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46242342624 = 2531493322633
BaseRepresentation
bin101011000100010000…
…100010011011100000
311102100201010101202110
4223010100202123200
51224201014430444
633124325515320
73224633266302
oct530420423340
9142321111673
1046242342624
111867a662495
128b66572b40
13448c40c51a
142349661972
151309a3ecb9
hexac44226e0

46242342624 has 48 divisors (see below), whose sum is σ = 121467829392. Its totient is φ = 15403742208.

The previous prime is 46242342613. The next prime is 46242342637. The reversal of 46242342624 is 42624324264.

It is a tau number, because it is divible by the number of its divisors (48).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 17989 + ... + 304644.

It is an arithmetic number, because the mean of its divisors is an integer number (2530579779).

Almost surely, 246242342624 is an apocalyptic number.

It is an amenable number.

46242342624 is an abundant number, since it is smaller than the sum of its proper divisors (75225486768).

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

46242342624 is a wasteful number, since it uses less digits than its factorization.

46242342624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324139 (or 324131 counting only the distinct ones).

The product of its digits is 442368, while the sum is 39.

Adding to 46242342624 its reverse (42624324264), we get a palindrome (88866666888).

The spelling of 46242342624 in words is "forty-six billion, two hundred forty-two million, three hundred forty-two thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 1493 2986 4479 5972 8958 11944 17916 23888 35832 47776 71664 143328 322633 645266 967899 1290532 1935798 2581064 3871596 5162128 7743192 10324256 15486384 30972768 481691069 963382138 1445073207 1926764276 2890146414 3853528552 5780292828 7707057104 11560585656 15414114208 23121171312 46242342624