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5214135104 = 2667218149
BaseRepresentation
bin1001101101100100…
…10110001101000000
3111110101022111200222
410312302112031000
541134304310404
62221221002212
7243132263033
oct46662261500
914411274628
105214135104
112236274972
121016253368
13651324959
143766c301a
15207b53dbe
hex136c96340

5214135104 has 42 divisors (see below), whose sum is σ = 10504112850. Its totient is φ = 2568014592.

The previous prime is 5214135103. The next prime is 5214135109. The reversal of 5214135104 is 4015314125.

It can be written as a sum of positive squares in only one way, i.e., 4000309504 + 1213825600 = 63248^2 + 34840^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5214135103) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 278222 + ... + 296370.

It is an arithmetic number, because the mean of its divisors is an integer number (250097925).

Almost surely, 25214135104 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 5214135104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5252056425).

5214135104 is an abundant number, since it is smaller than the sum of its proper divisors (5289977746).

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

5214135104 is an equidigital number, since it uses as much as digits as its factorization.

5214135104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18295 (or 18218 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 26.

The square root of 5214135104 is about 72208.9683072678. The cubic root of 5214135104 is about 1734.0465827303.

Adding to 5214135104 its reverse (4015314125), we get a palindrome (9229449229).

The spelling of 5214135104 in words is "five billion, two hundred fourteen million, one hundred thirty-five thousand, one hundred four".

Divisors: 1 2 4 8 16 32 64 67 134 268 536 1072 2144 4288 4489 8978 17956 18149 35912 36298 71824 72596 143648 145192 287296 290384 580768 1161536 1215983 2431966 4863932 9727864 19455728 38911456 77822912 81470861 162941722 325883444 651766888 1303533776 2607067552 5214135104