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4106727534 = 2372138912073
BaseRepresentation
bin1111010011000111…
…1011000001101110
3101121012112101002210
43310301323001232
531402310240114
61515301231250
7203524415400
oct36461730156
911535471083
104106727534
1118181601a8
12967402526
13505a7c3c0
142ad5b6b70
15190808259
hexf4c7b06e

4106727534 has 96 divisors (see below), whose sum is σ = 10405856160. Its totient is φ = 1070834688.

The previous prime is 4106727529. The next prime is 4106727539. The reversal of 4106727534 is 4357276014.

It is an interprime number because it is at equal distance from previous prime (4106727529) and next prime (4106727539).

It is a super-2 number, since 2×41067275342 = 33730422077027442312, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 4106727492 and 4106727501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4106727539) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 334122 + ... + 346194.

It is an arithmetic number, because the mean of its divisors is an integer number (108394335).

Almost surely, 24106727534 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4106727534, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5202928080).

4106727534 is an abundant number, since it is smaller than the sum of its proper divisors (6299128626).

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

4106727534 is a wasteful number, since it uses less digits than its factorization.

4106727534 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12194 (or 12187 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 39.

The square root of 4106727534 is about 64083.7540567030. The cubic root of 4106727534 is about 1601.3955966627.

The spelling of 4106727534 in words is "four billion, one hundred six million, seven hundred twenty-seven thousand, five hundred thirty-four".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 49 78 89 91 98 147 178 182 267 273 294 534 546 623 637 1157 1246 1274 1869 1911 2314 3471 3738 3822 4361 6942 8099 8722 12073 13083 16198 24146 24297 26166 36219 48594 56693 72438 84511 113386 156949 169022 170079 253533 313898 340158 470847 507066 591577 941694 1074497 1098643 1183154 1774731 2148994 2197286 3223491 3295929 3549462 6446982 6591858 7521479 7690501 13968461 15042958 15381002 22564437 23071503 27936922 41905383 45128874 46143006 52650353 83810766 97779227 105300706 157951059 195558454 293337681 315902118 586675362 684454589 1368909178 2053363767 4106727534