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36482093856 = 2532139744149
BaseRepresentation
bin100001111110100000…
…001001001100100000
310111011111111101111100
4201332200021030200
51044203404000411
624432025514400
72431026452445
oct417640111440
9114144441440
1036482093856
111452121109a
1270a1942a00
1335952b68b0
141aa12ab9cc
15e37c3e456
hex87e809320

36482093856 has 72 divisors (see below), whose sum is σ = 111726423900. Its totient is φ = 11225258496.

The previous prime is 36482093833. The next prime is 36482093941. The reversal of 36482093856 is 65839028463.

It can be written as a sum of positive squares in 2 ways, for example, as 33291651600 + 3190442256 = 182460^2 + 56484^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4868331 + ... + 4875818.

Almost surely, 236482093856 is an apocalyptic number.

36482093856 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

36482093856 is an abundant number, since it is smaller than the sum of its proper divisors (75244330044).

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

36482093856 is a wasteful number, since it uses less digits than its factorization.

36482093856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9744178 (or 9744167 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 36482093856 in words is "thirty-six billion, four hundred eighty-two million, ninety-three thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 468 624 936 1248 1872 3744 9744149 19488298 29232447 38976596 58464894 77953192 87697341 116929788 126673937 155906384 175394682 233859576 253347874 311812768 350789364 380021811 467719152 506695748 701578728 760043622 935438304 1013391496 1140065433 1403157456 1520087244 2026782992 2280130866 2806314912 3040174488 4053565984 4560261732 6080348976 9120523464 12160697952 18241046928 36482093856