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45160204441 = 1129415636133
BaseRepresentation
bin101010000011110000…
…100000100010011001
311022120021220002020111
4222003300200202121
51214442003020231
632425111524321
73156053255422
oct520360404231
9138507802214
1045160204441
1118174838010
1289040896a1
134349173981
142285a52649
151294a364b1
hexa83c20899

45160204441 has 32 divisors (see below), whose sum is σ = 52308789120. Its totient is φ = 38597260800.

The previous prime is 45160204409. The next prime is 45160204493. The reversal of 45160204441 is 14440206154.

It is a cyclic number.

It is not a de Polignac number, because 45160204441 - 25 = 45160204409 is a prime.

It is a super-2 number, since 2×451602044412 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (45160204541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7360411 + ... + 7366543.

It is an arithmetic number, because the mean of its divisors is an integer number (1634649660).

Almost surely, 245160204441 is an apocalyptic number.

45160204441 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

45160204441 is a deficient number, since it is larger than the sum of its proper divisors (7148584679).

45160204441 is a wasteful number, since it uses less digits than its factorization.

45160204441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6777.

The product of its (nonzero) digits is 15360, while the sum is 31.

The spelling of 45160204441 in words is "forty-five billion, one hundred sixty million, two hundred four thousand, four hundred forty-one".

Divisors: 1 11 29 41 319 451 563 1189 6133 6193 13079 16327 23083 67463 177857 179597 251453 253913 669407 1956427 2765983 3452879 7292137 7363477 37981669 80213507 100133491 141568039 1101468401 1557248429 4105473131 45160204441