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212088082528 = 25722910973769
BaseRepresentation
bin1100010110000101101…
…1110101000001100000
3202021102210010220100201
43011201123311001200
511433324022120103
6241233143354544
721215511646060
oct3054133650140
9667383126321
10212088082528
1181a45214553
123512ba52a54
1316ccc7b3c2a
14a39d6ab3a0
1557b47e351d
hex31616f5060

212088082528 has 96 divisors (see below), whose sum is σ = 479846203200. Its totient is φ = 90391486464.

The previous prime is 212088082511. The next prime is 212088082573. The reversal of 212088082528 is 825280880212.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56269828 + ... + 56273596.

It is an arithmetic number, because the mean of its divisors is an integer number (4998397950).

Almost surely, 2212088082528 is an apocalyptic number.

212088082528 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 212088082528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239923101600).

212088082528 is an abundant number, since it is smaller than the sum of its proper divisors (267758120672).

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

212088082528 is a wasteful number, since it uses less digits than its factorization.

212088082528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5112 (or 5104 counting only the distinct ones).

The product of its (nonzero) digits is 327680, while the sum is 46.

The spelling of 212088082528 in words is "two hundred twelve billion, eighty-eight million, eighty-two thousand, five hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 229 458 916 1097 1603 1832 2194 3206 3664 3769 4388 6412 7328 7538 7679 8776 12824 15076 15358 17552 25648 26383 30152 30716 35104 51296 52766 60304 61432 105532 120608 122864 211064 245728 251213 422128 502426 844256 863101 1004852 1726202 1758491 2009704 3452404 3516982 4019408 4134593 6041707 6904808 7033964 8038816 8269186 12083414 13809616 14067928 16538372 24166828 27619232 28135856 28942151 33076744 48333656 56271712 57884302 66153488 96667312 115768604 132306976 193334624 231537208 463074416 926148832 946821797 1893643594 3787287188 6627752579 7574574376 13255505158 15149148752 26511010316 30298297504 53022020632 106044041264 212088082528