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630917270016 = 2931198337987
BaseRepresentation
bin10010010111001011001…
…10011000101000000000
32020022111201011002202220
421023211212120220000
540314104310120031
61201501150411040
763403501211325
oct11134546305000
92208451132686
10630917270016
11223630395120
12a2338b00a80
1347659084917
1422772462b4c
1511629285596
hex92e5998a00

630917270016 has 160 divisors (see below), whose sum is σ = 1835516947968. Its totient is φ = 190987530240.

The previous prime is 630917269859. The next prime is 630917270069. The reversal of 630917270016 is 610072719036.

It is a self number, because there is not a number n which added to its sum of digits gives 630917270016.

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, 16589775 + ... + 16627761.

Almost surely, 2630917270016 is an apocalyptic number.

630917270016 is a gapful number since it is divisible by the number (66) 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 630917270016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (917758473984).

630917270016 is an abundant number, since it is smaller than the sum of its proper divisors (1204599677952).

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

630917270016 is a wasteful number, since it uses less digits than its factorization.

630917270016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39002 (or 38986 counting only the distinct ones).

The product of its (nonzero) digits is 95256, while the sum is 42.

The spelling of 630917270016 in words is "six hundred thirty billion, nine hundred seventeen million, two hundred seventy thousand, sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 512 528 704 768 983 1056 1408 1536 1966 2112 2816 2949 3932 4224 5632 5898 7864 8448 10813 11796 15728 16896 21626 23592 31456 32439 37987 43252 47184 62912 64878 75974 86504 94368 113961 125824 129756 151948 173008 188736 227922 251648 259512 303896 346016 377472 417857 455844 503296 519024 607792 692032 754944 835714 911688 1038048 1215584 1253571 1384064 1509888 1671428 1823376 2076096 2431168 2507142 2768128 3342856 3646752 4152192 4862336 5014284 5536256 6685712 7293504 8304384 9724672 10028568 13371424 14587008 16608768 19449344 20057136 26742848 29174016 37341221 40114272 53485696 58348032 74682442 80228544 106971392 112023663 149364884 160457088 213942784 224047326 298729768 320914176 410753431 448094652 597459536 641828352 821506862 896189304 1194919072 1232260293 1643013724 1792378608 2389838144 2464520586 3286027448 3584757216 4779676288 4929041172 6572054896 7169514432 9559352576 9858082344 13144109792 14339028864 19118705152 19716164688 26288219584 28678057728 39432329376 52576439168 57356115456 78864658752 105152878336 157729317504 210305756672 315458635008 630917270016