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2757404106 = 23561281331
BaseRepresentation
bin1010010001011010…
…1010010111001010
321010011112122100000
42210112222113022
521121343412411
61133340423430
7125221356012
oct24426522712
97104478300
102757404106
111195534576
1264b547b76
1334c364c82
141c22d6c42
15112123956
hexa45aa5ca

2757404106 has 96 divisors (see below), whose sum is σ = 6338719296. Its totient is φ = 898128000.

The previous prime is 2757404101. The next prime is 2757404113. The reversal of 2757404106 is 6014047572.

It is not an unprimeable number, because it can be changed into a prime (2757404101) 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, 8330361 + ... + 8330691.

It is an arithmetic number, because the mean of its divisors is an integer number (66028326).

Almost surely, 22757404106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2757404106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3169359648).

2757404106 is an abundant number, since it is smaller than the sum of its proper divisors (3581315190).

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

2757404106 is a wasteful number, since it uses less digits than its factorization.

2757404106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 690 (or 678 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 2757404106 is about 52510.9903353574. The cubic root of 2757404106 is about 1402.2759080324.

The spelling of 2757404106 in words is "two billion, seven hundred fifty-seven million, four hundred four thousand, one hundred six".

Divisors: 1 2 3 6 9 18 27 54 61 81 122 162 183 243 281 331 366 486 549 562 662 843 993 1098 1647 1686 1986 2529 2979 3294 4941 5058 5958 7587 8937 9882 14823 15174 17141 17874 20191 22761 26811 29646 34282 40382 45522 51423 53622 60573 68283 80433 93011 102846 121146 136566 154269 160866 181719 186022 279033 308538 363438 462807 545157 558066 837099 925614 1090314 1388421 1635471 1674198 2511297 2776842 3270942 4165263 4906413 5022594 5673671 7533891 8330526 9812826 11347342 15067782 17021013 22601673 34042026 45203346 51063039 102126078 153189117 306378234 459567351 919134702 1378702053 2757404106