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7146057864 = 2331123251169
BaseRepresentation
bin1101010011111000…
…00011000010001000
3200110000120100111210
412221330003002020
5104113342322424
63141032453120
7342041326641
oct65174030210
920400510453
107146057864
113037844050
12147524a1a0
1389b65470a
144bb0da6c8
152bc56a729
hex1a9f03088

7146057864 has 96 divisors (see below), whose sum is σ = 20373847200. Its totient is φ = 2071280640.

The previous prime is 7146057859. The next prime is 7146057901. The reversal of 7146057864 is 4687506417.

It is a super-2 number, since 2×71460578642 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 114072 + ... + 165240.

It is an arithmetic number, because the mean of its divisors is an integer number (212227575).

Almost surely, 27146057864 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 7146057864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10186923600).

7146057864 is an abundant number, since it is smaller than the sum of its proper divisors (13227789336).

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

7146057864 is a wasteful number, since it uses less digits than its factorization.

7146057864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51235 (or 51208 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 48.

The square root of 7146057864 is about 84534.3590736926. The cubic root of 7146057864 is about 1926.1444020229.

The spelling of 7146057864 in words is "seven billion, one hundred forty-six million, fifty-seven thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 22 23 24 33 44 46 66 69 88 92 132 138 184 253 264 276 506 529 552 759 1012 1058 1518 1587 2024 2116 3036 3174 4232 5819 6072 6348 11638 12696 17457 23276 34914 46552 51169 69828 102338 139656 153507 204676 307014 409352 562859 614028 1125718 1176887 1228056 1688577 2251436 2353774 3377154 3530661 4502872 4707548 6754308 7061322 9415096 12945757 13508616 14122644 25891514 27068401 28245288 38837271 51783028 54136802 77674542 81205203 103566056 108273604 155349084 162410406 216547208 297752411 310698168 324820812 595504822 649641624 893257233 1191009644 1786514466 2382019288 3573028932 7146057864