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38688128550 = 2335228657873
BaseRepresentation
bin100100000001111111…
…011111111000100110
310200212020112120012000
4210001333133320212
51113213130103200
625434552510130
72536504444461
oct440177377046
9120766476160
1038688128550
1115453492665
1275b86ab346
13385734bc76
141c3027a2d8
15101674e300
hex901fdfe26

38688128550 has 48 divisors (see below), whose sum is σ = 106607291280. Its totient is φ = 10316833920.

The previous prime is 38688128527. The next prime is 38688128569. The reversal of 38688128550 is 5582188683.

It is a happy number.

38688128550 is a `hidden beast` number, since 3 + 8 + 6 + 8 + 81 + 2 + 8 + 550 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14327587 + ... + 14330286.

It is an arithmetic number, because the mean of its divisors is an integer number (2220985235).

Almost surely, 238688128550 is an apocalyptic number.

38688128550 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

38688128550 is an abundant number, since it is smaller than the sum of its proper divisors (67919162730).

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

38688128550 is a wasteful number, since it uses less digits than its factorization.

38688128550 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28657894 (or 28657883 counting only the distinct ones).

The product of its (nonzero) digits is 3686400, while the sum is 54.

The spelling of 38688128550 in words is "thirty-eight billion, six hundred eighty-eight million, one hundred twenty-eight thousand, five hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 90 135 150 225 270 450 675 1350 28657873 57315746 85973619 143289365 171947238 257920857 286578730 429868095 515841714 716446825 773762571 859736190 1289604285 1432893650 1547525142 2149340475 2579208570 3868812855 4298680950 6448021425 7737625710 12896042850 19344064275 38688128550