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1645494144 = 27371314673
BaseRepresentation
bin110001000010100…
…0011111110000000
311020200021202121120
41202011003332000
511332221303034
6431140352240
755530320010
oct14205037600
94220252546
101645494144
11774925118
1239b0a5680
13202ba4298
14118777c40
15996d8c49
hex62143f80

1645494144 has 128 divisors (see below), whose sum is σ = 5034458880. Its totient is φ = 466452480.

The previous prime is 1645494143. The next prime is 1645494187. The reversal of 1645494144 is 4414945461.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 1645494096 and 1645494105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1645494143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 349792 + ... + 354464.

It is an arithmetic number, because the mean of its divisors is an integer number (39331710).

Almost surely, 21645494144 is an apocalyptic number.

1645494144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1645494144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2517229440).

1645494144 is an abundant number, since it is smaller than the sum of its proper divisors (3388964736).

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

1645494144 is a wasteful number, since it uses less digits than its factorization.

1645494144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4828 (or 4816 counting only the distinct ones).

The product of its digits is 276480, while the sum is 42.

The square root of 1645494144 is about 40564.6908530066. The cubic root of 1645494144 is about 1180.5891303150.

The spelling of 1645494144 in words is "one billion, six hundred forty-five million, four hundred ninety-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 131 168 192 224 262 336 384 393 448 524 672 786 896 917 1048 1344 1572 1834 2096 2688 2751 3144 3668 4192 4673 5502 6288 7336 8384 9346 11004 12576 14019 14672 16768 18692 22008 25152 28038 29344 32711 37384 44016 50304 56076 58688 65422 74768 88032 98133 112152 117376 130844 149536 176064 196266 224304 261688 299072 352128 392532 448608 523376 598144 612163 785064 897216 1046752 1224326 1570128 1794432 1836489 2093504 2448652 3140256 3672978 4187008 4285141 4897304 6280512 7345956 8570282 9794608 12561024 12855423 14691912 17140564 19589216 25710846 29383824 34281128 39178432 51421692 58767648 68562256 78356864 102843384 117535296 137124512 205686768 235070592 274249024 411373536 548498048 822747072 1645494144