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7016072644 = 22723121932
BaseRepresentation
bin1101000100011000…
…01100010111000100
3200002221222102022101
412202030030113010
5103332103311034
63120110441444
7335602430200
oct64214142704
920087872271
107016072644
112a80432249
121439803284
1387a742899
144a7b41b00
152b0e41514
hex1a230c5c4

7016072644 has 81 divisors (see below), whose sum is σ = 14835178701. Its totient is φ = 2894814720.

The previous prime is 7016072621. The next prime is 7016072647. The reversal of 7016072644 is 4462706107.

The square root of 7016072644 is 83762.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1699912900 + 5316159744 = 41230^2 + 72912^2 .

It is not an unprimeable number, because it can be changed into a prime (7016072647) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 36352612 + ... + 36352804.

Almost surely, 27016072644 is an apocalyptic number.

7016072644 is the 83762-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7016072644

7016072644 is an abundant number, since it is smaller than the sum of its proper divisors (7819106057).

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

7016072644 is a wasteful number, since it uses less digits than its factorization.

7016072644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 37.

The cubic root of 7016072644 is about 1914.3941523006.

The spelling of 7016072644 in words is "seven billion, sixteen million, seventy-two thousand, six hundred forty-four".

Divisors: 1 2 4 7 14 28 31 49 62 98 124 193 196 217 386 434 772 868 961 1351 1519 1922 2702 3038 3844 5404 5983 6076 6727 9457 11966 13454 18914 23932 26908 37249 37828 41881 47089 74498 83762 94178 148996 167524 185473 188356 260743 293167 370946 521486 586334 741892 1042972 1154719 1172668 1298311 1825201 2309438 2596622 3650402 4618876 5193244 7300804 8083033 9088177 16166066 18176354 32332132 35796289 36352708 56581231 71592578 113162462 143185156 226324924 250574023 501148046 1002296092 1754018161 3508036322 7016072644