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153457136223 = 32329731795869
BaseRepresentation
bin1000111011101011000…
…0100001001001011111
3112200002200200020012220
42032322300201021133
510003240011324343
6154255223000423
714041545064416
oct2167260411137
9480080606186
10153457136223
115a098609826
12258a8599113
131161788b8b1
1475da99247d
153ed2371183
hex23bac2125f

153457136223 has 64 divisors (see below), whose sum is σ = 225182592000. Its totient is φ = 92651682816.

The previous prime is 153457136159. The next prime is 153457136243. The reversal of 153457136223 is 322631754351.

It is a happy number.

153457136223 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 153457136223 - 26 = 153457136159 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153457136243) 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 63 ways as a sum of consecutive naturals, for example, 26144133 + ... + 26150001.

It is an arithmetic number, because the mean of its divisors is an integer number (3518478000).

Almost surely, 2153457136223 is an apocalyptic number.

153457136223 is a deficient number, since it is larger than the sum of its proper divisors (71725455777).

153457136223 is a wasteful number, since it uses less digits than its factorization.

153457136223 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6176.

The product of its digits is 453600, while the sum is 42.

The spelling of 153457136223 in words is "one hundred fifty-three billion, four hundred fifty-seven million, one hundred thirty-six thousand, two hundred twenty-three".

Divisors: 1 3 23 29 69 73 87 179 219 537 667 1679 2001 2117 4117 5037 5191 5869 6351 12351 13067 15573 17607 39201 48691 119393 134987 146073 170201 300541 358179 378943 404961 428437 510603 901623 1050551 1136829 1285311 3151653 3914623 8715689 9854051 11743869 12424673 24162673 26147067 29562153 30465979 37274019 72488019 76690223 91397937 230070669 285767479 700717517 857302437 1763875129 2102152551 2224016467 5291625387 6672049401 51152378741 153457136223