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46064046064 = 2410128799901
BaseRepresentation
bin101010111001101000…
…011000111111110000
311101220021121222212011
4222321220120333300
51223314343433224
633054520212304
73220336634251
oct527150307760
9141807558764
1046064046064
1118598a53663
128b1690a094
1344614b3aba
14232daccb28
1512e9071394
hexab9a18ff0

46064046064 has 40 divisors (see below), whose sum is σ = 90173157120. Its totient is φ = 22793760000.

The previous prime is 46064046031. The next prime is 46064046113.

It is a happy number.

46064046064 is nontrivially palindromic in base 10.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 4647514 + ... + 4657414.

It is an arithmetic number, because the mean of its divisors is an integer number (2254328928).

Almost surely, 246064046064 is an apocalyptic number.

It is an amenable number.

46064046064 is a deficient number, since it is larger than the sum of its proper divisors (44109111056).

46064046064 is a wasteful number, since it uses less digits than its factorization.

46064046064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12889 (or 12883 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 40.

The spelling of 46064046064 in words is "forty-six billion, sixty-four million, forty-six thousand, sixty-four", and thus it is an eban number.

Divisors: 1 2 4 8 16 101 202 404 808 1616 2879 5758 9901 11516 19802 23032 39604 46064 79208 158416 290779 581558 1000001 1163116 2000002 2326232 4000004 4652464 8000008 16000016 28504979 57009958 114019916 228039832 456079664 2879002879 5758005758 11516011516 23032023032 46064046064