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381376671060 = 2235711314436011
BaseRepresentation
bin1011000110010111101…
…00100010110101010100
31100110101210111020102010
411203023310202311110
522222024411433220
6451111345344220
736360604134240
oct5431364426524
91313353436363
10381376671060
11137817208760
1261ab6338070
1329c6b234788
141465ca79420
159dc19651e0
hex58cbd22d54

381376671060 has 384 divisors, whose sum is σ = 1377629503488. Its totient is φ = 76504896000.

The previous prime is 381376671041. The next prime is 381376671077. The reversal of 381376671060 is 60176673183.

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 63443455 + ... + 63449465.

It is an arithmetic number, because the mean of its divisors is an integer number (3587576832).

Almost surely, 2381376671060 is an apocalyptic number.

381376671060 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 381376671060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (688814751744).

381376671060 is an abundant number, since it is smaller than the sum of its proper divisors (996252832428).

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

381376671060 is a wasteful number, since it uses less digits than its factorization.

381376671060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6515 (or 6513 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 48.

The spelling of 381376671060 in words is "three hundred eighty-one billion, three hundred seventy-six million, six hundred seventy-one thousand, sixty".