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5434654760 = 235432197373
BaseRepresentation
bin1010000111110111…
…00100000000101000
3112000202021001210122
411003323210000220
542112232423020
62255135302412
7251450542343
oct50373440050
915022231718
105434654760
1123397a2617
12107807aa08
13687c14a62
14397ac745a
1521c1b3125
hex143ee4028

5434654760 has 96 divisors (see below), whose sum is σ = 12616239240. Its totient is φ = 2106865152.

The previous prime is 5434654747. The next prime is 5434654807. The reversal of 5434654760 is 674564345.

It can be written as a sum of positive squares in 4 ways, for example, as 5356190596 + 78464164 = 73186^2 + 8858^2 .

It is a hoax number, since the sum of its digits (44) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14569934 + ... + 14570306.

Almost surely, 25434654760 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 5434654760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6308119620).

5434654760 is an abundant number, since it is smaller than the sum of its proper divisors (7181584480).

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

5434654760 is a wasteful number, since it uses less digits than its factorization.

5434654760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 667 (or 620 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 44.

The square root of 5434654760 is about 73720.1109603072. The cubic root of 5434654760 is about 1758.1556479903.

The spelling of 5434654760 in words is "five billion, four hundred thirty-four million, six hundred fifty-four thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 43 86 172 197 215 344 373 394 430 746 788 860 985 1492 1576 1720 1849 1865 1970 2984 3698 3730 3940 7396 7460 7880 8471 9245 14792 14920 16039 16942 18490 32078 33884 36980 42355 64156 67768 73481 73960 80195 84710 128312 146962 160390 169420 293924 320780 338840 364253 367405 587848 641560 689677 728506 734810 1379354 1457012 1469620 1821265 2758708 2914024 2939240 3159683 3448385 3642530 5517416 6319366 6896770 7285060 12638732 13793540 14570120 15798415 25277464 27587080 31596830 63193660 126387320 135866369 271732738 543465476 679331845 1086930952 1358663690 2717327380 5434654760