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63307438002 = 23347179331421
BaseRepresentation
bin111010111101011010…
…101101011110110010
320001102000010001202000
4322331122231132302
52014123201004002
645025534034430
74400550226044
oct727532553662
9201360101660
1063307438002
11249374421a6
1210329648a16
135c7ba44bb3
1430c7c47a94
1519a7cc461c
hexebd6ad7b2

63307438002 has 128 divisors (see below), whose sum is σ = 145259827200. Its totient is φ = 20427422400.

The previous prime is 63307438001. The next prime is 63307438009. The reversal of 63307438002 is 20083470336.

It is not an unprimeable number, because it can be changed into a prime (63307438001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 150373752 + ... + 150374172.

It is an arithmetic number, because the mean of its divisors is an integer number (1134842400).

Almost surely, 263307438002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63307438002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72629913600).

63307438002 is an abundant number, since it is smaller than the sum of its proper divisors (81952389198).

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

63307438002 is a wasteful number, since it uses less digits than its factorization.

63307438002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 989 (or 983 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The spelling of 63307438002 in words is "sixty-three billion, three hundred seven million, four hundred thirty-eight thousand, two".

Divisors: 1 2 3 6 9 18 27 47 54 94 141 179 282 331 358 421 423 537 662 842 846 993 1074 1263 1269 1611 1986 2526 2538 2979 3222 3789 4833 5958 7578 8413 8937 9666 11367 15557 16826 17874 19787 22734 25239 31114 39574 46671 50478 59249 59361 75359 75717 93342 118498 118722 139351 140013 150718 151434 177747 178083 226077 227151 278702 280026 355494 356166 418053 420039 452154 454302 533241 534249 678231 836106 840078 1066482 1068498 1254159 1356462 1599723 2034693 2508318 2784703 3199446 3541873 3762477 4069386 5569406 6549497 7083746 7524954 8354109 10625619 13098994 16708218 19648491 21251238 24943829 25062327 31876857 39296982 49887658 50124654 58945473 63753714 74831487 75186981 95630571 117890946 149662974 150373962 176836419 191261142 224494461 353672838 448988922 673483383 1172359963 1346966766 2344719926 3517079889 7034159778 10551239667 21102479334 31653719001 63307438002