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4861348233364 = 22722323312173803
BaseRepresentation
bin100011010111101111011…
…1011110100000010010100
3122012201222201100121011001
41012233132323310002110
51114122020121431424
614201134511553044
71011135512122300
oct106573673640224
918181881317131
104861348233364
111604760385077
126661b382b784
132935669274bc
1412b40d232d00
15866c506b844
hex46bdeef4094

4861348233364 has 144 divisors (see below), whose sum is σ = 10382161765248. Its totient is φ = 1982145994752.

The previous prime is 4861348233349. The next prime is 4861348233377. The reversal of 4861348233364 is 4633328431684.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 1278291087 + ... + 1278294889.

It is an arithmetic number, because the mean of its divisors is an integer number (72098345592).

Almost surely, 24861348233364 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 4861348233364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5191080882624).

4861348233364 is an abundant number, since it is smaller than the sum of its proper divisors (5520813531884).

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

4861348233364 is a wasteful number, since it uses less digits than its factorization.

4861348233364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5294 (or 5285 counting only the distinct ones).

The product of its digits is 23887872, while the sum is 55.

The spelling of 4861348233364 in words is "four trillion, eight hundred sixty-one billion, three hundred forty-eight million, two hundred thirty-three thousand, three hundred sixty-four".

Divisors: 1 2 4 7 14 23 28 46 49 92 98 161 196 233 322 466 644 932 1127 1217 1631 2254 2434 3262 3803 4508 4868 5359 6524 7606 8519 10718 11417 15212 17038 21436 22834 26621 27991 34076 37513 45668 53242 55982 59633 75026 87469 106484 111964 119266 150052 174938 186347 195937 238532 262591 283561 349876 372694 391874 525182 567122 612283 745388 783748 886099 1050364 1134244 1224566 1371559 1772198 1984927 2449132 2743118 3544396 3969854 4285981 4628251 5486236 6202693 6521903 7939708 8571962 9256502 12405386 13043806 13894489 17143924 18513004 20380277 24810772 26087612 27788978 32397757 40760554 43418851 45653321 55577956 64795514 81521108 86837702 91306642 106449773 129591028 142661939 173675404 182613284 212899546 226784299 285323878 319573247 425799092 453568598 570647756 639146494 745148411 907137196 998633573 1078382483 1278292988 1490296822 1997267146 2156764966 2980593644 3994534292 4313529932 5216038877 7548677381 10432077754 15097354762 20864155508 24802797109 30194709524 49605594218 52840741667 99211188436 105681483334 173619579763 211362966668 347239159526 694478319052 1215337058341 2430674116682 4861348233364