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530254055344 = 241319675633557
BaseRepresentation
bin1111011011101011001…
…10101100011110110000
31212200200022112222000211
413231311212230132300
532141430014232334
61043332332353504
753211122050336
oct7556546543660
91780608488024
10530254055344
11194974655022
1286925015894
133b006045380
141b9432c1b56
15dbd6be2a64
hex7b759ac7b0

530254055344 has 160 divisors (see below), whose sum is σ = 1184441690880. Its totient is φ = 227921734656.

The previous prime is 530254055329. The next prime is 530254055351. The reversal of 530254055344 is 443550452035.

It is a junction number, because it is equal to n+sod(n) for n = 530254055297 and 530254055306.

It is an unprimeable number.

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, 149071614 + ... + 149075170.

It is an arithmetic number, because the mean of its divisors is an integer number (7402760568).

Almost surely, 2530254055344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 530254055344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (592220845440).

530254055344 is an abundant number, since it is smaller than the sum of its proper divisors (654187635536).

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

530254055344 is a wasteful number, since it uses less digits than its factorization.

530254055344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4227 (or 4221 counting only the distinct ones).

The product of its (nonzero) digits is 720000, while the sum is 40.

The spelling of 530254055344 in words is "five hundred thirty billion, two hundred fifty-four million, fifty-five thousand, three hundred forty-four".

Divisors: 1 2 4 8 13 16 19 26 38 52 67 76 104 134 152 208 247 268 304 494 536 563 871 988 1072 1126 1273 1742 1976 2252 2546 3484 3557 3952 4504 5092 6968 7114 7319 9008 10184 10697 13936 14228 14638 16549 20368 21394 28456 29276 33098 37721 42788 46241 56912 58552 66196 67583 75442 85576 92482 117104 132392 135166 139061 150884 171152 184964 238319 264784 270332 278122 301768 369928 476638 490373 540664 556244 603536 716699 739856 878579 953276 980746 1081328 1112488 1433398 1757158 1906552 1961492 2002591 2224976 2866796 3098147 3514316 3813104 3922984 4005182 4528061 5733592 6196294 7028632 7845968 8010364 9056122 9317087 11467184 12392588 14057264 16020728 18112244 18634174 24785176 26033683 32041456 36224488 37268348 38049229 49570352 52067366 58864793 72448976 74536696 76098458 104134732 117729586 134173597 149073392 152196916 208269464 235459172 268347194 304393832 416538928 470918344 494639977 536694388 608787664 941836688 989279954 1073388776 1744256761 1978559908 2146777552 2549298343 3488513522 3957119816 5098596686 6977027044 7914239632 10197193372 13954054088 20394386744 27908108176 33140878459 40788773488 66281756918 132563513836 265127027672 530254055344