Search a number
-
+
45213464845780 = 22571147792101991
BaseRepresentation
bin10100100011111000101001…
…00000101101110111010100
312221002100212002210212012221
422101330110200231313110
521411234134000031110
6240054440133152124
712344364544051060
oct1221742440556724
9187070762725187
1045213464845780
1113451a17213750
1250a2809a8b644
131c2c7c444695a
14b244b4312aa0
1553618ca367da
hex291f1482ddd4

45213464845780 has 576 divisors, whose sum is σ = 123782541410304. Its totient is φ = 13469639040000.

The previous prime is 45213464845753. The next prime is 45213464845817. The reversal of 45213464845780 is 8754846431254.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 45624081085 + ... + 45624082075.

It is an arithmetic number, because the mean of its divisors is an integer number (214900245504).

Almost surely, 245213464845780 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 45213464845780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61891270705152).

45213464845780 is an abundant number, since it is smaller than the sum of its proper divisors (78569076564524).

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

45213464845780 is a wasteful number, since it uses less digits than its factorization.

45213464845780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1324 (or 1243 counting only the distinct ones).

The product of its (nonzero) digits is 103219200, while the sum is 61.

The spelling of 45213464845780 in words is "forty-five trillion, two hundred thirteen billion, four hundred sixty-four million, eight hundred forty-five thousand, seven hundred eighty".