Search a number
-
+
64263142144 = 281714999103
BaseRepresentation
bin111011110110011000…
…011011101100000000
320010212121102212100201
4323312120123230000
52023102331022034
645304434054544
74433333460355
oct736630335400
9203777385321
1064263142144
1125287960933
121055571a454
1360a1a430c6
143178b4462c
151a11b56014
hexef661bb00

64263142144 has 72 divisors (see below), whose sum is σ = 136733788800. Its totient is φ = 30038212608.

The previous prime is 64263142121. The next prime is 64263142169. The reversal of 64263142144 is 44124136246.

64263142144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 598897 + ... + 697999.

It is an arithmetic number, because the mean of its divisors is an integer number (1899080400).

Almost surely, 264263142144 is an apocalyptic number.

64263142144 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 64263142144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68366894400).

64263142144 is an abundant number, since it is smaller than the sum of its proper divisors (72470646656).

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

64263142144 is a wasteful number, since it uses less digits than its factorization.

64263142144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99285 (or 99271 counting only the distinct ones).

The product of its digits is 110592, while the sum is 37.

The spelling of 64263142144 in words is "sixty-four billion, two hundred sixty-three million, one hundred forty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 149 256 272 298 544 596 1088 1192 2176 2384 2533 4352 4768 5066 9536 10132 19072 20264 38144 40528 81056 99103 162112 198206 324224 396412 648448 792824 1585648 1684751 3171296 3369502 6342592 6739004 12685184 13478008 14766347 25370368 26956016 29532694 53912032 59065388 107824064 118130776 215648128 236261552 251027899 431296256 472523104 502055798 945046208 1004111596 1890092416 2008223192 3780184832 4016446384 8032892768 16065785536 32131571072 64263142144