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630629103041968 = 241716715978693281
BaseRepresentation
bin1000111101100011011100011…
…1101010111111110110110000
310001200212112221110221200221211
42033120313013222333312300
51130124211400334320333
610113123002133125504
7246555310026404302
oct21730670752776660
93050775843850854
10630629103041968
11172a35334222798
125a89018a789894
13210b60b919b564
14b1a287bb3d972
154cd919bd12ecd
hex23d8dc7abfdb0

630629103041968 has 80 divisors (see below), whose sum is σ = 1302278958437184. Its totient is φ = 294804842250240.

The previous prime is 630629103041963. The next prime is 630629103041969. The reversal of 630629103041968 is 869140301926036.

It is not an unprimeable number, because it can be changed into a prime (630629103041963) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68195488 + ... + 76888768.

Almost surely, 2630629103041968 is an apocalyptic number.

630629103041968 is a gapful number since it is divisible by the number (68) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 630629103041968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (651139479218592).

630629103041968 is an abundant number, since it is smaller than the sum of its proper divisors (671649855395216).

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

630629103041968 is a wasteful number, since it uses less digits than its factorization.

630629103041968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8695070 (or 8695064 counting only the distinct ones).

The product of its (nonzero) digits is 10077696, while the sum is 58.

The spelling of 630629103041968 in words is "six hundred thirty trillion, six hundred twenty-nine billion, one hundred three million, forty-one thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 16 17 34 68 136 167 272 334 668 1336 1597 2672 2839 3194 5678 6388 11356 12776 22712 25552 27149 45424 54298 108596 217192 266699 434384 533398 1066796 2133592 4267184 4533883 8693281 9067766 17386562 18135532 34773124 36271064 69546248 72542128 139092496 147785777 295571554 591143108 1182286216 1451777927 2364572432 2903555854 5807111708 11614223416 13883169757 23228446832 24680224759 27766339514 49360449518 55532679028 98720899036 111065358056 197441798072 222130716112 236013885869 394883596144 472027771738 944055543476 1888111086952 2318489349419 3776222173904 4636978698838 9273957397676 18547914795352 37095829590704 39414318940123 78828637880246 157657275760492 315314551520984 630629103041968