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212115661660 = 225731316133001
BaseRepresentation
bin1100010110001100010…
…1000010001101011100
3202021111201001001211001
43011203011002031130
511433403102133120
6241240010440044
721216265242520
oct3054305021534
9667451031731
10212115661660
1181a59841121
1235139133024
131700541c046
14a3a3209d80
1557b6e3ee0a
hex316314235c

212115661660 has 96 divisors (see below), whose sum is σ = 511190934912. Its totient is φ = 72423936000.

The previous prime is 212115661651. The next prime is 212115661663. The reversal of 212115661660 is 66166511212.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212115661663) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70680160 + ... + 70683160.

It is an arithmetic number, because the mean of its divisors is an integer number (5324905572).

Almost surely, 2212115661660 is an apocalyptic number.

212115661660 is a gapful number since it is divisible by the number (20) 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 212115661660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255595467456).

212115661660 is an abundant number, since it is smaller than the sum of its proper divisors (299075273252).

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

212115661660 is a wasteful number, since it uses less digits than its factorization.

212115661660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4943 (or 4941 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 37.

The spelling of 212115661660 in words is "two hundred twelve billion, one hundred fifteen million, six hundred sixty-one thousand, six hundred sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 313 626 1252 1565 1613 2191 3001 3130 3226 4382 6002 6260 6452 8065 8764 10955 11291 12004 15005 16130 21007 21910 22582 30010 32260 42014 43820 45164 56455 60020 84028 105035 112910 210070 225820 420140 504869 939313 1009738 1878626 2019476 2524345 3534083 3757252 4696565 4840613 5048690 6575191 7068166 9393130 9681226 10097380 13150382 14136332 17670415 18786260 19362452 24203065 26300764 32875955 33884291 35340830 48406130 65751910 67768582 70681660 96812260 131503820 135537164 169421455 338842910 677685820 1515111869 3030223738 6060447476 7575559345 10605783083 15151118690 21211566166 30302237380 42423132332 53028915415 106057830830 212115661660