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471113780032 = 267173214043
BaseRepresentation
bin1101101101100001001…
…00011100101101000000
31200001000201200200211201
412312300210130231000
530204320111430112
61000232055150544
746015432025530
oct6666044345500
91601021620751
10471113780032
111718864a0935
127737b075454
133556c74c91c
1418b32aa34c0
15c3c4bb3257
hex6db091cb40

471113780032 has 112 divisors (see below), whose sum is σ = 1135186634880. Its totient is φ = 190028199936.

The previous prime is 471113780023. The next prime is 471113780077. The reversal of 471113780032 is 230087311174.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 471113779973 and 471113780000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2094003 + ... + 2308045.

Almost surely, 2471113780032 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 471113780032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (567593317440).

471113780032 is an abundant number, since it is smaller than the sum of its proper divisors (664072854848).

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

471113780032 is an equidigital number, since it uses as much as digits as its factorization.

471113780032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214113 (or 214069 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 37.

The spelling of 471113780032 in words is "four hundred seventy-one billion, one hundred thirteen million, seven hundred eighty thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 64 68 112 119 136 224 238 272 289 448 476 544 578 952 1088 1156 1904 2023 2312 3808 4046 4624 4913 7616 8092 9248 9826 16184 18496 19652 32368 34391 39304 64736 68782 78608 129472 137564 157216 214043 275128 314432 428086 550256 856172 1100512 1498301 1712344 2201024 2996602 3424688 3638731 5993204 6849376 7277462 11986408 13698752 14554924 23972816 25471117 29109848 47945632 50942234 58219696 61858427 95891264 101884468 116439392 123716854 203768936 232878784 247433708 407537872 433008989 494867416 815075744 866017978 989734832 1051593259 1630151488 1732035956 1979469664 2103186518 3464071912 3958939328 4206373036 6928143824 7361152813 8412746072 13856287648 14722305626 16825492144 27712575296 29444611252 33650984288 58889222504 67301968576 117778445008 235556890016 471113780032