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64057877312 = 26111311935867
BaseRepresentation
bin111011101010001001…
…011010001101000000
320010100022012022221112
4323222021122031000
52022142304033222
645232222342452
74425261654542
oct735211321500
9203308168845
1064057877312
1125192002380
12104b8a2aa28
13606b364620
143159791692
1519edb0bbe2
hexeea25a340

64057877312 has 112 divisors (see below), whose sum is σ = 149488379712. Its totient is φ = 26850324480.

The previous prime is 64057877287. The next prime is 64057877363. The reversal of 64057877312 is 21377875046.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10915403 + ... + 10921269.

It is an arithmetic number, because the mean of its divisors is an integer number (1334717676).

Almost surely, 264057877312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64057877312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74744189856).

64057877312 is an abundant number, since it is smaller than the sum of its proper divisors (85430502400).

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

64057877312 is a wasteful number, since it uses less digits than its factorization.

64057877312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7096 (or 7086 counting only the distinct ones).

The product of its (nonzero) digits is 1975680, while the sum is 50.

The spelling of 64057877312 in words is "sixty-four billion, fifty-seven million, eight hundred seventy-seven thousand, three hundred twelve".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 64 88 104 143 176 208 286 352 416 572 704 832 1144 1193 2288 2386 4576 4772 5867 9152 9544 11734 13123 15509 19088 23468 26246 31018 38176 46936 52492 62036 64537 76271 76352 93872 104984 124072 129074 152542 170599 187744 209968 248144 258148 305084 341198 375488 419936 496288 516296 610168 682396 838981 839872 992576 1032592 1220336 1364792 1677962 2065184 2440672 2729584 3355924 4130368 4881344 5459168 6711848 6999331 10918336 13423696 13998662 26847392 27997324 53694784 55994648 76992641 90991303 111989296 153985282 181982606 223978592 307970564 363965212 447957184 615941128 727930424 1000904333 1231882256 1455860848 2001808666 2463764512 2911721696 4003617332 4927529024 5823443392 8007234664 16014469328 32028938656 64057877312