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4535000064 = 21032770297
BaseRepresentation
bin1000011100100111…
…01001110000000000
3102201001101212120100
410032103221300000
533241430000224
62030000442400
7220244602350
oct41623516000
912631355510
104535000064
111a17986741
12a66919400
1357370c5ba
1431041ab60
151b8203ac9
hex10e4e9c00

4535000064 has 132 divisors (see below), whose sum is σ = 14965600624. Its totient is φ = 1295695872.

The previous prime is 4535000059. The next prime is 4535000089. The reversal of 4535000064 is 4600005354.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29364 + ... + 99660.

Almost surely, 24535000064 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 4535000064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7482800312).

4535000064 is an abundant number, since it is smaller than the sum of its proper divisors (10430600560).

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

4535000064 is a wasteful number, since it uses less digits than its factorization.

4535000064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70330 (or 70309 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 4535000064 is about 67342.4091045160. The cubic root of 4535000064 is about 1655.2328589880.

The spelling of 4535000064 in words is "four billion, five hundred thirty-five million, sixty-four", and thus it is an aban number.

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 256 288 336 384 448 504 512 576 672 768 896 1008 1024 1152 1344 1536 1792 2016 2304 2688 3072 3584 4032 4608 5376 7168 8064 9216 10752 16128 21504 32256 64512 70297 140594 210891 281188 421782 492079 562376 632673 843564 984158 1124752 1265346 1476237 1687128 1968316 2249504 2530692 2952474 3374256 3936632 4428711 4499008 5061384 5904948 6748512 7873264 8857422 8998016 10122768 11809896 13497024 15746528 17714844 17996032 20245536 23619792 26994048 31493056 35429688 35992064 40491072 47239584 53988096 62986112 70859376 71984128 80982144 94479168 107976192 125972224 141718752 161964288 188958336 215952384 251944448 283437504 323928576 377916672 503888896 566875008 647857152 755833344 1133750016 1511666688 2267500032 4535000064