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71997000030 = 23256719959999
BaseRepresentation
bin100001100001101011…
…0110000100101011110
320212211121001112220200
41003003112300211132
52134422213000110
653024105324330
75126103255114
oct1030326604536
9225747045820
1071997000030
112859647a81a
1211b537966a6
136a350b1387
1436add2dab4
151d15ace6c0
hex10c35b095e

71997000030 has 96 divisors (see below), whose sum is σ = 190944000000. Its totient is φ = 18817292736.

The previous prime is 71996999989. The next prime is 71997000037. The reversal of 71997000030 is 3000079917.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71997000037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1169971 + ... + 1229969.

It is an arithmetic number, because the mean of its divisors is an integer number (1989000000).

Almost surely, 271997000030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71997000030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95472000000).

71997000030 is an abundant number, since it is smaller than the sum of its proper divisors (118946999970).

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

71997000030 is a wasteful number, since it uses less digits than its factorization.

71997000030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60278 (or 60275 counting only the distinct ones).

The product of its (nonzero) digits is 11907, while the sum is 36.

Adding to 71997000030 its reverse (3000079917), we get a palindrome (74997079947).

The spelling of 71997000030 in words is "seventy-one billion, nine hundred ninety-seven million, thirty", and thus it is an aban number.

Divisors: 1 2 3 5 6 9 10 15 18 30 45 67 90 134 199 201 335 398 402 597 603 670 995 1005 1194 1206 1791 1990 2010 2985 3015 3582 5970 6030 8955 13333 17910 26666 39999 59999 66665 79998 119997 119998 133330 179997 199995 239994 299995 359994 399990 539991 599985 599990 899985 1079982 1199970 1799970 2699955 4019933 5399910 8039866 11939801 12059799 20099665 23879602 24119598 35819403 36179397 40199330 59699005 60298995 71638806 72358794 107458209 119398010 120597990 179097015 180896985 214916418 358194030 361793970 537291045 799966667 1074582090 1599933334 2399900001 3999833335 4799800002 7199700003 7999666670 11999500005 14399400006 23999000010 35998500015 71997000030