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30127207640 = 2355318897523
BaseRepresentation
bin11100000011101110…
…001011010011011000
32212202121122201110012
4130003232023103120
5443200031121030
621501254341052
72114403016415
oct340356132330
985677581405
1030127207640
1111860029012
125a0965a788
132ac18438aa
14165b2bd10c
15bb4da5095
hex703b8b4d8

30127207640 has 64 divisors (see below), whose sum is σ = 69110949600. Its totient is φ = 11815677952.

The previous prime is 30127207637. The next prime is 30127207667. The reversal of 30127207640 is 4670272103.

It is a junction number, because it is equal to n+sod(n) for n = 30127207597 and 30127207606.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 4000919 + ... + 4008441.

Almost surely, 230127207640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30127207640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34555474800).

30127207640 is an abundant number, since it is smaller than the sum of its proper divisors (38983741960).

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

30127207640 is a wasteful number, since it uses less digits than its factorization.

30127207640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9476 (or 9472 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 32.

Adding to 30127207640 its reverse (4670272103), we get a palindrome (34797479743).

The spelling of 30127207640 in words is "thirty billion, one hundred twenty-seven million, two hundred seven thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 20 40 53 106 212 265 424 530 1060 1889 2120 3778 7523 7556 9445 15046 15112 18890 30092 37615 37780 60184 75230 75560 100117 150460 200234 300920 398719 400468 500585 797438 800936 1001170 1594876 1993595 2002340 3189752 3987190 4004680 7974380 14210947 15948760 28421894 56843788 71054735 113687576 142109470 284218940 568437880 753180191 1506360382 3012720764 3765900955 6025441528 7531801910 15063603820 30127207640