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5211719040 = 2735112310729
BaseRepresentation
bin1001101101010010…
…01000010110000000
3111110012202202111010
410312221020112000
541133200002130
62221053120520
7243102611103
oct46651102600
914405682433
105211719040
112234974720
121015489140
1365098a028
1437625473a
152078280b0
hex136a48580

5211719040 has 256 divisors, whose sum is σ = 18912268800. Its totient is φ = 1208401920.

The previous prime is 5211718999. The next prime is 5211719047. The reversal of 5211719040 is 409171125.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 5211718989 and 5211719007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5211719047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 480396 + ... + 491124.

It is an arithmetic number, because the mean of its divisors is an integer number (73876050).

Almost surely, 25211719040 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 5211719040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9456134400).

5211719040 is an abundant number, since it is smaller than the sum of its proper divisors (13700549760).

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

5211719040 is a wasteful number, since it uses less digits than its factorization.

5211719040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10785 (or 10773 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 30.

The square root of 5211719040 is about 72192.2367017396. The cubic root of 5211719040 is about 1733.7787073806.

The spelling of 5211719040 in words is "five billion, two hundred eleven million, seven hundred nineteen thousand, forty".