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381057779200 = 295274252877
BaseRepresentation
bin1011000101110001101…
…00000100011000000000
31100102120120102212000111
411202320310010120000
522220401242413300
6451015554401104
736346652452330
oct5427064043000
91312516385014
10381057779200
1113767320056a
1261a27590194
1329c1a150a77
141462c5890c0
159da39739ba
hex58b8d04600

381057779200 has 120 divisors (see below), whose sum is σ = 1078972160112. Its totient is φ = 130648350720.

The previous prime is 381057779197. The next prime is 381057779227. The reversal of 381057779200 is 2977750183.

It is a happy number.

It is a hoax number, since the sum of its digits (49) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2036839 + ... + 2216038.

Almost surely, 2381057779200 is an apocalyptic number.

It is an amenable number.

381057779200 is an abundant number, since it is smaller than the sum of its proper divisors (697914380912).

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

381057779200 is an equidigital number, since it uses as much as digits as its factorization.

381057779200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4252912 (or 4252891 counting only the distinct ones).

The product of its (nonzero) digits is 740880, while the sum is 49.

The spelling of 381057779200 in words is "three hundred eighty-one billion, fifty-seven million, seven hundred seventy-nine thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 64 70 80 100 112 128 140 160 175 200 224 256 280 320 350 400 448 512 560 640 700 800 896 1120 1280 1400 1600 1792 2240 2560 2800 3200 3584 4480 5600 6400 8960 11200 12800 17920 22400 44800 89600 4252877 8505754 17011508 21264385 29770139 34023016 42528770 59540278 68046032 85057540 106321925 119080556 136092064 148850695 170115080 212643850 238161112 272184128 297701390 340230160 425287700 476322224 544368256 595402780 680460320 744253475 850575400 952644448 1088736512 1190805560 1360920640 1488506950 1701150800 1905288896 2177473024 2381611120 2721841280 2977013900 3402301600 3810577792 4763222240 5443682560 5954027800 6804603200 7621155584 9526444480 10887365120 11908055600 13609206400 15242311168 19052888960 23816111200 27218412800 38105777920 47632222400 54436825600 76211555840 95264444800 190528889600 381057779200