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164541415430 = 257217109181219
BaseRepresentation
bin1001100100111101101…
…1101100000000000110
3120201201011200221210102
42121033123230000012
510143440100243210
6203331141324102
714613326645300
oct2311733540006
9521634627712
10164541415430
1163866380857
1227a80706632
13126930b42a2
147d6cb20970
15443050bea5
hex264f6ec006

164541415430 has 96 divisors (see below), whose sum is σ = 368144805600. Its totient is φ = 52608310272.

The previous prime is 164541415429. The next prime is 164541415439. The reversal of 164541415430 is 34514145461.

164541415430 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164541415439) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 817361 + ... + 998579.

It is an arithmetic number, because the mean of its divisors is an integer number (3834841725).

Almost surely, 2164541415430 is an apocalyptic number.

164541415430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

164541415430 is an abundant number, since it is smaller than the sum of its proper divisors (203603390170).

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

164541415430 is a wasteful number, since it uses less digits than its factorization.

164541415430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181366 (or 181359 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 38.

The spelling of 164541415430 in words is "one hundred sixty-four billion, five hundred forty-one million, four hundred fifteen thousand, four hundred thirty".

Divisors: 1 2 5 7 10 14 17 34 35 49 70 85 98 109 119 170 218 238 245 490 545 595 763 833 1090 1190 1526 1666 1853 3706 3815 4165 5341 7630 8330 9265 10682 12971 18530 25942 26705 53410 64855 90797 129710 181219 181594 362438 453985 906095 907970 1268533 1812190 2537066 3080723 6161446 6342665 8879731 12685330 15403615 17759462 19752871 21565061 30807230 39505742 43130122 44398655 88797310 98764355 107825305 138270097 150955427 197528710 215650610 276540194 301910854 335798807 671597614 691350485 754777135 967890679 1382700970 1509554270 1678994035 1935781358 2350591649 3357988070 4701183298 4839453395 9678906790 11752958245 16454141543 23505916490 32908283086 82270707715 164541415430