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20381033988 = 2232779212959
BaseRepresentation
bin10010111110110011…
…011110011000000100
31221121101111210121200
4102332303132120010
5313220021041423
613210220142500
71321026634110
oct227663363004
957541453550
1020381033988
118709620547
123b49697a30
131bca608633
14db4b50740
157e4434d43
hex4becde604

20381033988 has 108 divisors (see below), whose sum is σ = 59637876480. Its totient is φ = 5748998112.

The previous prime is 20381033963. The next prime is 20381033989. The reversal of 20381033988 is 88933018302.

It is a super-2 number, since 2×203810339882 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (20381033989) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1566253 + ... + 1579211.

It is an arithmetic number, because the mean of its divisors is an integer number (552202560).

Almost surely, 220381033988 is an apocalyptic number.

20381033988 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20381033988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29818938240).

20381033988 is an abundant number, since it is smaller than the sum of its proper divisors (39256842492).

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

20381033988 is a wasteful number, since it uses less digits than its factorization.

20381033988 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13134 (or 13050 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 20381033988 in words is "twenty billion, three hundred eighty-one million, thirty-three thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 79 84 126 158 237 252 316 474 553 711 948 1106 1422 1659 2212 2844 3318 4977 6241 6636 9954 12482 12959 18723 19908 24964 25918 37446 38877 43687 51836 56169 74892 77754 87374 90713 112338 116631 131061 155508 174748 181426 224676 233262 262122 272139 362852 393183 466524 524244 544278 786366 816417 1023761 1088556 1572732 1632834 2047522 3071283 3265668 4095044 6142566 7166327 9213849 12285132 14332654 18427698 21498981 28665308 36855396 42997962 64496943 80877119 85995924 128993886 161754238 242631357 257987772 323508476 485262714 566139833 727894071 970525428 1132279666 1455788142 1698419499 2264559332 2911576284 3396838998 5095258497 6793677996 10190516994 20381033988