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5845142016 = 29327181211
BaseRepresentation
bin1010111000110010…
…11100101000000000
3120002100122222110100
411130121130220000
543432324021031
62404001402400
7264563613240
oct53431345000
916070588410
105845142016
11252a48078a
121171639400
13721c8891c
143d641bb20
15243248de6
hex15c65ca00

5845142016 has 120 divisors (see below), whose sum is σ = 19279507104. Its totient is φ = 1670031360.

The previous prime is 5845141997. The next prime is 5845142071. The reversal of 5845142016 is 6102415485.

It is a happy number.

5845142016 is a `hidden beast` number, since 584 + 51 + 4 + 20 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 58350 + ... + 122861.

Almost surely, 25845142016 is an apocalyptic number.

5845142016 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

5845142016 is an abundant number, since it is smaller than the sum of its proper divisors (13434365088).

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

5845142016 is a wasteful number, since it uses less digits than its factorization.

5845142016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181242 (or 181223 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 5845142016 is about 76453.5284731843. The cubic root of 5845142016 is about 1801.3510449375.

The spelling of 5845142016 in words is "five billion, eight hundred forty-five million, one hundred forty-two thousand, sixteen".

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 1152 1344 1536 1792 2016 2304 2688 3584 4032 4608 5376 8064 10752 16128 32256 181211 362422 543633 724844 1087266 1268477 1449688 1630899 2174532 2536954 2899376 3261798 3805431 4349064 5073908 5798752 6523596 7610862 8698128 10147816 11416293 11597504 13047192 15221724 17396256 20295632 22832586 23195008 26094384 30443448 34792512 40591264 45665172 46390016 52188768 60886896 69585024 81182528 91330344 92780032 104377536 121773792 139170048 162365056 182660688 208755072 243547584 278340096 324730112 365321376 417510144 487095168 649460224 730642752 835020288 974190336 1461285504 1948380672 2922571008 5845142016