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616459849704132 = 223721998527617843
BaseRepresentation
bin1000110000101010101011111…
…0010111000010001011000100
32222211200222121212000100000020
42030022222332113002023010
51121300034233011013012
610023033424555415140
7243563516516263200
oct21412527627021304
92884628555010006
10616459849704132
111694721770a0305
12591820704544b0
13205c8bb6bb9985
14ac32b5cc7bb00
154b40806e07a8c
hex230aabe5c22c4

616459849704132 has 144 divisors (see below), whose sum is σ = 1681856383334400. Its totient is φ = 175225467751488.

The previous prime is 616459849704079. The next prime is 616459849704157. The reversal of 616459849704132 is 231407948954616.

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, 997452403 + ... + 998070245.

It is an arithmetic number, because the mean of its divisors is an integer number (11679558217600).

It is a 1-persistent number, because it is pandigital, but 2⋅616459849704132 = 1232919699408264 is not.

Almost surely, 2616459849704132 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 616459849704132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (840928191667200).

616459849704132 is an abundant number, since it is smaller than the sum of its proper divisors (1065396533630268).

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

616459849704132 is a wasteful number, since it uses less digits than its factorization.

616459849704132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 626590 (or 626581 counting only the distinct ones).

The product of its (nonzero) digits is 313528320, while the sum is 69.

The spelling of 616459849704132 in words is "six hundred sixteen trillion, four hundred fifty-nine billion, eight hundred forty-nine million, seven hundred four thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 199 294 398 588 597 796 1194 1393 2388 2786 4179 5572 8358 8527 9751 16716 17054 19502 25581 29253 34108 39004 51162 58506 59689 102324 117012 119378 179067 238756 358134 417823 617843 716268 835646 1235686 1253469 1671292 1696873 1853529 2471372 2506938 3393746 3707058 4324901 5013876 5090619 6787492 7414116 8649802 10181238 11878111 12974703 17299604 20362476 23756222 25949406 30274307 35634333 47512444 51898812 60548614 71268666 83146777 90822921 121097228 122950757 142537332 166293554 181645842 245901514 249440331 332587108 363291684 368852271 491803028 498880662 737704542 860655299 997761324 1475409084 1721310598 2581965897 3442621196 5163931794 5268347261 6024587093 10327863588 10536694522 12049174186 15805041783 18073761279 21073389044 24098348372 31610083566 36147522558 36878430827 63220167132 72295045116 73756861654 110635292481 147513723308 221270584962 258149015789 442541169924 516298031578 774447047367 1032596063156 1048401104939 1548894094734 2096802209878 3097788189468 3145203314817 4193604419756 6290406629634 7338807734573 12580813259268 14677615469146 22016423203719 29355230938292 44032846407438 51371654142011 88065692814876 102743308284022 154114962426033 205486616568044 308229924852066 616459849704132