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4128688375 = 53773109593
BaseRepresentation
bin1111011000010110…
…1100100011110111
3101122201212002201021
43312011230203313
531423421012000
61521404042011
7204212162230
oct36605544367
911581762637
104128688375
11182959a759
12972833307
1350a49b196
142b2492087
151926e511a
hexf616c8f7

4128688375 has 64 divisors (see below), whose sum is σ = 6034279680. Its totient is φ = 2762035200.

The previous prime is 4128688349. The next prime is 4128688409. The reversal of 4128688375 is 5738868214.

It is not a de Polignac number, because 4128688375 - 27 = 4128688247 is a prime.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 6962079 + ... + 6962671.

It is an arithmetic number, because the mean of its divisors is an integer number (94285620).

Almost surely, 24128688375 is an apocalyptic number.

4128688375 is a deficient number, since it is larger than the sum of its proper divisors (1905591305).

4128688375 is a wasteful number, since it uses less digits than its factorization.

4128688375 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 797 (or 787 counting only the distinct ones).

The product of its digits is 2580480, while the sum is 52.

The square root of 4128688375 is about 64254.8704379676. The cubic root of 4128688375 is about 1604.2450262129.

The spelling of 4128688375 in words is "four billion, one hundred twenty-eight million, six hundred eighty-eight thousand, three hundred seventy-five".

Divisors: 1 5 7 25 35 73 109 125 175 365 511 545 593 763 875 1825 2555 2725 2965 3815 4151 7957 9125 12775 13625 14825 19075 20755 39785 43289 55699 63875 64637 74125 95375 103775 198925 216445 278495 303023 323185 452459 518875 994625 1082225 1392475 1515115 1615925 2262295 4718501 5411125 6962375 7575575 8079625 11311475 23592505 33029507 37877875 56557375 117962525 165147535 589812625 825737675 4128688375