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4053541464 = 2332721148963
BaseRepresentation
bin1111000110011100…
…0010001001011000
3101110111110020112100
43301213002021120
531300201311324
61510121243400
7202310351100
oct36147021130
911414406470
104053541464
1117a0133775
12951633560
134c7a49a5b
142a64d0200
1518acee4c9
hexf19c2258

4053541464 has 72 divisors (see below), whose sum is σ = 12770734860. Its totient is φ = 1158153696.

The previous prime is 4053541463. The next prime is 4053541543. The reversal of 4053541464 is 4641453504.

4053541464 is a `hidden beast` number, since 4 + 0 + 53 + 541 + 4 + 64 = 666.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4053541463) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 570954 + ... + 578009.

Almost surely, 24053541464 is an apocalyptic number.

It is an amenable number.

4053541464 is an abundant number, since it is smaller than the sum of its proper divisors (8717193396).

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

4053541464 is a wasteful number, since it uses less digits than its factorization.

4053541464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1148989 (or 1148975 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The square root of 4053541464 is about 63667.4285957899. The cubic root of 4053541464 is about 1594.4523316330.

Adding to 4053541464 its reverse (4641453504), we get a palindrome (8694994968).

The spelling of 4053541464 in words is "four billion, fifty-three million, five hundred forty-one thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 252 294 392 441 504 588 882 1176 1764 3528 1148963 2297926 3446889 4595852 6893778 8042741 9191704 10340667 13787556 16085482 20681334 24128223 27575112 32170964 41362668 48256446 56299187 64341928 72384669 82725336 96512892 112598374 144769338 168897561 193025784 225196748 289538676 337795122 450393496 506692683 579077352 675590244 1013385366 1351180488 2026770732 4053541464