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5465850432 = 2637382997
BaseRepresentation
bin1010001011100101…
…00100001001000000
3112002220221222012220
411011302210021000
542143224203212
62302212051040
7252306651000
oct50562441100
915086858186
105465850432
11235536a369
121086603a80
13691518033
1439bcc8000
1521ecc638c
hex145ca4240

5465850432 has 112 divisors (see below), whose sum is σ = 16865193600. Its totient is φ = 1561652736.

The previous prime is 5465850407. The next prime is 5465850437. The reversal of 5465850432 is 2340585645.

It is a tau number, because it is divible by the number of its divisors (112).

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

It is not an unprimeable number, because it can be changed into a prime (5465850437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24358 + ... + 107354.

Almost surely, 25465850432 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 5465850432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8432596800).

5465850432 is an abundant number, since it is smaller than the sum of its proper divisors (11399343168).

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

5465850432 is an equidigital number, since it uses as much as digits as its factorization.

5465850432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83033 (or 83009 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 42.

The square root of 5465850432 is about 73931.3900315691. The cubic root of 5465850432 is about 1761.5132508731.

The spelling of 5465850432 in words is "five billion, four hundred sixty-five million, eight hundred fifty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 147 168 192 196 224 294 336 343 392 448 588 672 686 784 1029 1176 1344 1372 1568 2058 2352 2744 3136 4116 4704 5488 8232 9408 10976 16464 21952 32928 65856 82997 165994 248991 331988 497982 580979 663976 995964 1161958 1327952 1742937 1991928 2323916 2655904 3485874 3983856 4066853 4647832 5311808 6971748 7967712 8133706 9295664 12200559 13943496 15935424 16267412 18591328 24401118 27886992 28467971 32534824 37182656 48802236 55773984 56935942 65069648 85403913 97604472 111547968 113871884 130139296 170807826 195208944 227743768 260278592 341615652 390417888 455487536 683231304 780835776 910975072 1366462608 1821950144 2732925216 5465850432