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17926999904 = 251125997809
BaseRepresentation
bin10000101100100010…
…000100111101100000
31201021100210221201102
4100230202010331200
5243203302444104
612122513453532
71203150661562
oct205442047540
951240727642
1017926999904
11766a362400
1235838712a8
1318c9081368
14c20c67332
156edc88a1e
hex42c884f60

17926999904 has 144 divisors (see below), whose sum is σ = 39907501200. Its totient is φ = 7918141440.

The previous prime is 17926999843. The next prime is 17926999931. The reversal of 17926999904 is 40999962971.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 22159052 + ... + 22159860.

It is an arithmetic number, because the mean of its divisors is an integer number (277135425).

Almost surely, 217926999904 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 17926999904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19953750600).

17926999904 is an abundant number, since it is smaller than the sum of its proper divisors (21980501296).

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

17926999904 is a wasteful number, since it uses less digits than its factorization.

17926999904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 997 (or 978 counting only the distinct ones).

The product of its (nonzero) digits is 19840464, while the sum is 65.

The spelling of 17926999904 in words is "seventeen billion, nine hundred twenty-six million, nine hundred ninety-nine thousand, nine hundred four".

Divisors: 1 2 4 8 11 16 22 32 44 59 88 97 118 121 176 194 236 242 352 388 472 484 649 776 809 944 968 1067 1298 1552 1618 1888 1936 2134 2596 3104 3236 3872 4268 5192 5723 6472 7139 8536 8899 10384 11446 11737 12944 14278 17072 17798 20768 22892 23474 25888 28556 34144 35596 45784 46948 47731 57112 62953 71192 78473 91568 93896 95462 97889 114224 125906 142384 156946 183136 187792 190924 195778 228448 251812 284768 313892 375584 381848 391556 503624 525041 627784 692483 763696 783112 863203 1007248 1050082 1255568 1384966 1527392 1566224 1726406 2014496 2100164 2511136 2769932 3132448 3452812 4200328 4629907 5539864 5775451 6905624 8400656 9259814 9495233 11079728 11550902 13811248 16801312 18519628 18990466 22159456 23101804 27622496 37039256 37980932 46203608 50928977 74078512 75961864 92407216 101857954 148157024 151923728 184814432 203715908 303847456 407431816 560218747 814863632 1120437494 1629727264 2240874988 4481749976 8963499952 17926999904