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3630506496 = 2934095779
BaseRepresentation
bin1101100001100101…
…0010001000000000
3100101000102211122120
43120121102020000
524413402201441
61400130204240
7155652540021
oct33031221000
910330384576
103630506496
1115a33652a1
12853a23680
1345b2017c6
14266250c48
15163ada966
hexd8652200

3630506496 has 80 divisors (see below), whose sum is σ = 9697221600. Its totient is φ = 1207001088.

The previous prime is 3630506483. The next prime is 3630506497. The reversal of 3630506496 is 6946050363.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (3630506497) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 625335 + ... + 631113.

It is an arithmetic number, because the mean of its divisors is an integer number (121215270).

Almost surely, 23630506496 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 3630506496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4848610800).

3630506496 is an abundant number, since it is smaller than the sum of its proper divisors (6066715104).

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

3630506496 is an equidigital number, since it uses as much as digits as its factorization.

3630506496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6209 (or 6193 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 42.

The square root of 3630506496 is about 60253.6845014477. The cubic root of 3630506496 is about 1536.9358446291.

The spelling of 3630506496 in words is "three billion, six hundred thirty million, five hundred six thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 409 512 768 818 1227 1536 1636 2454 3272 4908 5779 6544 9816 11558 13088 17337 19632 23116 26176 34674 39264 46232 52352 69348 78528 92464 104704 138696 157056 184928 209408 277392 314112 369856 554784 628224 739712 1109568 1479424 2219136 2363611 2958848 4438272 4727222 7090833 8876544 9454444 14181666 18908888 28363332 37817776 56726664 75635552 113453328 151271104 226906656 302542208 453813312 605084416 907626624 1210168832 1815253248 3630506496