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153768457014 = 23108723576887
BaseRepresentation
bin1000111100110101010…
…0000111001100110110
3112200220101110222001120
42033031110013030312
510004404211111024
6154350143404410
714052345214254
oct2171524071466
9480811428046
10153768457014
115a238315737
12259748b3706
1311667221493
14762a0715d4
153eee869479
hex23cd507336

153768457014 has 16 divisors (see below), whose sum is σ = 307819849728. Its totient is φ = 51208996392.

The previous prime is 153768457013. The next prime is 153768457019. The reversal of 153768457014 is 410754867351.

It is a happy number.

153768457014 is digitally balanced in base 2 and base 3, because in such bases 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 (153768457013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11781922 + ... + 11794965.

It is an arithmetic number, because the mean of its divisors is an integer number (19238740608).

Almost surely, 2153768457014 is an apocalyptic number.

153768457014 is an abundant number, since it is smaller than the sum of its proper divisors (154051392714).

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

153768457014 is a wasteful number, since it uses less digits than its factorization.

153768457014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23577979.

The product of its (nonzero) digits is 2822400, while the sum is 51.

The spelling of 153768457014 in words is "one hundred fifty-three billion, seven hundred sixty-eight million, four hundred fifty-seven thousand, fourteen".

Divisors: 1 2 3 6 1087 2174 3261 6522 23576887 47153774 70730661 141461322 25628076169 51256152338 76884228507 153768457014