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381056660480 = 210586272
BaseRepresentation
bin1011000101110001011…
…11110011010000000000
31100102120111100000102102
411202320233303100000
522220401001113410
6451015514405532
736346640112626
oct5427057632000
91312514300372
10381056660480
11137672607001
1261a271308a8
1329c19b4b7c2
141462c377516
159da38022a5
hex58b8bf3400

381056660480 has 66 divisors (see below), whose sum is σ = 914195403474. Its totient is φ = 152404996096.

The previous prime is 381056660431. The next prime is 381056660503. The reversal of 381056660480 is 84066650183.

It can be written as a sum of positive squares in only one way, i.e., 304845328384 + 76211332096 = 552128^2 + 276064^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 44165927 + ... + 44174553.

Almost surely, 2381056660480 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 381056660480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457097701737).

381056660480 is an abundant number, since it is smaller than the sum of its proper divisors (533138742994).

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

381056660480 is an frugal number, since it uses more digits than its factorization.

381056660480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17279 (or 8634 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 47.

The spelling of 381056660480 in words is "three hundred eighty-one billion, fifty-six million, six hundred sixty thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1024 1280 2560 5120 8627 17254 34508 43135 69016 86270 138032 172540 276064 345080 552128 690160 1104256 1380320 2208512 2760640 4417024 5521280 8834048 11042560 22085120 44170240 74425129 148850258 297700516 372125645 595401032 744251290 1190802064 1488502580 2381604128 2977005160 4763208256 5954010320 9526416512 11908020640 19052833024 23816041280 38105666048 47632082560 76211332096 95264165120 190528330240 381056660480