Search a number
-
+
405201541602 = 231113279459847
BaseRepresentation
bin1011110010101111110…
…01001101100111100010
31102201220012012001122210
411321113321031213202
523114323043312402
6510051431142550
741163162163224
oct5712771154742
91381805161583
10405201541602
11146932785610
1266645214a56
132c297173b00
141587cd28414
15a8183b106c
hex5e57e4d9e2

405201541602 has 96 divisors (see below), whose sum is σ = 969433159680. Its totient is φ = 111908122560.

The previous prime is 405201541597. The next prime is 405201541607. The reversal of 405201541602 is 206145102504.

It is an interprime number because it is at equal distance from previous prime (405201541597) and next prime (405201541607).

It is a self number, because there is not a number n which added to its sum of digits gives 405201541602.

It is not an unprimeable number, because it can be changed into a prime (405201541607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 651243 + ... + 1111089.

It is an arithmetic number, because the mean of its divisors is an integer number (10098262080).

Almost surely, 2405201541602 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 405201541602, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484716579840).

405201541602 is an abundant number, since it is smaller than the sum of its proper divisors (564231618078).

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

405201541602 is a wasteful number, since it uses less digits than its factorization.

405201541602 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459968 (or 459955 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The spelling of 405201541602 in words is "four hundred five billion, two hundred one million, five hundred forty-one thousand, six hundred two".

Divisors: 1 2 3 6 11 13 22 26 33 39 66 78 79 143 158 169 237 286 338 429 474 507 858 869 1014 1027 1738 1859 2054 2607 3081 3718 5214 5577 6162 11154 11297 13351 22594 26702 33891 40053 67782 80106 146861 293722 440583 459847 881166 919694 1379541 2759082 5058317 5978011 10116634 11956022 15174951 17934033 30349902 35868066 36327913 65758121 72655826 77714143 108983739 131516242 155428286 197274363 217967478 233142429 394548726 399607043 466284858 472262869 799214086 854855573 944525738 1198821129 1416788607 1709711146 2397642258 2564566719 2833577214 5129133438 5194891559 6139417297 10389783118 12278834594 15584674677 18418251891 31169349354 36836503782 67533590267 135067180534 202600770801 405201541602