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147206116008 = 233272695931831
BaseRepresentation
bin1000100100011000101…
…0110001001010101000
3112001222001021111112200
42021012022301022220
54402434231203013
6151343041540200
713430622224610
oct2110612611250
9461861244480
10147206116008
1157480018816
1224643044660
1310b5c7b3c73
1471a66bda40
153c686a1e73
hex22462b12a8

147206116008 has 192 divisors, whose sum is σ = 458353209600. Its totient is φ = 41809029120.

The previous prime is 147206115949. The next prime is 147206116009. The reversal of 147206116008 is 800611602741.

It is a happy number.

147206116008 is a `hidden beast` number, since 1 + 47 + 2 + 0 + 6 + 1 + 1 + 600 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (147206116009) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 80395653 + ... + 80397483.

It is an arithmetic number, because the mean of its divisors is an integer number (2387256300).

Almost surely, 2147206116008 is an apocalyptic number.

147206116008 is a gapful number since it is divisible by the number (18) 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 147206116008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229176604800).

147206116008 is an abundant number, since it is smaller than the sum of its proper divisors (311147093592).

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

147206116008 is a wasteful number, since it uses less digits than its factorization.

147206116008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2712 (or 2705 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

Adding to 147206116008 its reverse (800611602741), we get a palindrome (947817718749).

The spelling of 147206116008 in words is "one hundred forty-seven billion, two hundred six million, one hundred sixteen thousand, eight".