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3625015050 = 2325223714933
BaseRepresentation
bin1101100000010001…
…0101011100001010
3100100122002211210200
43120010111130022
524411000440200
61355412353030
7155555055666
oct33004253412
910318084720
103625015050
1115a0254508
12852015776
1345a02b127
142656218a6
151633a3800
hexd811570a

3625015050 has 144 divisors (see below), whose sum is σ = 10307875968. Its totient is φ = 911433600.

The previous prime is 3625015049. The next prime is 3625015057. The reversal of 3625015050 is 505105263.

3625015050 is a `hidden beast` number, since 3 + 62 + 501 + 50 + 50 = 666.

It is a super-2 number, since 2×36250150502 = 26281468225453005000, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (3625015057) 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 71 ways as a sum of consecutive naturals, for example, 732384 + ... + 737316.

It is an arithmetic number, because the mean of its divisors is an integer number (71582472).

Almost surely, 23625015050 is an apocalyptic number.

3625015050 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3625015050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5153937984).

3625015050 is an abundant number, since it is smaller than the sum of its proper divisors (6682860918).

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

3625015050 is a wasteful number, since it uses less digits than its factorization.

3625015050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5045 (or 5037 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The square root of 3625015050 is about 60208.0978772789. The cubic root of 3625015050 is about 1536.1605387420.

The spelling of 3625015050 in words is "three billion, six hundred twenty-five million, fifteen thousand, fifty".

Divisors: 1 2 3 5 6 9 10 15 18 23 25 30 45 46 50 69 71 75 90 115 138 142 150 207 213 225 230 345 355 414 426 450 575 639 690 710 1035 1065 1150 1278 1633 1725 1775 2070 2130 3195 3266 3450 3550 4899 4933 5175 5325 6390 8165 9798 9866 10350 10650 14697 14799 15975 16330 24495 24665 29394 29598 31950 40825 44397 48990 49330 73485 73995 81650 88794 113459 122475 123325 146970 147990 221985 226918 244950 246650 340377 350243 367425 369975 443970 567295 680754 700486 734850 739950 1021131 1050729 1109925 1134590 1701885 1751215 2042262 2101458 2219850 2836475 3152187 3403770 3502430 5105655 5253645 5672950 6304374 8055589 8509425 8756075 10211310 10507290 15760935 16111178 17018850 17512150 24166767 25528275 26268225 31521870 40277945 48333534 51056550 52536450 72500301 78804675 80555890 120833835 145000602 157609350 201389725 241667670 362501505 402779450 604169175 725003010 1208338350 1812507525 3625015050