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38918812050 = 23252318333613
BaseRepresentation
bin100100001111101111…
…011111000110010010
310201110022121111110100
4210033233133012102
51114201203441200
625513513113230
72545305305226
oct441757370622
9121408544410
1038918812050
1115561722588
1276619b8816
13389308a391
141c52b68786
15102bb19d00
hex90fbdf192

38918812050 has 144 divisors (see below), whose sum is σ = 109238508288. Its totient is φ = 9922262400.

The previous prime is 38918812043. The next prime is 38918812061. The reversal of 38918812050 is 5021881983.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 38918811987 and 38918812005.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1141044 + ... + 1174656.

It is an arithmetic number, because the mean of its divisors is an integer number (758600752).

Almost surely, 238918812050 is an apocalyptic number.

38918812050 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 38918812050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54619254144).

38918812050 is an abundant number, since it is smaller than the sum of its proper divisors (70319696238).

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

38918812050 is a wasteful number, since it uses less digits than its factorization.

38918812050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33745 (or 33737 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The spelling of 38918812050 in words is "thirty-eight billion, nine hundred eighteen million, eight hundred twelve thousand, fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 31 45 50 62 75 83 90 93 150 155 166 186 225 249 279 310 415 450 465 498 558 747 775 830 930 1245 1395 1494 1550 2075 2325 2490 2573 2790 3735 4150 4650 5146 6225 6975 7470 7719 12450 12865 13950 15438 18675 23157 25730 33613 37350 38595 46314 64325 67226 77190 100839 115785 128650 168065 192975 201678 231570 302517 336130 385950 504195 578925 605034 840325 1008390 1042003 1157850 1512585 1680650 2084006 2520975 2789879 3025170 3126009 5041950 5210015 5579758 6252018 7562925 8369637 9378027 10420030 13949395 15125850 15630045 16739274 18756054 25108911 26050075 27898790 31260090 41848185 46890135 50217822 52100150 69746975 78150225 83696370 86486249 93780270 125544555 139493950 156300450 172972498 209240925 234450675 251089110 259458747 418481850 432431245 468901350 518917494 627722775 778376241 864862490 1255445550 1297293735 1556752482 2162156225 2594587470 3891881205 4324312450 6486468675 7783762410 12972937350 19459406025 38918812050