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630332306064 = 24323723197449
BaseRepresentation
bin10010010110000101011…
…10111011001010010000
32020020222221102212002100
421023002232323022100
540311410032243224
61201323132520400
763353136125136
oct11130256731220
92206887385070
10630332306064
1122336017703a
12a21b5020100
1347594b21bc6
14227188b1756
15115e2c37ac9
hex92c2bbb290

630332306064 has 90 divisors (see below), whose sum is σ = 1813021296450. Its totient is φ = 204432035328.

The previous prime is 630332306033. The next prime is 630332306119. The reversal of 630332306064 is 460603233036.

630332306064 is a `hidden beast` number, since 6 + 303 + 3 + 230 + 60 + 64 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 326488817664 + 303843488400 = 571392^2 + 551220^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1401589 + ... + 1795860.

Almost surely, 2630332306064 is an apocalyptic number.

It is an amenable number.

630332306064 is an abundant number, since it is smaller than the sum of its proper divisors (1182688990386).

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

630332306064 is a wasteful number, since it uses less digits than its factorization.

630332306064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3197537 (or 3197491 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 36.

It can be divided in two parts, 630332 and 306064, that added together give a triangular number (936396 = T1368).

The spelling of 630332306064 in words is "six hundred thirty billion, three hundred thirty-two million, three hundred six thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 37 48 72 74 111 144 148 222 296 333 444 592 666 888 1332 1369 1776 2664 2738 4107 5328 5476 8214 10952 12321 16428 21904 24642 32856 49284 65712 98568 197136 3197449 6394898 9592347 12789796 19184694 25579592 28777041 38369388 51159184 57554082 76738776 115108164 118305613 153477552 230216328 236611226 354916839 460432656 473222452 709833678 946444904 1064750517 1419667356 1892889808 2129501034 2839334712 4259002068 4377307681 5678669424 8518004136 8754615362 13131923043 17036008272 17509230724 26263846086 35018461448 39395769129 52527692172 70036922896 78791538258 105055384344 157583076516 210110768688 315166153032 630332306064