Search a number
-
+
5761034664 = 23372111722367
BaseRepresentation
bin1010101110110001…
…00110100110101000
3112212111101212212020
411113120212212220
543244311102124
62351354544440
7262522662300
oct52730464650
915774355766
105761034664
112496a54680
121149438120
1370a71ab68
143c91a6600
1523ab83379
hex1576269a8

5761034664 has 576 divisors, whose sum is σ = 20562024960. Its totient is φ = 1327011840.

The previous prime is 5761034663. The next prime is 5761034683. The reversal of 5761034664 is 4664301675.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (5761034663) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 85985559 + ... + 85985625.

It is an arithmetic number, because the mean of its divisors is an integer number (35697960).

Almost surely, 25761034664 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 5761034664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10281012480).

5761034664 is an abundant number, since it is smaller than the sum of its proper divisors (14800990296).

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

5761034664 is a wasteful number, since it uses less digits than its factorization.

5761034664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 42.

The square root of 5761034664 is about 75901.4799855708. The cubic root of 5761034664 is about 1792.6692243302.

The spelling of 5761034664 in words is "five billion, seven hundred sixty-one million, thirty-four thousand, six hundred sixty-four".