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45016061211 = 32113722435479
BaseRepresentation
bin101001111011001010…
…101001010100011011
311022012020122211220100
4221323022221110123
51214143102424321
632402522230443
73152353130652
oct517312512433
9138166584810
1045016061211
1118100436080
128883955423
134325345814
142270850199
151287062326
hexa7b2a951b

45016061211 has 48 divisors (see below), whose sum is σ = 72897327360. Its totient is φ = 26528420160.

The previous prime is 45016061179. The next prime is 45016061227. The reversal of 45016061211 is 11216061054.

45016061211 is a `hidden beast` number, since 4 + 50 + 1 + 606 + 1 + 2 + 1 + 1 = 666.

It is not a de Polignac number, because 45016061211 - 25 = 45016061179 is a prime.

It is not an unprimeable number, because it can be changed into a prime (45016061231) 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, 8213370 + ... + 8218848.

It is an arithmetic number, because the mean of its divisors is an integer number (1518694320).

Almost surely, 245016061211 is an apocalyptic number.

45016061211 is a deficient number, since it is larger than the sum of its proper divisors (27881266149).

45016061211 is a wasteful number, since it uses less digits than its factorization.

45016061211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7776 (or 7773 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The spelling of 45016061211 in words is "forty-five billion, sixteen million, sixty-one thousand, two hundred eleven".

Divisors: 1 3 9 11 33 37 99 111 333 407 1221 2243 3663 5479 6729 16437 20187 24673 49311 60269 74019 82991 180807 202723 222057 248973 542421 608169 746919 912901 1824507 2229953 2738703 6689859 8216109 12289397 20069577 36868191 110604573 135183367 405550101 454707689 1216650303 1364123067 4092369201 5001784579 15005353737 45016061211