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147856474656 = 2534112895297
BaseRepresentation
bin1000100110110011101…
…1101100001000100000
3112010122101001010220000
42021230323230020200
54410302224142111
6151531353220000
713453010204142
oct2115473541040
9463571033800
10147856474656
1157784141900
12247a4a01600
1310c34462277
147228c14c92
153ca581ac56
hex226ceec220

147856474656 has 360 divisors, whose sum is σ = 483428248380. Its totient is φ = 44293201920.

The previous prime is 147856474651. The next prime is 147856474723. The reversal of 147856474656 is 656474658741.

147856474656 is a `hidden beast` number, since 1 + 4 + 7 + 8 + 564 + 7 + 4 + 65 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 147852554256 + 3920400 = 384516^2 + 1980^2 .

It is a junction number, because it is equal to n+sod(n) for n = 147856474593 and 147856474602.

It is not an unprimeable number, because it can be changed into a prime (147856474651) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 27910600 + ... + 27915896.

Almost surely, 2147856474656 is an apocalyptic number.

147856474656 is a gapful number since it is divisible by the number (16) 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 147856474656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241714124190).

147856474656 is an abundant number, since it is smaller than the sum of its proper divisors (335571773724).

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

147856474656 is a wasteful number, since it uses less digits than its factorization.

147856474656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5430 (or 5402 counting only the distinct ones).

The product of its digits is 135475200, while the sum is 63.

The spelling of 147856474656 in words is "one hundred forty-seven billion, eight hundred fifty-six million, four hundred seventy-four thousand, six hundred fifty-six".