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5432205330 = 2335173138177
BaseRepresentation
bin1010000111100100…
…01110000000010010
3112000120122121211000
411003302032000102
542111121032310
62255011002430
7251420661216
oct50362160022
915016577730
105432205330
11233837a2a2
121077299416
13687567ba6
1439764a946
1521bd7c4c0
hex143c8e012

5432205330 has 128 divisors (see below), whose sum is σ = 15833180160. Its totient is φ = 1319362560.

The previous prime is 5432205329. The next prime is 5432205353. The reversal of 5432205330 is 335022345.

5432205330 is a `hidden beast` number, since 5 + 4 + 322 + 0 + 5 + 330 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 5432205294 and 5432205303.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 123202 + ... + 161378.

It is an arithmetic number, because the mean of its divisors is an integer number (123696720).

Almost surely, 25432205330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5432205330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7916590080).

5432205330 is an abundant number, since it is smaller than the sum of its proper divisors (10400974830).

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

5432205330 is a wasteful number, since it uses less digits than its factorization.

5432205330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38241 (or 38235 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 27.

The square root of 5432205330 is about 73703.4960500518. The cubic root of 5432205330 is about 1757.8914713605.

Adding to 5432205330 its reverse (335022345), we get a palindrome (5767227675).

The spelling of 5432205330 in words is "five billion, four hundred thirty-two million, two hundred five thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 27 30 31 34 45 51 54 62 85 90 93 102 135 153 155 170 186 255 270 279 306 310 459 465 510 527 558 765 837 918 930 1054 1395 1530 1581 1674 2295 2635 2790 3162 4185 4590 4743 5270 7905 8370 9486 14229 15810 23715 28458 38177 47430 71145 76354 114531 142290 190885 229062 343593 381770 572655 649009 687186 1030779 1145310 1183487 1298018 1717965 1947027 2061558 2366974 3245045 3435930 3550461 3894054 5153895 5841081 5917435 6490090 7100922 9735135 10307790 10651383 11682162 11834870 17523243 17752305 19470270 20119279 21302766 29205405 31954149 35046486 35504610 40238558 53256915 58410810 60357837 63908298 87616215 100596395 106513830 120715674 159770745 175232430 181073511 201192790 301789185 319541490 362147022 543220533 603578370 905367555 1086441066 1810735110 2716102665 5432205330