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630421708081 = 1121922921312
BaseRepresentation
bin10010010110010000000…
…11111101110100110001
32020021020011122221121011
421023020003331310301
540312100424124311
61201340045030521
763355303050334
oct11131003756461
92207204587534
10630421708081
112233a668a100
12a221ab55441
13475aa4c48c9
142272670461b
15115ea9e7321
hex92c80fdd31

630421708081 has 81 divisors (see below), whose sum is σ = 763247012619. Its totient is φ = 520222903200.

The previous prime is 630421708073. The next prime is 630421708093. The reversal of 630421708081 is 180807124036.

The square root of 630421708081 is 793991.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 330577851681 + 299843856400 = 574959^2 + 547580^2 .

It is not a de Polignac number, because 630421708081 - 23 = 630421708073 is a prime.

It is a super-2 number, since 2×6304217080812 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (630421702081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 4812379386 + ... + 4812379516.

Almost surely, 2630421708081 is an apocalyptic number.

630421708081 is the 793991-st square number.

630421708081 is the 396996-th centered octagonal number.

It is an amenable number.

630421708081 is a deficient number, since it is larger than the sum of its proper divisors (132825304538).

630421708081 is a wasteful number, since it uses less digits than its factorization.

630421708081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 40.

The spelling of 630421708081 in words is "six hundred thirty billion, four hundred twenty-one million, seven hundred eight thousand, eighty-one".

Divisors: 1 11 19 29 121 131 209 319 361 551 841 1441 2299 2489 3509 3799 3971 6061 9251 10469 15851 15979 17161 27379 41789 43681 47291 66671 72181 101761 110171 115159 175769 188771 301169 303601 326059 459679 497669 520201 793991 1211881 1266749 1371439 1933459 2076481 2093249 3339611 3586649 5474359 5722211 6195121 8733901 9455711 13330691 14432401 15085829 23025739 36735721 39453139 39771731 60217949 68146331 104012821 158756411 165944119 179658509 253283129 274215619 437489041 749609641 1144141031 1746320521 1976243599 3016371809 4812379451 5210096761 21738679589 33180089899 57311064371 630421708081