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147087425664 = 27361982963
BaseRepresentation
bin1000100011111100011…
…0000000000010000000
3112001122202221102000000
42020333012000002000
54402213340110124
6151323202000000
713424651326614
oct2107706000200
9461582842000
10147087425664
115741a020a23
122460b346000
1310b410281aa
147194a25344
153c5d0596c9
hex223f180080

147087425664 has 224 divisors, whose sum is σ = 462466225200. Its totient is φ = 46448100864.

The previous prime is 147087425663. The next prime is 147087425671. The reversal of 147087425664 is 466524780741.

147087425664 is a `hidden beast` number, since 1 + 4 + 7 + 0 + 8 + 74 + 2 + 566 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 147087425664.

It is not an unprimeable number, because it can be changed into a prime (147087425663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1731447 + ... + 1814409.

Almost surely, 2147087425664 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 147087425664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231233112600).

147087425664 is an abundant number, since it is smaller than the sum of its proper divisors (315378799536).

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

147087425664 is an frugal number, since it uses more digits than its factorization.

147087425664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83014 (or 82987 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 54.

The spelling of 147087425664 in words is "one hundred forty-seven billion, eighty-seven million, four hundred twenty-five thousand, six hundred sixty-four".