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3687673352 = 2311233135821
BaseRepresentation
bin1101101111001101…
…0110111000001000
3100112000000012211112
43123303112320020
530023021021402
61405531345452
7160245464156
oct33363267010
910460005745
103687673352
111622660630
1286abb2288
13469cc904c
1426da923d6
15168b2de52
hexdbcd6e08

3687673352 has 64 divisors (see below), whose sum is σ = 7897426560. Its totient is φ = 1597939200.

The previous prime is 3687673343. The next prime is 3687673361. The reversal of 3687673352 is 2533767863.

It is an interprime number because it is at equal distance from previous prime (3687673343) and next prime (3687673361).

It is a self number, because there is not a number n which added to its sum of digits gives 3687673352.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 630602 + ... + 636422.

It is an arithmetic number, because the mean of its divisors is an integer number (123397290).

Almost surely, 23687673352 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 3687673352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3948713280).

3687673352 is an abundant number, since it is smaller than the sum of its proper divisors (4209753208).

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

3687673352 is a wasteful number, since it uses less digits than its factorization.

3687673352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6174 (or 6170 counting only the distinct ones).

The product of its digits is 3810240, while the sum is 50.

The square root of 3687673352 is about 60726.2163484602. The cubic root of 3687673352 is about 1544.9608606110.

The spelling of 3687673352 in words is "three billion, six hundred eighty-seven million, six hundred seventy-three thousand, three hundred fifty-two".

Divisors: 1 2 4 8 11 22 23 44 46 88 92 184 253 313 506 626 1012 1252 2024 2504 3443 5821 6886 7199 11642 13772 14398 23284 27544 28796 46568 57592 64031 79189 128062 133883 158378 256124 267766 316756 512248 535532 633512 1071064 1472713 1821973 2945426 3643946 5890852 7287892 11781704 14575784 20041703 40083406 41905379 80166812 83810758 160333624 167621516 335243032 460959169 921918338 1843836676 3687673352