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466330430144 = 26169319992153
BaseRepresentation
bin1101100100100110111…
…01011010101011000000
31122120200100222100100202
412302103131122223000
530120021042231034
6554121303304332
745456050153165
oct6622335325300
91576610870322
10466330430144
1116a851409307
127646514b0a8
1334c89757a87
14187db6ba06c
15c1e4ca447e
hex6c9375aac0

466330430144 has 56 divisors (see below), whose sum is σ = 926814504000. Its totient is φ = 232802740224.

The previous prime is 466330430101. The next prime is 466330430147. The reversal of 466330430144 is 441034033664.

It is a junction number, because it is equal to n+sod(n) for n = 466330430098 and 466330430107.

It is not an unprimeable number, because it can be changed into a prime (466330430147) by changing a digit.

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, 216594572 + ... + 216596724.

It is an arithmetic number, because the mean of its divisors is an integer number (16550259000).

Almost surely, 2466330430144 is an apocalyptic number.

It is an amenable number.

466330430144 is a deficient number, since it is larger than the sum of its proper divisors (460484073856).

466330430144 is a wasteful number, since it uses less digits than its factorization.

466330430144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5857 (or 5847 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 38.

The spelling of 466330430144 in words is "four hundred sixty-six billion, three hundred thirty million, four hundred thirty thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 64 1693 1999 2153 3386 3998 4306 6772 7996 8612 13544 15992 17224 27088 31984 34448 54176 63968 68896 108352 127936 137792 3384307 3645029 4303847 6768614 7290058 8607694 13537228 14580116 17215388 27074456 29160232 34430776 54148912 58320464 68861552 108297824 116640928 137723104 216595648 233281856 275446208 7286412971 14572825942 29145651884 58291303768 116582607536 233165215072 466330430144