 143462813 164457371 332602127 335612101 396632483 518673247 1044651751 1578090943 1809031081 4362957313 5705405717 6742752211 74170274321