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46545454564 = 22722776611297
BaseRepresentation
bin101011010110010100…
…110100010111100100
311110010211111002011121
4223112110310113210
51230311114021224
633214354343324
73235303556500
oct532624642744
9143124432147
1046545454564
1118815771a24
12902bb8ab44
13450a1598bb
142377a05300
151326465be4
hexad65345e4

46545454564 has 72 divisors (see below), whose sum is σ = 95312612472. Its totient is φ = 19830666240.

The previous prime is 46545454541. The next prime is 46545454567.

46545454564 is nontrivially palindromic in base 10.

46545454564 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 20983840164 + 25561614400 = 144858^2 + 159880^2 .

It is not an unprimeable number, because it can be changed into a prime (46545454567) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35886364 + ... + 35887660.

Almost surely, 246545454564 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 46545454564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47656306236).

46545454564 is an abundant number, since it is smaller than the sum of its proper divisors (48767157908).

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

46545454564 is a wasteful number, since it uses less digits than its factorization.

46545454564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2253 (or 2244 counting only the distinct ones).

The product of its digits is 23040000, while the sum is 52.

The spelling of 46545454564 in words is "forty-six billion, five hundred forty-five million, four hundred fifty-four thousand, five hundred sixty-four".

Divisors: 1 2 4 7 14 28 49 98 196 277 554 661 1108 1297 1322 1939 2594 2644 3878 4627 5188 7756 9079 9254 13573 18158 18508 27146 32389 36316 54292 63553 64778 127106 129556 183097 254212 359269 366194 718538 732388 857317 1281679 1437076 1714634 2514883 2563358 3429268 5029766 5126716 6001219 8971753 10059532 12002438 17604181 17943506 24004876 35208362 35887012 42008533 70416724 84017066 168034132 237476809 474953618 949907236 1662337663 3324675326 6649350652 11636363641 23272727282 46545454564