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3630382672 = 247436711251
BaseRepresentation
bin1101100001100011…
…0011111001010000
3100101000012112210111
43120120303321100
524413334221142
61400123411104
7155651513020
oct33030637120
910330175714
103630382672
1115a3290264
12853983a94
1345b18a337
1426621ba80
15163ab3e17
hexd8633e50

3630382672 has 80 divisors (see below), whose sum is σ = 8349164032. Its totient is φ = 1496880000.

The previous prime is 3630382663. The next prime is 3630382681. The reversal of 3630382672 is 2762830363.

It is an interprime number because it is at equal distance from previous prime (3630382663) and next prime (3630382681).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 317047 + ... + 328297.

Almost surely, 23630382672 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 3630382672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4174582016).

3630382672 is an abundant number, since it is smaller than the sum of its proper divisors (4718781360).

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

3630382672 is a wasteful number, since it uses less digits than its factorization.

3630382672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11376 (or 11370 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 40.

The square root of 3630382672 is about 60252.6569704606. The cubic root of 3630382672 is about 1536.9183712446.

The spelling of 3630382672 in words is "three billion, six hundred thirty million, three hundred eighty-two thousand, six hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 43 56 67 86 112 134 172 268 301 344 469 536 602 688 938 1072 1204 1876 2408 2881 3752 4816 5762 7504 11251 11524 20167 22502 23048 40334 45004 46096 78757 80668 90008 157514 161336 180016 315028 322672 483793 630056 753817 967586 1260112 1507634 1935172 3015268 3386551 3870344 5276719 6030536 6773102 7740688 10553438 12061072 13546204 21106876 27092408 32414131 42213752 54184816 64828262 84427504 129656524 226898917 259313048 453797834 518626096 907595668 1815191336 3630382672