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147044254965696 = 26341121989138629
BaseRepresentation
bin100001011011110001101000…
…100101010101111111000000
3201021122021220221201201010000
4201123301220211111333000
5123233133113232400241
61240423110450040000
742654411500410014
oct4133615045257700
9637567827651100
10147044254965696
1142942133546300
12145aa1b3579000
1364082a17a095a
142844da0c54544
1511eee5a00ceb6
hex85bc68955fc0

147044254965696 has 840 divisors, whose sum is σ = 510000334074000. Its totient is φ = 41739049820160.

The previous prime is 147044254965691. The next prime is 147044254965767. The reversal of 147044254965696 is 696569452440741.

147044254965696 is a `hidden beast` number, since 1 + 4 + 7 + 0 + 4 + 4 + 2 + 54 + 9 + 6 + 569 + 6 = 666.

It is a super-2 number, since 2×1470442549656962 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (147044254965691) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1060634110 + ... + 1060772738.

It is an arithmetic number, because the mean of its divisors is an integer number (607143254850).

Almost surely, 2147044254965696 is an apocalyptic number.

147044254965696 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 147044254965696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255000167037000).

147044254965696 is an abundant number, since it is smaller than the sum of its proper divisors (362956079108304).

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

147044254965696 is a wasteful number, since it uses less digits than its factorization.

147044254965696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138783 (or 138753 counting only the distinct ones).

The product of its (nonzero) digits is 1567641600, while the sum is 72.

The spelling of 147044254965696 in words is "one hundred forty-seven trillion, forty-four billion, two hundred fifty-four million, nine hundred sixty-five thousand, six hundred ninety-six".