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93144002133 = 37131720069813
BaseRepresentation
bin101011010111111010…
…0001010111001010101
322220102100212120020210
41112233310022321111
53011224331032013
6110442331120033
76505123645350
oct1265764127125
9286370776223
1093144002133
11365583a7466
12160758a3019
138a252b5680
1447186ab297
1526523b7cc3
hex15afd0ae55

93144002133 has 32 divisors (see below), whose sum is σ = 161842980096. Its totient is φ = 46240846848.

The previous prime is 93144002117. The next prime is 93144002183. The reversal of 93144002133 is 33120044139.

It is not a de Polignac number, because 93144002133 - 24 = 93144002117 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 93144002133.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (93144002183) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10030266 + ... + 10039547.

It is an arithmetic number, because the mean of its divisors is an integer number (5057593128).

Almost surely, 293144002133 is an apocalyptic number.

It is an amenable number.

93144002133 is a deficient number, since it is larger than the sum of its proper divisors (68698977963).

93144002133 is a wasteful number, since it uses less digits than its factorization.

93144002133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20069853.

The product of its (nonzero) digits is 7776, while the sum is 30.

The spelling of 93144002133 in words is "ninety-three billion, one hundred forty-four million, two thousand, one hundred thirty-three".

Divisors: 1 3 7 13 17 21 39 51 91 119 221 273 357 663 1547 4641 20069813 60209439 140488691 260907569 341186821 421466073 782722707 1023560463 1826352983 2388307747 4435428673 5479058949 7164923241 13306286019 31048000711 93144002133