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5205705102 = 2321344949547
BaseRepresentation
bin1001101100100100…
…01100000110001110
3111102210110012220200
410312102030012032
541130130030402
62220320154330
7243000522543
oct46622140616
914383405820
105205705102
112231537324
1210134689a6
1364c6628a0
1437552abca
1520703b21c
hex13648c18e

5205705102 has 48 divisors (see below), whose sum is σ = 12173943600. Its totient is φ = 1598155776.

The previous prime is 5205705067. The next prime is 5205705143. The reversal of 5205705102 is 2015075025.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80293 + ... + 129839.

It is an arithmetic number, because the mean of its divisors is an integer number (253623825).

Almost surely, 25205705102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5205705102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6086971800).

5205705102 is an abundant number, since it is smaller than the sum of its proper divisors (6968238498).

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

5205705102 is a wasteful number, since it uses less digits than its factorization.

5205705102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50017 (or 50014 counting only the distinct ones).

The product of its (nonzero) digits is 3500, while the sum is 27.

The square root of 5205705102 is about 72150.5724301616. The cubic root of 5205705102 is about 1733.1115666065. Note that the first 3 decimals are identical.

The spelling of 5205705102 in words is "five billion, two hundred five million, seven hundred five thousand, one hundred two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 449 898 1347 2694 4041 5837 8082 11674 17511 35022 49547 52533 99094 105066 148641 297282 445923 644111 891846 1288222 1932333 3864666 5796999 11593998 22246603 44493206 66739809 133479618 200219427 289205839 400438854 578411678 867617517 1735235034 2602852551 5205705102