Search a number
-
+
432426530562054 = 237234118160321589
BaseRepresentation
bin110001001010010100010010…
…1101111101110000000000110
32002201002120110102022021211020
41202110220211233232000012
5423134334013310441204
64131410001121252010
7160040533354646220
oct14224504557560006
92081076412267736
10432426530562054
1111586a075190876
12405bb1aa194006
13157398541c8c12
1478ad7acdab410
1534ed616a35bd9
hex1894a25bee006

432426530562054 has 128 divisors (see below), whose sum is σ = 1062370331043840. Its totient is φ = 114659274470400.

The previous prime is 432426530562017. The next prime is 432426530562073. The reversal of 432426530562054 is 450265035624234.

It is a super-2 number, since 2×4324265305620542 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 432426530561988 and 432426530562006.

It is a congruent number.

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, 22992109 + ... + 37329480.

It is an arithmetic number, because the mean of its divisors is an integer number (8299768211280).

Almost surely, 2432426530562054 is an apocalyptic number.

432426530562054 is an abundant number, since it is smaller than the sum of its proper divisors (629943800481786).

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

432426530562054 is a wasteful number, since it uses less digits than its factorization.

432426530562054 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60321846.

The product of its (nonzero) digits is 20736000, while the sum is 51.

The spelling of 432426530562054 in words is "four hundred thirty-two trillion, four hundred twenty-six billion, five hundred thirty million, five hundred sixty-two thousand, fifty-four".

Divisors: 1 2 3 6 7 14 21 23 41 42 46 69 82 123 138 161 181 246 287 322 362 483 543 574 861 943 966 1086 1267 1722 1886 2534 2829 3801 4163 5658 6601 7421 7602 8326 12489 13202 14842 19803 22263 24978 29141 39606 44526 51947 58282 87423 103894 155841 170683 174846 311682 341366 512049 1024098 1194781 2389562 3584343 7168686 60321589 120643178 180964767 361929534 422251123 844502246 1266753369 1387396547 2473185149 2533506738 2774793094 4162189641 4946370298 7419555447 8324379282 9711775829 10918207609 14839110894 17312296043 19423551658 21836415218 29135327487 32754622827 34624592086 51936888129 56883258427 58270654974 65509245654 76427453263 103873776258 113766516854 152854906526 170649775281 229282359789 251118775007 341299550562 398182808989 447646511969 458564719578 502237550014 753356325021 796365617978 895293023938 1194548426967 1342939535907 1506712650042 1757831425049 2389096853934 2685879071814 3133525583783 3515662850098 5273494275147 6267051167566 9400576751349 10295869775287 10546988550294 18801153502698 20591739550574 30887609325861 61775218651722 72071088427009 144142176854018 216213265281027 432426530562054