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3645464496 = 243172317829
BaseRepresentation
bin1101100101001001…
…0101111110110000
3100102001120210011120
43121102111332300
524431214330441
61401422542240
7156223636242
oct33122257660
910361523146
103645464496
111600851483
12858a37980
1346133acab
14268226092
15165092966
hexd9495fb0

3645464496 has 120 divisors (see below), whose sum is σ = 10047667920. Its totient is φ = 1138692096.

The previous prime is 3645464491. The next prime is 3645464503. The reversal of 3645464496 is 6944645463.

It is a super-2 number, since 2×36454644962 = 26578822783193068032, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (3645464491) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4397010 + ... + 4397838.

It is an arithmetic number, because the mean of its divisors is an integer number (83730566).

Almost surely, 23645464496 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 3645464496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5023833960).

3645464496 is an abundant number, since it is smaller than the sum of its proper divisors (6402203424).

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

3645464496 is a wasteful number, since it uses less digits than its factorization.

3645464496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1191 (or 1168 counting only the distinct ones).

The product of its digits is 7464960, while the sum is 51.

The square root of 3645464496 is about 60377.6821019158. The cubic root of 3645464496 is about 1539.0437218239.

The spelling of 3645464496 in words is "three billion, six hundred forty-five million, four hundred sixty-four thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 204 272 289 317 408 578 634 816 829 867 951 1156 1268 1658 1734 1902 2312 2487 2536 3316 3468 3804 4624 4974 5072 5389 6632 6936 7608 9948 10778 13264 13872 14093 15216 16167 19896 21556 28186 32334 39792 42279 43112 56372 64668 84558 86224 91613 112744 129336 169116 183226 225488 239581 258672 262793 274839 338232 366452 479162 525586 549678 676464 718743 732904 788379 958324 1051172 1099356 1437486 1465808 1576758 1916648 2102344 2198712 2874972 3153516 3833296 4204688 4397424 4467481 5749944 6307032 8934962 11499888 12614064 13402443 17869924 26804886 35739848 53609772 71479696 75947177 107219544 151894354 214439088 227841531 303788708 455683062 607577416 911366124 1215154832 1822732248 3645464496