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380675442682752 = 27371311081071209
BaseRepresentation
bin101011010001110001110100…
…0100010010010101110000000
31211220212012212010101000222120
41112203203220202102232000
5344343441301311322002
63425343514545404240
7143116615225645020
oct12643435042225600
91756765763330876
10380675442682752
1110032760422a348
123684154b639680
1313454703b049c9
146a00b0b05da80
152e02396472cbc
hex15a38e8892b80

380675442682752 has 128 divisors (see below), whose sum is σ = 1164443421715200. Its totient is φ = 107934149406720.

The previous prime is 380675442682751. The next prime is 380675442682757. The reversal of 380675442682752 is 257286244576083.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (380675442682751) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 540183477 + ... + 540887732.

It is an arithmetic number, because the mean of its divisors is an integer number (9097214232150).

Almost surely, 2380675442682752 is an apocalyptic number.

380675442682752 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

380675442682752 is an abundant number, since it is smaller than the sum of its proper divisors (783767979032448).

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

380675442682752 is a wasteful number, since it uses less digits than its factorization.

380675442682752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1081071364 (or 1081071352 counting only the distinct ones).

The product of its (nonzero) digits is 1083801600, while the sum is 69.

The spelling of 380675442682752 in words is "three hundred eighty trillion, six hundred seventy-five billion, four hundred forty-two million, six hundred eighty-two thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 131 168 192 224 262 336 384 393 448 524 672 786 896 917 1048 1344 1572 1834 2096 2688 2751 3144 3668 4192 5502 6288 7336 8384 11004 12576 14672 16768 22008 25152 29344 44016 50304 58688 88032 117376 176064 352128 1081071209 2162142418 3243213627 4324284836 6486427254 7567498463 8648569672 12972854508 15134996926 17297139344 22702495389 25945709016 30269993852 34594278688 45404990778 51891418032 60539987704 69188557376 90809981556 103782836064 121079975408 138377114752 141620328379 181619963112 207565672128 242159950816 283240656758 363239926224 415131344256 424860985137 484319901632 566481313516 726479852448 849721970274 968639803264 991342298653 1132962627032 1452959704896 1699443940548 1982684597306 2265925254064 2905919409792 2974026895959 3398887881096 3965369194612 4531850508128 5948053791918 6797775762192 7930738389224 9063701016256 11896107583836 13595551524384 15861476778448 18127402032512 23792215167672 27191103048768 31722953556896 47584430335344 54382206097536 63445907113792 95168860670688 126891814227584 190337721341376 380675442682752