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46460456055 = 32513411937063
BaseRepresentation
bin101011010001010000…
…100100110001110111
311102220220112201010200
4223101100210301313
51230122334043210
633202120451543
73233222234436
oct532120446167
9142826481120
1046460456055
1118781797322
129007619bb3
1344c5669320
14236a5db11d
15131dc760c0
hexad1424c77

46460456055 has 48 divisors (see below), whose sum is σ = 88841503296. Its totient is φ = 22314954240.

The previous prime is 46460456041. The next prime is 46460456083. The reversal of 46460456055 is 55065406464.

46460456055 is a `hidden beast` number, since 46 + 46 + 0 + 4 + 560 + 5 + 5 = 666.

It is not a de Polignac number, because 46460456055 - 26 = 46460455991 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 46460456055.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 944547 + ... + 992516.

It is an arithmetic number, because the mean of its divisors is an integer number (1850864652).

Almost surely, 246460456055 is an apocalyptic number.

46460456055 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

46460456055 is a deficient number, since it is larger than the sum of its proper divisors (42381047241).

46460456055 is a wasteful number, since it uses less digits than its factorization.

46460456055 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1937128 (or 1937125 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 45.

The spelling of 46460456055 in words is "forty-six billion, four hundred sixty million, four hundred fifty-six thousand, fifty-five".

Divisors: 1 3 5 9 13 15 39 41 45 65 117 123 195 205 369 533 585 615 1599 1845 2665 4797 7995 23985 1937063 5811189 9685315 17433567 25181819 29055945 75545457 79419583 87167835 125909095 226636371 238258749 377727285 397097915 714776247 1032454579 1133181855 1191293745 3097363737 3573881235 5162272895 9292091211 15486818685 46460456055