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4677011745 = 357439971039
BaseRepresentation
bin1000101101100010…
…11000100100100001
3110001221121210222020
410112301120210201
534034303333440
62052032332053
7223620641520
oct42661304441
913057553866
104677011745
111a9006216a
12aa63a4029
13596c72493
143252264b7
151c59063d0
hex116c58921

4677011745 has 64 divisors (see below), whose sum is σ = 8768348160. Its totient is φ = 2084237568.

The previous prime is 4677011723. The next prime is 4677011749. The reversal of 4677011745 is 5471107764.

It is not a de Polignac number, because 4677011745 - 26 = 4677011681 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 4677011697 and 4677011706.

It is not an unprimeable number, because it can be changed into a prime (4677011749) 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 63 ways as a sum of consecutive naturals, for example, 4500936 + ... + 4501974.

It is an arithmetic number, because the mean of its divisors is an integer number (137005440).

Almost surely, 24677011745 is an apocalyptic number.

It is an amenable number.

4677011745 is a deficient number, since it is larger than the sum of its proper divisors (4091336415).

4677011745 is a wasteful number, since it uses less digits than its factorization.

4677011745 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2094.

The product of its (nonzero) digits is 164640, while the sum is 42.

The square root of 4677011745 is about 68388.6814100111. The cubic root of 4677011745 is about 1672.3332326944. Note that the first 3 decimals are identical.

The spelling of 4677011745 in words is "four billion, six hundred seventy-seven million, eleven thousand, seven hundred forty-five".

Divisors: 1 3 5 7 15 21 35 43 105 129 215 301 645 903 997 1039 1505 2991 3117 4515 4985 5195 6979 7273 14955 15585 20937 21819 34895 36365 42871 44677 104685 109095 128613 134031 214355 223385 300097 312739 643065 670155 900291 938217 1035883 1500485 1563695 3107649 4501455 4691085 5179415 7251181 15538245 21753543 36255905 44542969 108767715 133628907 222714845 311800783 668144535 935402349 1559003915 4677011745