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10074055152 = 243729982307
BaseRepresentation
bin10010110000111010…
…11110000111110000
3222000002010000200210
421120131132013300
5131112424231102
64343345544120
7504434025120
oct113035360760
928002100623
1010074055152
1142aa5a5817
121b51945040
13c471489a5
146b7d1cc80
153de63a36c
hex25875e1f0

10074055152 has 40 divisors (see below), whose sum is σ = 29742449536. Its totient is φ = 2878301376.

The previous prime is 10074055127. The next prime is 10074055169. The reversal of 10074055152 is 25155047001.

10074055152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14990818 + ... + 14991489.

Almost surely, 210074055152 is an apocalyptic number.

10074055152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10074055152 is an abundant number, since it is smaller than the sum of its proper divisors (19668394384).

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

10074055152 is a wasteful number, since it uses less digits than its factorization.

10074055152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29982325 (or 29982319 counting only the distinct ones).

The product of its (nonzero) digits is 7000, while the sum is 30.

The spelling of 10074055152 in words is "ten billion, seventy-four million, fifty-five thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 29982307 59964614 89946921 119929228 179893842 209876149 239858456 359787684 419752298 479716912 629628447 719575368 839504596 1259256894 1439150736 1679009192 2518513788 3358018384 5037027576 10074055152