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6464640000128 = 27172970882353
BaseRepresentation
bin101111000010010101010…
…0100100010000010000000
3211220000100212200011012212
41132010222210202002000
51321404040320001003
621425451542441252
71235024543231102
oct136045244420200
924800325604185
106464640000128
112072702824662
12884a82a33228
1337b7c780c20b
14184c66b95572
15b3260628dd8
hex5e12a922080

6464640000128 has 32 divisors (see below), whose sum is σ = 13636350004860. Its totient is φ = 3042183528448.

The previous prime is 6464640000101. The next prime is 6464640000149. The reversal of 6464640000128 is 8210000464646.

It can be written as a sum of positive squares in 2 ways, for example, as 6317742574144 + 146897425984 = 2513512^2 + 383272^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1485439001 + ... + 1485443352.

Almost surely, 26464640000128 is an apocalyptic number.

6464640000128 is a gapful number since it is divisible by the number (68) formed by its first and last digit.

It is an amenable number.

6464640000128 is an abundant number, since it is smaller than the sum of its proper divisors (7171710004732).

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

6464640000128 is a wasteful number, since it uses less digits than its factorization.

6464640000128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2970882384 (or 2970882372 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 41.

The spelling of 6464640000128 in words is "six trillion, four hundred sixty-four billion, six hundred forty million, one hundred twenty-eight", and thus it is an aban number.

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 272 544 1088 2176 2970882353 5941764706 11883529412 23767058824 47534117648 50505000001 95068235296 101010000002 190136470592 202020000004 380272941184 404040000008 808080000016 1616160000032 3232320000064 6464640000128