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20476542072 = 23373715592113
BaseRepresentation
bin10011000100011111…
…110011110001111000
31221212001020010002010
4103010133303301320
5313413443321242
613223511205520
71323266510250
oct230437636170
957761203063
1020476542072
118758524148
123b756768a0
131c143386ac
14dc36d2960
157ec9ed89c
hex4c47f3c78

20476542072 has 128 divisors (see below), whose sum is σ = 60152601600. Its totient is φ = 5685977088.

The previous prime is 20476542067. The next prime is 20476542083. The reversal of 20476542072 is 27024567402.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 20476542072.

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, 9689688 + ... + 9691800.

It is an arithmetic number, because the mean of its divisors is an integer number (469942200).

Almost surely, 220476542072 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 20476542072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30076300800).

20476542072 is an abundant number, since it is smaller than the sum of its proper divisors (39676059528).

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

20476542072 is a wasteful number, since it uses less digits than its factorization.

20476542072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3725 (or 3721 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 39.

The spelling of 20476542072 in words is "twenty billion, four hundred seventy-six million, five hundred forty-two thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 37 42 56 74 84 111 148 168 222 259 296 444 518 777 888 1036 1554 1559 2072 2113 3108 3118 4226 4677 6216 6236 6339 8452 9354 10913 12472 12678 14791 16904 18708 21826 25356 29582 32739 37416 43652 44373 50712 57683 59164 65478 78181 87304 88746 115366 118328 130956 156362 173049 177492 230732 234543 261912 312724 346098 354984 403781 461464 469086 547267 625448 692196 807562 938172 1094534 1211343 1384392 1615124 1641801 1876344 2189068 2422686 3230248 3283602 3294167 4378136 4845372 6567204 6588334 9690744 9882501 13134408 13176668 19765002 23059169 26353336 39530004 46118338 69177507 79060008 92236676 121884179 138355014 184473352 243768358 276710028 365652537 487536716 553420056 731305074 853189253 975073432 1462610148 1706378506 2559567759 2925220296 3412757012 5119135518 6825514024 10238271036 20476542072