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211241399968 = 25171572473321
BaseRepresentation
bin1100010010111011110…
…1111111011010100000
3202012020202221222020101
43010232331333122200
511430110244244333
6241013140152144
721155521162564
oct3045675773240
9665222858211
10211241399968
11816502993a5
1234b34398654
1316bc6267931
14a31d06d6a4
1557652e967d
hex312ef7f6a0

211241399968 has 48 divisors (see below), whose sum is σ = 443150049384. Its totient is φ = 98774507520.

The previous prime is 211241399933. The next prime is 211241399969. The reversal of 211241399968 is 869993142112.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 210376334224 + 865065744 = 458668^2 + 29412^2 .

It is not an unprimeable number, because it can be changed into a prime (211241399969) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1151253 + ... + 1322068.

Almost surely, 2211241399968 is an apocalyptic number.

It is an amenable number.

211241399968 is an abundant number, since it is smaller than the sum of its proper divisors (231908649416).

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

211241399968 is a wasteful number, since it uses less digits than its factorization.

211241399968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2473505 (or 2473497 counting only the distinct ones).

The product of its digits is 1679616, while the sum is 55.

The spelling of 211241399968 in words is "two hundred eleven billion, two hundred forty-one million, three hundred ninety-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 16 17 32 34 68 136 157 272 314 544 628 1256 2512 2669 5024 5338 10676 21352 42704 85408 2473321 4946642 9893284 19786568 39573136 42046457 79146272 84092914 168185828 336371656 388311397 672743312 776622794 1345486624 1553245588 3106491176 6212982352 6601293749 12425964704 13202587498 26405174996 52810349992 105620699984 211241399968