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20005432434 = 2331359716803
BaseRepresentation
bin10010101000011010…
…101010110001110010
31220122012202021011000
4102220122222301302
5311432342314214
613105041502430
71305516240621
oct225032526162
956565667130
1020005432434
1185365aa539
123a63941a16
131b6a85a4b0
14d7acdb6b8
157c1490809
hex4a86aac72

20005432434 has 128 divisors (see below), whose sum is σ = 49380710400. Its totient is φ = 5965081920.

The previous prime is 20005432423. The next prime is 20005432439. The reversal of 20005432434 is 43423450002.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 20005432398 and 20005432407.

It is not an unprimeable number, because it can be changed into a prime (20005432439) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2937277 + ... + 2944079.

It is an arithmetic number, because the mean of its divisors is an integer number (385786800).

Almost surely, 220005432434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20005432434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24690355200).

20005432434 is an abundant number, since it is smaller than the sum of its proper divisors (29375277966).

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

20005432434 is a wasteful number, since it uses less digits than its factorization.

20005432434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6957 (or 6951 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 27.

Adding to 20005432434 its reverse (43423450002), we get a palindrome (63428882436).

The spelling of 20005432434 in words is "twenty billion, five million, four hundred thirty-two thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 59 71 78 117 118 142 177 213 234 351 354 426 531 639 702 767 923 1062 1278 1534 1593 1846 1917 2301 2769 3186 3834 4189 4602 5538 6803 6903 8307 8378 12567 13606 13806 16614 20409 20709 24921 25134 37701 40818 41418 49842 54457 61227 75402 88439 108914 113103 122454 163371 176878 183681 226206 265317 326742 367362 401377 483013 490113 530634 795951 802754 966026 980226 1204131 1449039 1470339 1591902 2387853 2408262 2898078 2940678 3612393 4347117 4775706 5217901 6279169 7224786 8694234 10435802 10837179 12558338 13041351 15653703 18837507 21674358 26082702 28497767 31307406 37675014 46961109 56512521 56995534 85493301 93922218 113025042 140883327 169537563 170986602 256479903 281766654 339075126 370470971 512959806 740941942 769439709 1111412913 1538879418 2222825826 3334238739 6668477478 10002716217 20005432434