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17992127472 = 243116727591
BaseRepresentation
bin10000110000011010…
…100001001111110000
31201102220100202221120
4100300122201033300
5243321441034342
612133201422240
71204601363064
oct206032411760
951386322846
1017992127472
1176a30a5740
1235a163a980
131909705197
14c2977baa4
15704850aec
hex4306a13f0

17992127472 has 120 divisors (see below), whose sum is σ = 51479955072. Its totient is φ = 5370076800.

The previous prime is 17992127437. The next prime is 17992127477. The reversal of 17992127472 is 27472129971.

It is a super-2 number, since 2×179921274722 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (17992127477) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2366397 + ... + 2373987.

Almost surely, 217992127472 is an apocalyptic number.

17992127472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 17992127472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25739977536).

17992127472 is an abundant number, since it is smaller than the sum of its proper divisors (33487827600).

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

17992127472 is a wasteful number, since it uses less digits than its factorization.

17992127472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7747 (or 7674 counting only the distinct ones).

The product of its digits is 889056, while the sum is 51.

The spelling of 17992127472 in words is "seventeen billion, nine hundred ninety-two million, one hundred twenty-seven thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 67 88 132 134 176 201 264 268 402 528 536 737 804 1072 1474 1608 2211 2948 3216 4422 4489 5896 7591 8844 8978 11792 13467 15182 17688 17956 22773 26934 30364 35376 35912 45546 49379 53868 60728 71824 83501 91092 98758 107736 121456 148137 167002 182184 197516 215472 250503 296274 334004 364368 395032 501006 508597 592548 668008 790064 1002012 1017194 1185096 1336016 1525791 2004024 2034388 2370192 3051582 4008048 4068776 5594567 6103164 8137552 11189134 12206328 16783701 22378268 24412656 33567402 34075999 44756536 67134804 68151998 89513072 102227997 134269608 136303996 204455994 268539216 272607992 374835989 408911988 545215984 749671978 817823976 1124507967 1499343956 1635647952 2249015934 2998687912 4498031868 5997375824 8996063736 17992127472