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5141665280 = 2958922567
BaseRepresentation
bin1001100100111011…
…11001011000000000
3111021022221122210102
410302131321120000
541012231242110
62210111421532
7241262301533
oct46235713000
914238848712
105141665280
1121a9377254
12bb5b248a8
1363c2ccbbb
1436ac1aa1a
152015db5a5
hex132779600

5141665280 has 80 divisors (see below), whose sum is σ = 12467014560. Its totient is φ = 2033467392.

The previous prime is 5141665253. The next prime is 5141665303. The reversal of 5141665280 is 825661415.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 216557 + ... + 239123.

It is an arithmetic number, because the mean of its divisors is an integer number (155837682).

Almost surely, 25141665280 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 5141665280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6233507280).

5141665280 is an abundant number, since it is smaller than the sum of its proper divisors (7325349280).

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

5141665280 is an equidigital number, since it uses as much as digits as its factorization.

5141665280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22679 (or 22663 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 38.

The square root of 5141665280 is about 71705.4062118053. The cubic root of 5141665280 is about 1725.9753951522.

The spelling of 5141665280 in words is "five billion, one hundred forty-one million, six hundred sixty-five thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 89 128 160 178 256 320 356 445 512 640 712 890 1280 1424 1780 2560 2848 3560 5696 7120 11392 14240 22567 22784 28480 45134 45568 56960 90268 112835 113920 180536 225670 227840 361072 451340 722144 902680 1444288 1805360 2008463 2888576 3610720 4016926 5777152 7221440 8033852 10042315 11554304 14442880 16067704 20084630 28885760 32135408 40169260 57771520 64270816 80338520 128541632 160677040 257083264 321354080 514166528 642708160 1028333056 1285416320 2570832640 5141665280