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74011721016 = 233177318113729
BaseRepresentation
bin100010011101101110…
…0010011110100111000
321002001000002222112110
41010323130103310320
52203034000033031
654000040012320
75230036151202
oct1047334236470
9232030088473
1074011721016
112942a761492
12124164610a0
136c9661107c
14382173b772
151dd28edc46
hex113b713d38

74011721016 has 128 divisors (see below), whose sum is σ = 199708891200. Its totient is φ = 22773104640.

The previous prime is 74011720997. The next prime is 74011721027. The reversal of 74011721016 is 61012711047.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5384040 + ... + 5397768.

Almost surely, 274011721016 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 74011721016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99854445600).

74011721016 is an abundant number, since it is smaller than the sum of its proper divisors (125697170184).

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

74011721016 is a wasteful number, since it uses less digits than its factorization.

74011721016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14009 (or 14005 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 30.

The spelling of 74011721016 in words is "seventy-four billion, eleven million, seven hundred twenty-one thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 73 102 136 146 181 204 219 292 362 408 438 543 584 724 876 1086 1241 1448 1752 2172 2482 3077 3723 4344 4964 6154 7446 9231 9928 12308 13213 13729 14892 18462 24616 26426 27458 29784 36924 39639 41187 52852 54916 73848 79278 82374 105704 109832 158556 164748 224621 233393 317112 329496 449242 466786 673863 700179 898484 933572 1002217 1347726 1400358 1796968 1867144 2004434 2484949 2695452 2800716 3006651 4008868 4969898 5390904 5601432 6013302 7454847 8017736 9939796 12026604 14909694 17037689 19879592 24053208 29819388 34075378 42244133 51113067 59638776 68150756 84488266 102226134 126732399 136301512 168976532 181401277 204452268 253464798 337953064 362802554 408904536 506929596 544203831 725605108 1013859192 1088407662 1451210216 2176815324 3083821709 4353630648 6167643418 9251465127 12335286836 18502930254 24670573672 37005860508 74011721016