Search a number
-
+
45716209500 = 223531341211271
BaseRepresentation
bin101010100100111001…
…011111111101011100
311101000001010001210110
4222210321133331130
51222111322201000
633000213010020
73205614240423
oct524471377534
9141001101713
1045716209500
111842a676925
128a3a323910
134407407550
1422d98262ba
1512c8763850
hexaa4e5ff5c

45716209500 has 384 divisors, whose sum is σ = 148103294976. Its totient is φ = 10886400000.

The previous prime is 45716209489. The next prime is 45716209501. The reversal of 45716209500 is 590261754.

It is a super-2 number, since 2×457162095002 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45716209501) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 168694365 + ... + 168694635.

It is an arithmetic number, because the mean of its divisors is an integer number (385685664).

Almost surely, 245716209500 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 45716209500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74051647488).

45716209500 is an abundant number, since it is smaller than the sum of its proper divisors (102387085476).

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

45716209500 is a wasteful number, since it uses less digits than its factorization.

45716209500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 558 (or 546 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 39.

The spelling of 45716209500 in words is "forty-five billion, seven hundred sixteen million, two hundred nine thousand, five hundred".