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5142606210 = 232579918237
BaseRepresentation
bin1001100101000010…
…11111000110000010
3111021101201110111200
410302201133012002
541013001344320
62210143522030
7241303301010
oct46241370602
914241643450
105142606210
1121a995a185
12bb62b9316
1363c56c271
1436adc38b0
15201725290
hex13285f182

5142606210 has 96 divisors (see below), whose sum is σ = 15298163712. Its totient is φ = 1174124160.

The previous prime is 5142606197. The next prime is 5142606229. The reversal of 5142606210 is 126062415.

5142606210 is a `hidden beast` number, since 5 + 1 + 42 + 606 + 2 + 10 = 666.

It is a super-2 number, since 2×51426062102 = 52892797262261128200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 620212 + ... + 628448.

It is an arithmetic number, because the mean of its divisors is an integer number (159355872).

Almost surely, 25142606210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5142606210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7649081856).

5142606210 is an abundant number, since it is smaller than the sum of its proper divisors (10155557502).

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

5142606210 is a wasteful number, since it uses less digits than its factorization.

5142606210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9248 (or 9245 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 5142606210 is about 71711.9669929643. The cubic root of 5142606210 is about 1726.0806738174.

Adding to 5142606210 its reverse (126062415), we get a palindrome (5268668625).

The spelling of 5142606210 in words is "five billion, one hundred forty-two million, six hundred six thousand, two hundred ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 315 630 991 1982 2973 4955 5946 6937 8237 8919 9910 13874 14865 16474 17838 20811 24711 29730 34685 41185 41622 44595 49422 57659 62433 69370 74133 82370 89190 104055 115318 123555 124866 148266 172977 208110 247110 288295 312165 345954 370665 518931 576590 624330 741330 864885 1037862 1729770 2594655 5189310 8162867 16325734 24488601 40814335 48977202 57140069 73465803 81628670 114280138 122443005 146931606 171420207 244886010 285700345 342840414 367329015 514260621 571400690 734658030 857101035 1028521242 1714202070 2571303105 5142606210