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64449094446 = 233111011074259
BaseRepresentation
bin111100000001011101…
…110010001100101110
320011100120100012222000
4330001131302030232
52023442432010241
645335115433130
74441052156352
oct740135621456
9204316305860
1064449094446
1125372919620
12105a7a557a6
13610141c359
14319570b462
151a23137eb6
hexf0177232e

64449094446 has 64 divisors (see below), whose sum is σ = 157787308800. Its totient is φ = 19336644000.

The previous prime is 64449094441. The next prime is 64449094469.

64449094446 is a `hidden beast` number, since 64 + 4 + 490 + 94 + 4 + 4 + 6 = 666.

64449094446 is nontrivially palindromic in base 10.

64449094446 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 64449094392 and 64449094401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64449094441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 477136 + ... + 597123.

It is an arithmetic number, because the mean of its divisors is an integer number (2465426700).

Almost surely, 264449094446 is an apocalyptic number.

64449094446 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

64449094446 is an abundant number, since it is smaller than the sum of its proper divisors (93338214354).

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

64449094446 is a wasteful number, since it uses less digits than its factorization.

64449094446 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1074382 (or 1074376 counting only the distinct ones).

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

The spelling of 64449094446 in words is "sixty-four billion, four hundred forty-nine million, ninety-four thousand, four hundred forty-six".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 101 198 202 297 303 594 606 909 1111 1818 2222 2727 3333 5454 6666 9999 19998 29997 59994 1074259 2148518 3222777 6445554 9668331 11816849 19336662 23633698 29004993 35450547 58009986 70901094 106351641 108500159 212703282 217000318 319054923 325500477 638109846 651000954 976501431 1193501749 1953002862 2387003498 2929504293 3580505247 5859008586 7161010494 10741515741 21483031482 32224547223 64449094446