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74498427136 = 287224372
BaseRepresentation
bin100010101100001110…
…0111100100100000000
321010021220221012211001
41011120130330210000
52210033044132021
654120223501344
75245066116400
oct1053034744400
9233256835731
1074498427136
112965a468a51
1212531457854
1370433c0263
14386a232800
151e104dd091
hex115873c900

74498427136 has 81 divisors (see below), whose sum is σ = 173055361689. Its totient is φ = 31914796032.

The previous prime is 74498427119. The next prime is 74498427163. The reversal of 74498427136 is 63172489447.

The square root of 74498427136 is 272944.

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

It can be written as a sum of positive squares in only one way, i.e., 70161414400 + 4337012736 = 264880^2 + 65856^2 .

It is a super-3 number, since 3×744984271363 (a number of 34 digits) contains 333 as substring.

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, 30568510 + ... + 30570946.

Almost surely, 274498427136 is an apocalyptic number.

74498427136 is the 272944-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74498427136

74498427136 is an abundant number, since it is smaller than the sum of its proper divisors (98556934553).

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

74498427136 is an frugal number, since it uses more digits than its factorization.

74498427136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4904 (or 2446 counting only the distinct ones).

The product of its digits is 8128512, while the sum is 55.

The spelling of 74498427136 in words is "seventy-four billion, four hundred ninety-eight million, four hundred twenty-seven thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 392 448 784 896 1568 1792 2437 3136 4874 6272 9748 12544 17059 19496 34118 38992 68236 77984 119413 136472 155968 238826 272944 311936 477652 545888 623872 955304 1091776 1910608 2183552 3821216 4367104 5938969 7642432 11877938 15284864 23755876 30569728 41572783 47511752 83145566 95023504 166291132 190047008 291009481 332582264 380094016 582018962 665164528 760188032 1164037924 1330329056 1520376064 2328075848 2660658112 4656151696 5321316224 9312303392 10642632448 18624606784 37249213568 74498427136