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63432057096 = 233614972997
BaseRepresentation
bin111011000100110110…
…000110000100001000
320001201200121101000000
4323010312012010020
52014402101311341
645050145043000
74403622406032
oct730466060410
9201650541000
1063432057096
11249a0819391
1210363326460
135c9b7c83c5
1430da606c52
1519b3bdd8b6
hexec4d86108

63432057096 has 112 divisors (see below), whose sum is σ = 179520331500. Its totient is φ = 21001825152.

The previous prime is 63432057089. The next prime is 63432057103. The reversal of 63432057096 is 69075023436.

63432057096 is a `hidden beast` number, since 63 + 432 + 0 + 5 + 70 + 96 = 666.

It is an interprime number because it is at equal distance from previous prime (63432057089) and next prime (63432057103).

It can be written as a sum of positive squares in 2 ways, for example, as 57510754596 + 5921302500 = 239814^2 + 76950^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 832470 + ... + 905466.

Almost surely, 263432057096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63432057096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89760165750).

63432057096 is an abundant number, since it is smaller than the sum of its proper divisors (116088274404).

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

63432057096 is a wasteful number, since it uses less digits than its factorization.

63432057096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73170 (or 73151 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 45.

The spelling of 63432057096 in words is "sixty-three billion, four hundred thirty-two million, fifty-seven thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 149 162 216 243 298 324 447 486 596 648 729 894 972 1192 1341 1458 1788 1944 2682 2916 3576 4023 5364 5832 8046 10728 12069 16092 24138 32184 36207 48276 72414 72997 96552 108621 144828 145994 217242 218991 289656 291988 434484 437982 583976 656973 868968 875964 1313946 1751928 1970919 2627892 3941838 5255784 5912757 7883676 10876553 11825514 15767352 17738271 21753106 23651028 32629659 35476542 43506212 47302056 53214813 65259318 70953084 87012424 97888977 106429626 130518636 141906168 195777954 212859252 261037272 293666931 391555908 425718504 587333862 783111816 881000793 1174667724 1762001586 2349335448 2643002379 3524003172 5286004758 7048006344 7929007137 10572009516 15858014274 21144019032 31716028548 63432057096