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241481161632 = 25329471845509
BaseRepresentation
bin1110000011100101100…
…1100001101110100000
3212002022020102000210010
43200321121201232200
512424023134133012
6302533535204520
723306062002204
oct3407131415640
9762266360703
10241481161632
1193458902967
123a973676740
1319a051c9229
14b98b28ab04
156434ed3c3c
hex3839661ba0

241481161632 has 96 divisors (see below), whose sum is σ = 669698668800. Its totient is φ = 76064457728.

The previous prime is 241481161619. The next prime is 241481161657. The reversal of 241481161632 is 236161184142.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

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, 791907 + ... + 1053602.

It is an arithmetic number, because the mean of its divisors is an integer number (6976027800).

Almost surely, 2241481161632 is an apocalyptic number.

It is an amenable number.

241481161632 is an abundant number, since it is smaller than the sum of its proper divisors (428217507168).

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

241481161632 is a wasteful number, since it uses less digits than its factorization.

241481161632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1845598 (or 1845590 counting only the distinct ones).

The product of its digits is 55296, while the sum is 39.

The spelling of 241481161632 in words is "two hundred forty-one billion, four hundred eighty-one million, one hundred sixty-one thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 47 48 58 87 94 96 116 141 174 188 232 282 348 376 464 564 696 752 928 1128 1363 1392 1504 2256 2726 2784 4089 4512 5452 8178 10904 16356 21808 32712 43616 65424 130848 1845509 3691018 5536527 7382036 11073054 14764072 22146108 29528144 44292216 53519761 59056288 86738923 88584432 107039522 160559283 173477846 177168864 214079044 260216769 321118566 346955692 428158088 520433538 642237132 693911384 856316176 1040867076 1284474264 1387822768 1712632352 2081734152 2515428767 2568948528 2775645536 4163468304 5030857534 5137897056 7546286301 8326936608 10061715068 15092572602 20123430136 30185145204 40246860272 60370290408 80493720544 120740580816 241481161632