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6480075750 = 2353611391019
BaseRepresentation
bin1100000100011111…
…00001101111100110
3121201121101221210120
412002033201233212
5101232344411000
62551002302410
7316403510061
oct60217415746
917647357716
106480075750
112825919905
12130a1b7a06
137c3696065
144568998d8
1527dd676a0
hex1823e1be6

6480075750 has 128 divisors (see below), whose sum is σ = 16573939200. Its totient is φ = 1685808000.

The previous prime is 6480075733. The next prime is 6480075779. The reversal of 6480075750 is 575700846.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6358741 + ... + 6359759.

It is an arithmetic number, because the mean of its divisors is an integer number (129483900).

Almost surely, 26480075750 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6480075750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8286969600).

6480075750 is an abundant number, since it is smaller than the sum of its proper divisors (10093863450).

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

6480075750 is a wasteful number, since it uses less digits than its factorization.

6480075750 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1239 (or 1229 counting only the distinct ones).

The product of its (nonzero) digits is 235200, while the sum is 42.

The square root of 6480075750 is about 80498.9176945877. The cubic root of 6480075750 is about 1864.3467681385.

The spelling of 6480075750 in words is "six billion, four hundred eighty million, seventy-five thousand, seven hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 61 75 122 125 139 150 183 250 278 305 366 375 417 610 695 750 834 915 1019 1390 1525 1830 2038 2085 3050 3057 3475 4170 4575 5095 6114 6950 7625 8479 9150 10190 10425 15250 15285 16958 17375 20850 22875 25437 25475 30570 34750 42395 45750 50874 50950 52125 62159 76425 84790 104250 124318 127185 127375 141641 152850 186477 211975 254370 254750 283282 310795 372954 382125 423950 424923 621590 635925 708205 764250 849846 932385 1059875 1271850 1416410 1553975 1864770 2119750 2124615 3107950 3179625 3541025 4249230 4661925 6359250 7082050 7769875 8640101 9323850 10623075 15539750 17280202 17705125 21246150 23309625 25920303 35410250 43200505 46619250 51840606 53115375 86401010 106230750 129601515 216002525 259203030 432005050 648007575 1080012625 1296015150 2160025250 3240037875 6480075750