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5434166610 = 2335113277643
BaseRepresentation
bin1010000111110011…
…01100110101010010
3112000201100021012000
411003321230311102
542112121312420
62255121014430
7251443440225
oct50371546522
915021307160
105434166610
112339499894
121077a84416
13687aa3802
143979db5bc
1521c118690
hex143e6cd52

5434166610 has 128 divisors (see below), whose sum is σ = 14694946560. Its totient is φ = 1428876288.

The previous prime is 5434166561. The next prime is 5434166623. The reversal of 5434166610 is 166614345.

It is a happy 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, 8450949 + ... + 8451591.

It is an arithmetic number, because the mean of its divisors is an integer number (114804270).

Almost surely, 25434166610 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5434166610, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7347473280).

5434166610 is an abundant number, since it is smaller than the sum of its proper divisors (9260779950).

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

5434166610 is a wasteful number, since it uses less digits than its factorization.

5434166610 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1049 (or 1043 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 5434166610 is about 73716.8000526339. The cubic root of 5434166610 is about 1758.1030062302.

The spelling of 5434166610 in words is "five billion, four hundred thirty-four million, one hundred sixty-six thousand, six hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 113 135 226 270 277 339 554 565 643 678 831 1017 1130 1286 1385 1662 1695 1929 2034 2493 2770 3051 3215 3390 3858 4155 4986 5085 5787 6102 6430 7479 8310 9645 10170 11574 12465 14958 15255 17361 19290 24930 28935 30510 31301 34722 37395 57870 62602 72659 74790 86805 93903 145318 156505 173610 178111 187806 217977 281709 313010 356222 363295 435954 469515 534333 563418 653931 726590 845127 890555 939030 1068666 1089885 1307862 1408545 1602999 1690254 1781110 1961793 2179770 2671665 2817090 3205998 3269655 3923586 4225635 4808997 5343330 6539310 8014995 8451270 9617994 9808965 16029990 19617930 20126543 24044985 40253086 48089970 60379629 100632715 120759258 181138887 201265430 301898145 362277774 543416661 603796290 905694435 1086833322 1811388870 2717083305 5434166610