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45985458954 = 23374315233163
BaseRepresentation
bin101010110100111100…
…100110101100001010
311101200210202100121110
4222310330212230022
51223134234141304
633043031551150
73215363644311
oct526474465412
9141623670543
1045985458954
1118558657a36
128ab452b4b6
13444b129856
1423234b3278
1512e21eb289
hexab4f26b0a

45985458954 has 64 divisors (see below), whose sum is σ = 96747323904. Its totient is φ = 14553193536.

The previous prime is 45985458941. The next prime is 45985458971.

45985458954 is nontrivially palindromic in base 10.

45985458954 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×459854589542 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14536977 + ... + 14540139.

It is an arithmetic number, because the mean of its divisors is an integer number (1511676936).

Almost surely, 245985458954 is an apocalyptic number.

45985458954 is an abundant number, since it is smaller than the sum of its proper divisors (50761864950).

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

45985458954 is a wasteful number, since it uses less digits than its factorization.

45985458954 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4771.

The product of its digits is 207360000, while the sum is 66.

The spelling of 45985458954 in words is "forty-five billion, nine hundred eighty-five million, four hundred fifty-eight thousand, nine hundred fifty-four".

Divisors: 1 2 3 6 37 43 74 86 111 129 222 258 1523 1591 3046 3163 3182 4569 4773 6326 9138 9489 9546 18978 56351 65489 112702 117031 130978 136009 169053 196467 234062 272018 338106 351093 392934 408027 702186 816054 2423093 4817249 4846186 5032333 7269279 9634498 10064666 14451747 14538558 15096999 28903494 30193998 178238213 207141707 356476426 414283414 534714639 621425121 1069429278 1242850242 7664243159 15328486318 22992729477 45985458954