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530780090152 = 2313233161311677
BaseRepresentation
bin1111011100101001111…
…01010110111100101000
31212202000222101022010111
413232110331112330220
532144014200341102
61043500443224104
753230140216454
oct7562475267450
91782028338114
10530780090152
11195114583834
1286a51218034
133b08b014680
141b9930d3664
15dc17e9ecd7
hex7b94f56f28

530780090152 has 128 divisors (see below), whose sum is σ = 1156424693760. Its totient is φ = 226376156160.

The previous prime is 530780090069. The next prime is 530780090153. The reversal of 530780090152 is 251090087035.

It is not an unprimeable number, because it can be changed into a prime (530780090153) 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 31 ways as a sum of consecutive naturals, for example, 45449338 + ... + 45461014.

It is an arithmetic number, because the mean of its divisors is an integer number (9034567920).

Almost surely, 2530780090152 is an apocalyptic number.

530780090152 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 530780090152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (578212346880).

530780090152 is an abundant number, since it is smaller than the sum of its proper divisors (625644603608).

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

530780090152 is a wasteful number, since it uses less digits than its factorization.

530780090152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12363 (or 12359 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 40.

The spelling of 530780090152 in words is "five hundred thirty billion, seven hundred eighty million, ninety thousand, one hundred fifty-two".

Divisors: 1 2 4 8 13 23 26 31 46 52 62 92 104 124 184 248 299 403 598 613 713 806 1196 1226 1426 1612 2392 2452 2852 3224 4904 5704 7969 9269 11677 14099 15938 18538 19003 23354 28198 31876 37076 38006 46708 56396 63752 74152 76012 93416 112792 151801 152024 183287 247039 268571 303602 361987 366574 437069 494078 537142 607204 723974 733148 874138 988156 1074284 1214408 1447948 1466296 1748276 1976312 2148568 2895896 3491423 3496552 4705831 5681897 6982846 7158001 8325701 9411662 11363794 13965692 14316002 16651402 18823324 22727588 27931384 28632004 33302804 37646648 45455176 57264008 66605608 93054013 108234113 164634023 186108026 216468226 221898031 329268046 372216052 432936452 443796062 658536092 744432104 865872904 887592124 1317072184 1775184248 2140242299 2884674403 4280484598 5103654713 5769348806 8560969196 10207309426 11538697612 17121938392 20414618852 23077395224 40829237704 66347511269 132695022538 265390045076 530780090152