Search a number
-
+
64182553378944 = 27371113367454973
BaseRepresentation
bin11101001011111101010100…
…10010111000000010000000
322102020210101111110201120120
432211332222102320002000
531403031332131111234
6344301020304540240
716343015335160250
oct1645765222700200
9272223344421516
1064182553378944
11194a5739168290
127247013321680
1329a75092b9c80
1411bc648a19960
157648074d8049
hex3a5faa4b8080

64182553378944 has 512 divisors, whose sum is σ = 229527030620160. Its totient is φ = 15346460344320.

The previous prime is 64182553378943. The next prime is 64182553379011. The reversal of 64182553378944 is 44987335528146.

It is not an unprimeable number, because it can be changed into a prime (64182553378943) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 140841442 + ... + 141296414.

It is an arithmetic number, because the mean of its divisors is an integer number (448294981680).

Almost surely, 264182553378944 is an apocalyptic number.

64182553378944 is a gapful number since it is divisible by the number (64) 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 64182553378944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114763515310080).

64182553378944 is an abundant number, since it is smaller than the sum of its proper divisors (165344477241216).

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

64182553378944 is a wasteful number, since it uses less digits than its factorization.

64182553378944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455388 (or 455376 counting only the distinct ones).

The product of its digits is 696729600, while the sum is 69.

The spelling of 64182553378944 in words is "sixty-four trillion, one hundred eighty-two billion, five hundred fifty-three million, three hundred seventy-eight thousand, nine hundred forty-four".