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46543605332 = 22729197290963
BaseRepresentation
bin101011010110001101…
…110000111001010100
311110010201000010111112
4223112031300321110
51230310130332312
633214250554152
73235252055240
oct532615607124
9143121003445
1046543605332
1118814719634
12902b438958
13450995cc93
142377683420
1513261ecd22
hexad6370e54

46543605332 has 48 divisors (see below), whose sum is σ = 96786264960. Its totient is φ = 19161593472.

The previous prime is 46543605331. The next prime is 46543605373. The reversal of 46543605332 is 23350634564.

46543605332 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 46543605332.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46543605331) 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, 14483 + ... + 305445.

It is an arithmetic number, because the mean of its divisors is an integer number (2016380520).

Almost surely, 246543605332 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 46543605332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48393132480).

46543605332 is an abundant number, since it is smaller than the sum of its proper divisors (50242659628).

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

46543605332 is a wasteful number, since it uses less digits than its factorization.

46543605332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291200 (or 291198 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 41.

The spelling of 46543605332 in words is "forty-six billion, five hundred forty-three million, six hundred five thousand, three hundred thirty-two".

Divisors: 1 2 4 7 14 28 29 58 116 197 203 394 406 788 812 1379 2758 5516 5713 11426 22852 39991 79982 159964 290963 581926 1163852 2036741 4073482 8146964 8437927 16875854 33751708 57319711 59065489 114639422 118130978 229278844 236261956 401237977 802475954 1604951908 1662271619 3324543238 6649086476 11635901333 23271802666 46543605332