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153449666144 = 2541768115227
BaseRepresentation
bin1000111011101001010…
…0000001011001100000
3112200002011121201012022
42032322110001121200
510003231103304034
6154254354521012
714041424432645
oct2167224013140
9480064551168
10153449666144
115a094377405
12258a5b96168
1311616174728
1475d99a9dcc
153ed1897b2e
hex23ba501660

153449666144 has 48 divisors (see below), whose sum is σ = 309533038416. Its totient is φ = 74838835200.

The previous prime is 153449666131. The next prime is 153449666147. The reversal of 153449666144 is 441666944351.

153449666144 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153449666147) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10069859 + ... + 10085085.

It is an arithmetic number, because the mean of its divisors is an integer number (6448604967).

Almost surely, 2153449666144 is an apocalyptic number.

It is an amenable number.

153449666144 is an abundant number, since it is smaller than the sum of its proper divisors (156083372272).

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

153449666144 is a wasteful number, since it uses less digits than its factorization.

153449666144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22959 (or 22951 counting only the distinct ones).

The product of its digits is 7464960, while the sum is 53.

The spelling of 153449666144 in words is "one hundred fifty-three billion, four hundred forty-nine million, six hundred sixty-six thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 41 82 164 328 656 1312 7681 15227 15362 30454 30724 60908 61448 121816 122896 243632 245792 314921 487264 624307 629842 1248614 1259684 2497228 2519368 4994456 5038736 9988912 10077472 19977824 116958587 233917174 467834348 935668696 1871337392 3742674784 4795302067 9590604134 19181208268 38362416536 76724833072 153449666144