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3629671745 = 571923307773
BaseRepresentation
bin1101100001011000…
…0110010101000001
3100100221212102120212
43120112012111001
524413143443440
61400100243505
7155642462240
oct33026062501
910327772525
103629671745
1115a2945117
128536a0595
1345ac9b87b
142660b4957
151639c3465
hexd8586541

3629671745 has 64 divisors (see below), whose sum is σ = 5492551680. Its totient is φ = 2245148928.

The previous prime is 3629671733. The next prime is 3629671807. The reversal of 3629671745 is 5471769263.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-3629671745 is a prime.

Its product of digits (1905120) is a multiple of the sum of its prime divisors (1134).

It is a junction number, because it is equal to n+sod(n) for n = 3629671693 and 3629671702.

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 63 ways as a sum of consecutive naturals, for example, 4695179 + ... + 4695951.

It is an arithmetic number, because the mean of its divisors is an integer number (85821120).

Almost surely, 23629671745 is an apocalyptic number.

3629671745 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3629671745 is a deficient number, since it is larger than the sum of its proper divisors (1862879935).

3629671745 is a wasteful number, since it uses less digits than its factorization.

3629671745 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1134.

The product of its digits is 1905120, while the sum is 50.

The square root of 3629671745 is about 60246.7571326457. The cubic root of 3629671745 is about 1536.8180413165.

The spelling of 3629671745 in words is "three billion, six hundred twenty-nine million, six hundred seventy-one thousand, seven hundred forty-five".

Divisors: 1 5 7 19 23 35 95 115 133 161 307 437 665 773 805 1535 2149 2185 3059 3865 5411 5833 7061 10745 14687 15295 17779 27055 29165 35305 40831 49427 73435 88895 102809 124453 134159 204155 237311 247135 337801 514045 622265 670795 939113 1186555 1661177 1689005 2364607 4508909 4695565 5458153 8305885 11823035 22544545 27290765 31562363 38207071 103704907 157811815 191035355 518524535 725934349 3629671745