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530144115174 = 232236121319851
BaseRepresentation
bin1111011011011110000…
…11010011100111100110
31212200101122200102110200
413231233003103213212
532141213343141144
61043313404131330
753205315425142
oct7555703234746
91780348612420
10530144115174
11194918594383
12868b4236b46
133acb933130b
141b932864222
15dbcc227c69
hex7b6f0d39e6

530144115174 has 96 divisors (see below), whose sum is σ = 1218931054848. Its totient is φ = 166165560000.

The previous prime is 530144115161. The next prime is 530144115187. The reversal of 530144115174 is 471511441035.

530144115174 is a `hidden beast` number, since 5 + 30 + 1 + 441 + 15 + 174 = 666.

It is an interprime number because it is at equal distance from previous prime (530144115161) and next prime (530144115187).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 53811349 + ... + 53821199.

It is an arithmetic number, because the mean of its divisors is an integer number (12697198488).

Almost surely, 2530144115174 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 530144115174, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609465527424).

530144115174 is an abundant number, since it is smaller than the sum of its proper divisors (688786939674).

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

530144115174 is a wasteful number, since it uses less digits than its factorization.

530144115174 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12074 (or 12071 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The spelling of 530144115174 in words is "five hundred thirty billion, one hundred forty-four million, one hundred fifteen thousand, one hundred seventy-four".

Divisors: 1 2 3 6 9 18 23 46 61 69 122 138 183 207 366 414 549 1098 1403 2131 2806 4209 4262 6393 8418 9851 12627 12786 19179 19702 25254 29553 38358 49013 59106 88659 98026 129991 147039 177318 226573 259982 294078 389973 441117 453146 600911 679719 779946 882234 1169919 1201822 1359438 1802733 2039157 2339838 2989793 3605466 4078314 5408199 5979586 8969379 10816398 13820953 17938758 20992481 26908137 27641906 41462859 41984962 53816274 62977443 82925718 124388577 125954886 188932329 248777154 377864658 482827063 965654126 1280541341 1448481189 2561082682 2896962378 3841624023 4345443567 7683248046 8690887134 11524872069 23049744138 29452450843 58904901686 88357352529 176714705058 265072057587 530144115174