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380070211374 = 232734767113173
BaseRepresentation
bin1011000011111011111…
…00110010111100101110
31100100000202011012122100
411201331330302330232
522211340433230444
6450333555355530
736313331331000
oct5417574627456
91310022135570
10380070211374
111372067a9207
12617b08b2ba6
1329ac06774c9
1414577356370
159d46deae69
hex587df32f2e

380070211374 has 384 divisors, whose sum is σ = 1010017382400. Its totient is φ = 103168429056.

The previous prime is 380070211349. The next prime is 380070211393. The reversal of 380070211374 is 473112070083.

380070211374 is a `hidden beast` number, since 3 + 8 + 0 + 0 + 70 + 211 + 374 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2196937552 + ... + 2196937724.

It is an arithmetic number, because the mean of its divisors is an integer number (2630253600).

Almost surely, 2380070211374 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 380070211374, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505008691200).

380070211374 is an abundant number, since it is smaller than the sum of its proper divisors (629947171026).

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

380070211374 is a wasteful number, since it uses less digits than its factorization.

380070211374 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 380070211374 in words is "three hundred eighty billion, seventy million, two hundred eleven thousand, three hundred seventy-four".