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147986040384 = 26327135215419
BaseRepresentation
bin1000100111010010100…
…1111100011001000000
3112010222101211202122200
42021310221330121000
54411033411243014
6151552302233200
713456142405610
oct2116451743100
9463871752580
10147986040384
1157840297516
1224820285800
1310c55258190
14723c100a40
153cb1db0a09
hex2274a7c640

147986040384 has 336 divisors, whose sum is σ = 523160426880. Its totient is φ = 38947184640.

The previous prime is 147986040359. The next prime is 147986040427. The reversal of 147986040384 is 483040689741.

147986040384 is a `hidden beast` number, since 14 + 7 + 98 + 60 + 403 + 84 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a self number, because there is not a number n which added to its sum of digits gives 147986040384.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27306027 + ... + 27311445.

It is an arithmetic number, because the mean of its divisors is an integer number (1557025080).

Almost surely, 2147986040384 is an apocalyptic number.

147986040384 is a gapful number since it is divisible by the number (14) 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 147986040384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261580213440).

147986040384 is an abundant number, since it is smaller than the sum of its proper divisors (375174386496).

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

147986040384 is a wasteful number, since it uses less digits than its factorization.

147986040384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5978 (or 5965 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 147986040384 in words is "one hundred forty-seven billion, nine hundred eighty-six million, forty thousand, three hundred eighty-four".