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501232124406 = 2313417119911093
BaseRepresentation
bin1110100101100111100…
…00110100000111110110
31202220202201200010011210
413102303300310013312
531203010410440111
61022132435542250
751132666521646
oct7226360640766
91686681603153
10501232124406
11183631515832
128118575a986
133835c4ac180
141a38cb16526
15d088db70a6
hex74b3c341f6

501232124406 has 128 divisors (see below), whose sum is σ = 1127221401600. Its totient is φ = 147585715200.

The previous prime is 501232124399. The next prime is 501232124443. The reversal of 501232124406 is 604421232105.

It is a Curzon number.

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, 45178996 + ... + 45190088.

It is an arithmetic number, because the mean of its divisors is an integer number (8806417200).

Almost surely, 2501232124406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 501232124406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (563610700800).

501232124406 is an abundant number, since it is smaller than the sum of its proper divisors (625989277194).

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

501232124406 is a wasteful number, since it uses less digits than its factorization.

501232124406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11422.

The product of its (nonzero) digits is 11520, while the sum is 30.

The spelling of 501232124406 in words is "five hundred one billion, two hundred thirty-two million, one hundred twenty-four thousand, four hundred six".

Divisors: 1 2 3 6 13 26 39 41 71 78 82 123 142 199 213 246 398 426 533 597 923 1066 1194 1599 1846 2587 2769 2911 3198 5174 5538 5822 7761 8159 8733 11093 14129 15522 16318 17466 22186 24477 28258 33279 37843 42387 48954 66558 75686 84774 106067 113529 144209 183677 212134 227058 288418 318201 367354 432627 454813 551031 579289 636402 787603 865254 909626 1102062 1158578 1364439 1575206 1737867 2207507 2362809 2728878 3475734 4415014 4725618 5912569 6622521 7530757 10238839 11825138 13245042 15061514 17737707 20477678 22592271 28697591 30716517 32291723 35475414 45184542 57395182 61433034 64583446 86092773 90507787 96875169 156732997 172185546 181015574 193750338 271523361 313465994 419792399 470198991 543046722 839584798 940397982 1176601231 1259377197 2037528961 2353202462 2518754394 3529803693 4075057922 6112586883 6426052877 7059607386 12225173766 12852105754 19278158631 38556317262 83538687401 167077374802 250616062203 501232124406