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46456542440 = 23571115083293
BaseRepresentation
bin101011010001000001…
…101001010011101000
311102220122011212122222
4223101001221103220
51230120333324230
633201500533212
73233144044460
oct532101512350
9142818155588
1046456542440
111877a563a30
129006251208
1344c48c8b89
142369c9cba0
15131d7516e5
hexad10694e8

46456542440 has 64 divisors (see below), whose sum is σ = 130319660160. Its totient is φ = 14479960320.

The previous prime is 46456542437. The next prime is 46456542491. The reversal of 46456542440 is 4424565464.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 46456542391 and 46456542400.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7538567 + ... + 7544726.

It is an arithmetic number, because the mean of its divisors is an integer number (2036244690).

Almost surely, 246456542440 is an apocalyptic number.

46456542440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

46456542440 is an abundant number, since it is smaller than the sum of its proper divisors (83863117720).

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

46456542440 is a wasteful number, since it uses less digits than its factorization.

46456542440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15083322 (or 15083318 counting only the distinct ones).

The product of its (nonzero) digits is 1843200, while the sum is 44.

It can be divided in two parts, 464565424 and 40, that added together give a palindrome (464565464).

The spelling of 46456542440 in words is "forty-six billion, four hundred fifty-six million, five hundred forty-two thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 88 110 140 154 220 280 308 385 440 616 770 1540 3080 15083293 30166586 60333172 75416465 105583051 120666344 150832930 165916223 211166102 301665860 331832446 422332204 527915255 603331720 663664892 829581115 844664408 1055830510 1161413561 1327329784 1659162230 2111661020 2322827122 3318324460 4223322040 4645654244 5807067805 6636648920 9291308488 11614135610 23228271220 46456542440