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145818633708 = 22321119238111039
BaseRepresentation
bin1000011111001101110…
…1111100010111101100
3111221101100111002122100
42013303131330113230
54342114032234313
6150553235215100
713351343635656
oct2076335742754
9457340432570
10145818633708
11569288a9830
1224316447490
131099b1c9017
1470b43096d6
153bd6981173
hex21f377c5ec

145818633708 has 288 divisors, whose sum is σ = 442642636800. Its totient is φ = 39953865600.

The previous prime is 145818633659. The next prime is 145818633743. The reversal of 145818633708 is 807336818541.

It is a happy number.

145818633708 is a `hidden beast` number, since 1 + 458 + 186 + 3 + 3 + 7 + 0 + 8 = 666.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 140344653 + ... + 140345691.

It is an arithmetic number, because the mean of its divisors is an integer number (1536953600).

Almost surely, 2145818633708 is an apocalyptic number.

145818633708 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 145818633708, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221321318400).

145818633708 is an abundant number, since it is smaller than the sum of its proper divisors (296824003092).

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

145818633708 is a wasteful number, since it uses less digits than its factorization.

145818633708 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1913 (or 1908 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 145818633708 in words is "one hundred forty-five billion, eight hundred eighteen million, six hundred thirty-three thousand, seven hundred eight".