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632630064 = 2431110111863
BaseRepresentation
bin100101101101010…
…010101100110000
31122002101221022010
4211231102230300
52243423130224
6142435242520
721451160343
oct4555225460
91562357263
10632630064
112a5115370
12157a49440
13a10b1a21
146003c45a
153a815e29
hex25b52b30

632630064 has 80 divisors (see below), whose sum is σ = 1800670464. Its totient is φ = 189792000.

The previous prime is 632630057. The next prime is 632630077. The reversal of 632630064 is 460036236.

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, 47397 + ... + 59259.

Almost surely, 2632630064 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 632630064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (900335232).

632630064 is an abundant number, since it is smaller than the sum of its proper divisors (1168040400).

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

632630064 is a wasteful number, since it uses less digits than its factorization.

632630064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11986 (or 11980 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 30.

The square root of 632630064 is about 25152.1383583981. The cubic root of 632630064 is about 858.4531704445.

The spelling of 632630064 in words is "six hundred thirty-two million, six hundred thirty thousand, sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 101 132 176 202 264 303 404 528 606 808 1111 1212 1616 2222 2424 3333 4444 4848 6666 8888 11863 13332 17776 23726 26664 35589 47452 53328 71178 94904 130493 142356 189808 260986 284712 391479 521972 569424 782958 1043944 1198163 1565916 2087888 2396326 3131832 3594489 4792652 6263664 7188978 9585304 13179793 14377956 19170608 26359586 28755912 39539379 52719172 57511824 79078758 105438344 158157516 210876688 316315032 632630064