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458689234756 = 22292116772
BaseRepresentation
bin1101010110011000000…
…00100100011101000100
31121211221211201101212011
412223030000210131010
530003343421003011
6550415142104004
745065514110464
oct6531400443504
91554854641764
10458689234756
1116759012a0a5
1274a9211b004
133433c66159c
14182b4931ba4
15bde9031621
hex6acc024744

458689234756 has 27 divisors (see below), whose sum is σ = 831411350679. Its totient is φ = 221417218848.

The previous prime is 458689234721. The next prime is 458689234793. The reversal of 458689234756 is 657432986854.

The square root of 458689234756 is 677266.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 75795596100 + 382893638656 = 275310^2 + 618784^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 458689234691 and 458689234700.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 39275590 + ... + 39287266.

Almost surely, 2458689234756 is an apocalyptic number.

458689234756 is the 677266-th square number.

It is an amenable number.

458689234756 is a deficient number, since it is larger than the sum of its proper divisors (372722115923).

458689234756 is an frugal number, since it uses more digits than its factorization.

458689234756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23416 (or 11708 counting only the distinct ones).

The product of its digits is 348364800, while the sum is 67.

The spelling of 458689234756 in words is "four hundred fifty-eight billion, six hundred eighty-nine million, two hundred thirty-four thousand, seven hundred fifty-six".

Divisors: 1 2 4 29 58 116 841 1682 3364 11677 23354 46708 338633 677266 1354532 9820357 19640714 39281428 136352329 272704658 545409316 3954217541 7908435082 15816870164 114672308689 229344617378 458689234756