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381480071252 = 227374381110559
BaseRepresentation
bin1011000110100011111…
…10111111000001010100
31100110200000001111210212
411203101332333001110
522222232344240002
6451125521504552
736363301050440
oct5432176770124
91313600044725
10381480071252
1113786a611865
1261b24aa2158
1329c86798b17
141466c6b3820
159dcaa8c352
hex58d1fbf054

381480071252 has 96 divisors (see below), whose sum is σ = 802868183040. Its totient is φ = 155167125120.

The previous prime is 381480071237. The next prime is 381480071279. The reversal of 381480071252 is 252170084183.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36123149 + ... + 36133707.

It is an arithmetic number, because the mean of its divisors is an integer number (8363210240).

Almost surely, 2381480071252 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 381480071252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401434091520).

381480071252 is an abundant number, since it is smaller than the sum of its proper divisors (421388111788).

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

381480071252 is a wasteful number, since it uses less digits than its factorization.

381480071252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11461 (or 11459 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 41.

The spelling of 381480071252 in words is "three hundred eighty-one billion, four hundred eighty million, seventy-one thousand, two hundred fifty-two".

Divisors: 1 2 4 7 14 28 37 43 74 86 148 172 259 301 518 602 811 1036 1204 1591 1622 3182 3244 5677 6364 10559 11137 11354 21118 22274 22708 30007 34873 42236 44548 60014 69746 73913 120028 139492 147826 210049 244111 295652 390683 420098 454037 488222 781366 840196 908074 976444 1290301 1562732 1816148 2580602 2734781 3178259 5161204 5469562 6356518 8563349 9032107 10939124 12713036 16799369 17126698 18064214 33598738 34253396 36128428 59943443 67197476 117595583 119886886 235191166 239773772 316843913 368224007 470382332 633687826 736448014 1267375652 1472896028 2217907391 2577568049 4435814782 5155136098 8871629564 10310272196 13624288259 27248576518 54497153036 95370017813 190740035626 381480071252