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4561632361 = 1121331139673
BaseRepresentation
bin1000011111110010…
…01111110001101001
3102202220111221012201
410033321033301221
533320234213421
62032351340201
7221020143466
oct41771176151
912686457181
104561632361
111a30a16a00
12a73821661
135790a5760
14313b9066d
151ba714b91
hex10fe4fc69

4561632361 has 48 divisors (see below), whose sum is σ = 5622346240. Its totient is φ = 3672345600.

The previous prime is 4561632359. The next prime is 4561632371. The reversal of 4561632361 is 1632361654.

It is not a de Polignac number, because 4561632361 - 21 = 4561632359 is a prime.

It is an alternating number because its digits alternate between even and odd.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 4561632361.

It is not an unprimeable number, because it can be changed into a prime (4561632301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6777721 + ... + 6778393.

Almost surely, 24561632361 is an apocalyptic number.

It is an amenable number.

4561632361 is a deficient number, since it is larger than the sum of its proper divisors (1060713879).

4561632361 is a wasteful number, since it uses less digits than its factorization.

4561632361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 878 (or 867 counting only the distinct ones).

The product of its digits is 77760, while the sum is 37.

The square root of 4561632361 is about 67539.8575731397. The cubic root of 4561632361 is about 1658.4667170902.

It can be divided in two parts, 45616 and 32361, that added together give a palindrome (77977).

The spelling of 4561632361 in words is "four billion, five hundred sixty-one million, six hundred thirty-two thousand, three hundred sixty-one".

Divisors: 1 11 13 31 121 139 143 341 403 673 1529 1573 1807 3751 4309 4433 7403 8749 16819 19877 20863 47399 48763 56017 81433 93547 96239 218647 229493 271219 521389 616187 1029017 1058629 1216111 2524423 2899957 2983409 6778057 11319187 13377221 31899527 32817499 37699441 147149431 350894797 414693851 4561632361