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471010010020 = 2251123926933301
BaseRepresentation
bin1101101101010100110…
…00100110001110100100
31200000202111102122010221
412312222120212032210
530204112030310040
61000213511054124
746013032012204
oct6665230461644
91600674378127
10471010010020
111718329649a0
1277350371344
13355540b9154
1418b22db0404
15c3baa1674a
hex6daa6263a4

471010010020 has 96 divisors (see below), whose sum is σ = 1087616678400. Its totient is φ = 169920576000.

The previous prime is 471010010017. The next prime is 471010010071. The reversal of 471010010020 is 20010010174.

It is a junction number, because it is equal to n+sod(n) for n = 471010009976 and 471010010003.

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, 14127370 + ... + 14160670.

It is an arithmetic number, because the mean of its divisors is an integer number (11329340400).

Almost surely, 2471010010020 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 471010010020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543808339200).

471010010020 is an abundant number, since it is smaller than the sum of its proper divisors (616606668380).

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

471010010020 is a wasteful number, since it uses less digits than its factorization.

471010010020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33829 (or 33827 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 16.

Adding to 471010010020 its reverse (20010010174), we get a palindrome (491020020194).

The spelling of 471010010020 in words is "four hundred seventy-one billion, ten million, ten thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 239 269 478 538 956 1076 1195 1345 2390 2629 2690 2959 4780 5258 5380 5918 10516 11836 13145 14795 26290 29590 33301 52580 59180 64291 66602 128582 133204 166505 257164 321455 333010 366311 642910 666020 707201 732622 1285820 1414402 1465244 1831555 2828804 3536005 3663110 7072010 7326220 7958939 8957969 14144020 15917878 17915938 31835756 35831876 39794695 44789845 79589390 87548329 89579690 98537659 159178780 175096658 179159380 197075318 350193316 394150636 437741645 492688295 875483290 985376590 1750966580 1970753180 2140954591 4281909182 8563818364 10704772955 21409545910 23550500501 42819091820 47101001002 94202002004 117752502505 235505005010 471010010020