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54381511769 = 13172102114177
BaseRepresentation
bin110010101001011001…
…000000010001011001
312012100221102000211112
4302221121000101121
51342333131334034
640552120310105
73633424136354
oct625131002131
9165327360745
1054381511769
1121076a44762
12a658312335
13518872b740
1428bc5d529b
15163437a7ce
hexca9640459

54381511769 has 24 divisors (see below), whose sum is σ = 62277658968. Its totient is φ = 47195873280.

The previous prime is 54381511757. The next prime is 54381511781. The reversal of 54381511769 is 96711518345.

It is an interprime number because it is at equal distance from previous prime (54381511757) and next prime (54381511781).

It can be written as a sum of positive squares in 12 ways, for example, as 629407744 + 53752104025 = 25088^2 + 231845^2 .

It is not a de Polignac number, because 54381511769 - 216 = 54381446233 is a prime.

It is a super-2 number, since 2×543815117692 (a number of 22 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (54381511799) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3828809 + ... + 3842985.

It is an arithmetic number, because the mean of its divisors is an integer number (2594902457).

Almost surely, 254381511769 is an apocalyptic number.

It is an amenable number.

54381511769 is a deficient number, since it is larger than the sum of its proper divisors (7896147199).

54381511769 is a wasteful number, since it uses less digits than its factorization.

54381511769 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15245 (or 15228 counting only the distinct ones).

The product of its digits is 907200, while the sum is 50.

The spelling of 54381511769 in words is "fifty-four billion, three hundred eighty-one million, five hundred eleven thousand, seven hundred sixty-nine".

Divisors: 1 13 17 221 289 1021 3757 13273 14177 17357 184301 225641 241009 295069 3133117 3835897 4097153 14474717 53262989 188171321 246070189 3198912457 4183193213 54381511769