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64669244421600 = 25345273132337263
BaseRepresentation
bin11101011010000111110110…
…10101110111010111100000
322110222022121211112100120000
432231003323111313113200
531434020103032442400
6345312350223020000
716423125106605000
oct1655037325672740
9273868554470500
1064669244421600
1119673088609085
1273053bb13a600
132a1138c050150
1411d801844c000
157722de9db600
hex3ad0fb5775e0

64669244421600 has 5760 divisors, whose sum is σ = 318621006950400. Its totient is φ = 12650240655360.

The previous prime is 64669244421599. The next prime is 64669244421601. The reversal of 64669244421600 is 612444296646.

64669244421600 is a `hidden beast` number, since 6 + 4 + 6 + 6 + 9 + 2 + 4 + 4 + 4 + 21 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (64669244421599) and next prime (64669244421601).

It is a super-3 number, since 3×646692444216003 (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64669244421601) by changing a digit.

It is a polite number, since it can be written in 959 ways as a sum of consecutive naturals, for example, 245890663069 + ... + 245890663331.

It is an arithmetic number, because the mean of its divisors is an integer number (55316147040).

Almost surely, 264669244421600 is an apocalyptic number.

64669244421600 is a gapful number since it is divisible by the number (60) 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 64669244421600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159310503475200).

64669244421600 is an abundant number, since it is smaller than the sum of its proper divisors (253951762528800).

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

64669244421600 is a wasteful number, since it uses less digits than its factorization.

64669244421600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 54.

The spelling of 64669244421600 in words is "sixty-four trillion, six hundred sixty-nine billion, two hundred forty-four million, four hundred twenty-one thousand, six hundred".