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381052029120 = 2635756704171
BaseRepresentation
bin1011000101110000111…
…10001000100011000000
31100102120011121201101120
411202320132020203000
522220343304412440
6451015231232240
736346552543260
oct5427036104300
91312504551346
10381052029120
1113766aa33434
1261a25678680
1329c18bb9759
141462b8cd7a0
159da31d9dd0
hex58b87888c0

381052029120 has 112 divisors (see below), whose sum is σ = 1382674530048. Its totient is φ = 87097605120.

The previous prime is 381052029103. The next prime is 381052029143. The reversal of 381052029120 is 21920250183.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28345366 + ... + 28358805.

It is an arithmetic number, because the mean of its divisors is an integer number (12345308304).

Almost surely, 2381052029120 is an apocalyptic number.

381052029120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

381052029120 is an abundant number, since it is smaller than the sum of its proper divisors (1001622500928).

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

381052029120 is a wasteful number, since it uses less digits than its factorization.

381052029120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56704198 (or 56704188 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The spelling of 381052029120 in words is "three hundred eighty-one billion, fifty-two million, twenty-nine thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 140 160 168 192 210 224 240 280 320 336 420 448 480 560 672 840 960 1120 1344 1680 2240 3360 6720 56704171 113408342 170112513 226816684 283520855 340225026 396929197 453633368 567041710 680450052 793858394 850562565 907266736 1134083420 1190787591 1360900104 1587716788 1701125130 1814533472 1984645985 2268166840 2381575182 2721800208 3175433576 3402250260 3629066944 3969291970 4536333680 4763150364 5443600416 5953937955 6350867152 6804500520 7938583940 9072667360 9526300728 10887200832 11907875910 12701734304 13609001040 15877167880 18145334720 19052601456 23815751820 25403468608 27218002080 31754335760 38105202912 47631503640 54436004160 63508671520 76210405824 95263007280 127017343040 190526014560 381052029120