Search a number
-
+
45473887788 = 22372347334973
BaseRepresentation
bin101010010110011101…
…000111011000101100
311100101011010211220020
4222112131013120230
51221112303402123
632520155122140
73166612445220
oct522635073054
9140334124806
1045473887788
1118315907a4a
128991143350
134399152a14
1422b5588780
1512b23497e3
hexa9674762c

45473887788 has 96 divisors (see below), whose sum is σ = 126588220416. Its totient is φ = 12422522112.

The previous prime is 45473887787. The next prime is 45473887847. The reversal of 45473887788 is 88778837454.

It is a happy number.

45473887788 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-5 number, since 5×454738877885 (a number of 54 digits) contains 55555 as substring.

It is a Harshad number since it is a multiple of its sum of digits (69).

It is not an unprimeable number, because it can be changed into a prime (45473887787) 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, 9141670 + ... + 9146642.

It is an arithmetic number, because the mean of its divisors is an integer number (1318627296).

Almost surely, 245473887788 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 45473887788, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63294110208).

45473887788 is an abundant number, since it is smaller than the sum of its proper divisors (81114332628).

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

45473887788 is a wasteful number, since it uses less digits than its factorization.

45473887788 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9743 (or 9741 counting only the distinct ones).

The product of its digits is 337182720, while the sum is 69.

The spelling of 45473887788 in words is "forty-five billion, four hundred seventy-three million, eight hundred eighty-seven thousand, seven hundred eighty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 23 28 42 46 69 84 92 138 161 276 322 483 644 966 1932 4733 4973 9466 9946 14199 14919 18932 19892 28398 29838 33131 34811 56796 59676 66262 69622 99393 104433 108859 114379 132524 139244 198786 208866 217718 228758 326577 343137 397572 417732 435436 457516 653154 686274 762013 800653 1306308 1372548 1524026 1601306 2286039 2401959 3048052 3202612 4572078 4803918 9144156 9607836 23537209 47074418 70611627 94148836 141223254 164760463 282446508 329520926 494281389 541355807 659041852 988562778 1082711614 1624067421 1977125556 2165423228 3248134842 3789490649 6496269684 7578981298 11368471947 15157962596 22736943894 45473887788