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3780027104080 = 245151443706357
BaseRepresentation
bin110111000000011011001…
…011000011101101010000
3111101100220120212202222211
4313000123023003231100
5443412443414312310
612012304231241504
7540045411146623
oct67003313035520
914340816782884
103780027104080
111228111834117
12510717519294
132155bb901766
14d0d507cddba
15684d9370c8a
hex3701b2c3b50

3780027104080 has 80 divisors (see below), whose sum is σ = 8866748098944. Its totient is φ = 1498604889600.

The previous prime is 3780027104047. The next prime is 3780027104089. The reversal of 3780027104080 is 804017200873.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3780027104089) 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 15 ways as a sum of consecutive naturals, for example, 4998262 + ... + 5704618.

Almost surely, 23780027104080 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3780027104080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4433374049472).

3780027104080 is an abundant number, since it is smaller than the sum of its proper divisors (5086720994864).

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

3780027104080 is a wasteful number, since it uses less digits than its factorization.

3780027104080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 706964 (or 706958 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 40.

The spelling of 3780027104080 in words is "three trillion, seven hundred eighty billion, twenty-seven million, one hundred four thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 151 302 443 604 755 886 1208 1510 1772 2215 2416 3020 3544 4430 6040 7088 8860 12080 17720 35440 66893 133786 267572 334465 535144 668930 706357 1070288 1337860 1412714 2675720 2825428 3531785 5351440 5650856 7063570 11301712 14127140 28254280 56508560 106659907 213319814 312916151 426639628 533299535 625832302 853279256 1066599070 1251664604 1564580755 1706558512 2133198140 2503329208 3129161510 4266396280 5006658416 6258323020 8532792560 12516646040 25033292080 47250338801 94500677602 189001355204 236251694005 378002710408 472503388010 756005420816 945006776020 1890013552040 3780027104080