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5032005233200 = 2452118811298113
BaseRepresentation
bin100100100111001101011…
…1000100110101000110000
3122211001111002121102121121
41021032122320212220300
51124421021314430300
614411400555432024
71026356531520001
oct111163270465060
918731432542547
105032005233200
111670074851a10
126932a0455614
132a6692a1668a
1413579c24d1a8
158ad623e381a
hex4939ae26a30

5032005233200 has 120 divisors (see below), whose sum is σ = 13203408271536. Its totient is φ = 1827741696000.

The previous prime is 5032005233183. The next prime is 5032005233207. The reversal of 5032005233200 is 23325002305.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (5032005233207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3227344 + ... + 4525456.

Almost surely, 25032005233200 is an apocalyptic number.

5032005233200 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 5032005233200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6601704135768).

5032005233200 is an abundant number, since it is smaller than the sum of its proper divisors (8171403038336).

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

5032005233200 is a wasteful number, since it uses less digits than its factorization.

5032005233200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1299023 (or 1299012 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 25.

The spelling of 5032005233200 in words is "five trillion, thirty-two billion, five million, two hundred thirty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 176 200 220 275 400 440 550 880 881 1100 1762 2200 3524 4400 4405 7048 8810 9691 14096 17620 19382 22025 35240 38764 44050 48455 70480 77528 88100 96910 155056 176200 193820 242275 352400 387640 484550 775280 969100 1298113 1938200 2596226 3876400 5192452 6490565 10384904 12981130 14279243 20769808 25962260 28558486 32452825 51924520 57116972 64905650 71396215 103849040 114233944 129811300 142792430 228467888 259622600 285584860 356981075 519245200 571169720 713962150 1142339440 1143637553 1427924300 2287275106 2855848600 4574550212 5711697200 5718187765 9149100424 11436375530 12580013083 18298200848 22872751060 25160026166 28590938825 45745502120 50320052332 57181877650 62900065415 91491004240 100640104664 114363755300 125800130830 201280209328 228727510600 251600261660 314500327075 457455021200 503200523320 629000654150 1006401046640 1258001308300 2516002616600 5032005233200