Search a number
-
+
45445860385640 = 235111353733076689
BaseRepresentation
bin10100101010101001100000…
…10111010110001101101000
312221220120201011000110222222
422111110300113112031220
521424041110224320030
6240353312352133212
712400232533413131
oct1225246027261550
9187816634013888
1045445860385640
1113531532464490
12511b866837208
131c486ac214710
14b3183ca5ac88
1553c2400793e5
hex2955305d6368

45445860385640 has 512 divisors, whose sum is σ = 124495629350400. Its totient is φ = 14711425597440.

The previous prime is 45445860385637. The next prime is 45445860385649. The reversal of 45445860385640 is 4658306854454.

It is not an unprimeable number, because it can be changed into a prime (45445860385649) 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, 6794115416 + ... + 6794122104.

It is an arithmetic number, because the mean of its divisors is an integer number (243155526075).

Almost surely, 245445860385640 is an apocalyptic number.

45445860385640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45445860385640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62247814675200).

45445860385640 is an abundant number, since it is smaller than the sum of its proper divisors (79049768964760).

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

45445860385640 is a wasteful number, since it uses less digits than its factorization.

45445860385640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7157 (or 7153 counting only the distinct ones).

The product of its (nonzero) digits is 221184000, while the sum is 62.

The spelling of 45445860385640 in words is "forty-five trillion, four hundred forty-five billion, eight hundred sixty million, three hundred eighty-five thousand, six hundred forty".