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2063887488 = 273213210601
BaseRepresentation
bin111101100000100…
…0110110010000000
312022211120100101100
41323001012302000
513211323344423
6540444134400
7102100516455
oct17301066200
95284510340
102063887488
1196a013243
12497237400
1326b785900
1415816982c
15c12d2343
hex7b046c80

2063887488 has 144 divisors (see below), whose sum is σ = 6431650290. Its totient is φ = 634982400.

The previous prime is 2063887471. The next prime is 2063887493. The reversal of 2063887488 is 8847883602.

2063887488 is a `hidden beast` number, since 20 + 63 + 8 + 87 + 488 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 1432471104 + 631416384 = 37848^2 + 25128^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 189388 + ... + 199988.

Almost surely, 22063887488 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 2063887488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3215825145).

2063887488 is an abundant number, since it is smaller than the sum of its proper divisors (4367762802).

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

2063887488 is a wasteful number, since it uses less digits than its factorization.

2063887488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10647 (or 10619 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The square root of 2063887488 is about 45430.0284833721. The cubic root of 2063887488 is about 1273.1962165765.

It can be divided in two parts, 206388 and 7488, that multiplied together give a square (1545433344 = 393122).

The spelling of 2063887488 in words is "two billion, sixty-three million, eight hundred eighty-seven thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 169 192 208 234 288 312 338 384 416 468 507 576 624 676 832 936 1014 1152 1248 1352 1521 1664 1872 2028 2496 2704 3042 3744 4056 4992 5408 6084 7488 8112 10601 10816 12168 14976 16224 21202 21632 24336 31803 32448 42404 48672 63606 64896 84808 95409 97344 127212 137813 169616 190818 194688 254424 275626 339232 381636 413439 508848 551252 678464 763272 826878 1017696 1102504 1240317 1356928 1526544 1653756 1791569 2035392 2205008 2480634 3053088 3307512 3583138 4070784 4410016 4961268 5374707 6106176 6615024 7166276 8820032 9922536 10749414 12212352 13230048 14332552 16124121 17640064 19845072 21498828 26460096 28665104 32248242 39690144 42997656 52920192 57330208 64496484 79380288 85995312 114660416 128992968 158760576 171990624 229320832 257985936 343981248 515971872 687962496 1031943744 2063887488