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149285242093 = 131753109116929
BaseRepresentation
bin1000101100001000011…
…0000000010011101101
3112021022221112001100111
42023002012000103231
54421214010221333
6152325232500021
713533266422651
oct2130206002355
9467287461314
10149285242093
1158347699a39
1224b233aa611
13111014739a0
147322894a61
153d3ae944cd
hex22c21804ed

149285242093 has 32 divisors (see below), whose sum is σ = 175030178400. Its totient is φ = 126080188416.

The previous prime is 149285242091. The next prime is 149285242097. The reversal of 149285242093 is 390242582941.

It can be written as a sum of positive squares in 16 ways, for example, as 2459862409 + 146825379684 = 49597^2 + 383178^2 .

It is not a de Polignac number, because 149285242093 - 21 = 149285242091 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149285242091) 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, 1218253 + ... + 1335181.

It is an arithmetic number, because the mean of its divisors is an integer number (5469693075).

Almost surely, 2149285242093 is an apocalyptic number.

149285242093 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

149285242093 is a deficient number, since it is larger than the sum of its proper divisors (25744936307).

149285242093 is a wasteful number, since it uses less digits than its factorization.

149285242093 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117121.

The product of its (nonzero) digits is 1244160, while the sum is 49.

The spelling of 149285242093 in words is "one hundred forty-nine billion, two hundred eighty-five million, two hundred forty-two thousand, ninety-three".

Divisors: 1 13 17 53 109 221 689 901 1417 1853 5777 11713 24089 75101 98209 116929 1276717 1520077 1987793 6197237 12745261 25841309 80564081 105353029 165688393 216669437 675498833 1369589377 2816702681 8781484829 11483480161 149285242093