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5084179941300 = 22352295091148111
BaseRepresentation
bin100100111111100000010…
…1111010100011110110100
3200000001011020112012220220
41021333000233110132310
51131244400031110200
614451350124454340
71033214501312415
oct111770057243664
920001136465826
105084179941300
11169020903a389
126a14216aa3b0
132ab5891a0a15
1413810b71580c
158c3b7b5b4a0
hex49fc0bd47b4

5084179941300 has 144 divisors (see below), whose sum is σ = 15247386604800. Its totient is φ = 1306457331200.

The previous prime is 5084179941263. The next prime is 5084179941311. The reversal of 5084179941300 is 31499714805.

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, 3854245 + ... + 5002355.

It is an arithmetic number, because the mean of its divisors is an integer number (105884629200).

Almost surely, 25084179941300 is an apocalyptic number.

5084179941300 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5084179941300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7623693302400).

5084179941300 is an abundant number, since it is smaller than the sum of its proper divisors (10163206663500).

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

5084179941300 is a wasteful number, since it uses less digits than its factorization.

5084179941300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1148666 (or 1148659 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 51.

The spelling of 5084179941300 in words is "five trillion, eighty-four billion, one hundred seventy-nine million, nine hundred forty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 29 30 50 58 60 75 87 100 116 145 150 174 290 300 348 435 509 580 725 870 1018 1450 1527 1740 2036 2175 2545 2900 3054 4350 5090 6108 7635 8700 10180 12725 14761 15270 25450 29522 30540 38175 44283 50900 59044 73805 76350 88566 147610 152700 177132 221415 295220 369025 442830 738050 885660 1107075 1148111 1476100 2214150 2296222 3444333 4428300 4592444 5740555 6888666 11481110 13777332 17221665 22962220 28702775 33295219 34443330 57405550 66590438 68886660 86108325 99885657 114811100 133180876 166476095 172216650 199771314 332952190 344433300 399542628 499428285 584388499 665904380 832380475 998856570 1168776998 1664760950 1753165497 1997713140 2337553996 2497141425 2921942495 3329521900 3506330994 4994282850 5843884990 7012661988 8765827485 9988565700 11687769980 14609712475 16947266471 17531654970 29219424950 33894532942 35063309940 43829137425 50841799413 58438849900 67789065884 84736332355 87658274850 101683598826 169472664710 175316549700 203367197652 254208997065 338945329420 423681661775 508417994130 847363323550 1016835988260 1271044985325 1694726647100 2542089970650 5084179941300