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36484056064 = 2104721272
BaseRepresentation
bin100001111110100111…
…101000010000000000
310111011122012002010201
4201332213220100000
51044204404243224
624432135534544
72431052234251
oct417647502000
9114148162121
1036484056064
1114522331355
1270a252a454
133595822a71
141aa165cb28
15e37ecaa44
hex87e9e8400

36484056064 has 99 divisors (see below), whose sum is σ = 75108624303. Its totient is φ = 17713317888.

The previous prime is 36484056047. The next prime is 36484056079. The reversal of 36484056064 is 46065048463.

The square root of 36484056064 is 191008.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 287275969 + ... + 287276095.

Almost surely, 236484056064 is an apocalyptic number.

36484056064 is the 191008-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36484056064

36484056064 is an abundant number, since it is smaller than the sum of its proper divisors (38624568239).

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

36484056064 is an frugal number, since it uses more digits than its factorization.

36484056064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 46.

The spelling of 36484056064 in words is "thirty-six billion, four hundred eighty-four million, fifty-six thousand, sixty-four".

Divisors: 1 2 4 8 16 32 47 64 94 127 128 188 254 256 376 508 512 752 1016 1024 1504 2032 2209 3008 4064 4418 5969 6016 8128 8836 11938 12032 16129 16256 17672 23876 24064 32258 32512 35344 47752 48128 64516 65024 70688 95504 129032 130048 141376 191008 258064 280543 282752 382016 516128 561086 565504 758063 764032 1032256 1122172 1131008 1516126 1528064 2064512 2244344 2262016 3032252 3056128 4129024 4488688 6064504 6112256 8258048 8977376 12129008 16516096 17954752 24258016 35628961 35909504 48516032 71257922 71819008 97032064 142515844 143638016 194064128 285031688 287276032 388128256 570063376 776256512 1140126752 2280253504 4560507008 9121014016 18242028032 36484056064