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46065462345 = 335748746521
BaseRepresentation
bin101010111001101101…
…110010110001001001
311101220101021221122000
4222321231302301021
51223320224243340
633055010421213
73220354653330
oct527155626111
9141811257560
1046065462345
1118599830741
128b17291809
13446188b636
14232dd7ad17
1512e9250d30
hexab9b72c49

46065462345 has 32 divisors (see below), whose sum is σ = 93593322240. Its totient is φ = 21058496640.

The previous prime is 46065462307. The next prime is 46065462371. The reversal of 46065462345 is 54326456064.

It is a happy number.

46065462345 is a `hidden beast` number, since 4 + 60 + 6 + 546 + 2 + 3 + 45 = 666.

It is not a de Polignac number, because 46065462345 - 211 = 46065460297 is a prime.

It is a super-2 number, since 2×460654623452 (a number of 22 digits) contains 22 as substring.

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 46065462345.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 24372316 + ... + 24374205.

It is an arithmetic number, because the mean of its divisors is an integer number (2924791320).

Almost surely, 246065462345 is an apocalyptic number.

46065462345 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

46065462345 is an abundant number, since it is smaller than the sum of its proper divisors (47527859895).

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

46065462345 is a wasteful number, since it uses less digits than its factorization.

46065462345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48746542 (or 48746536 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 45.

The spelling of 46065462345 in words is "forty-six billion, sixty-five million, four hundred sixty-two thousand, three hundred forty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 105 135 189 315 945 48746521 146239563 243732605 341225647 438718689 731197815 1023676941 1316156067 1706128235 2193593445 3071030823 5118384705 6580780335 9213092469 15355154115 46065462345