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58614346816 = 265325712
BaseRepresentation
bin110110100101101011…
…111111010001000000
312121021221020022220221
4312211223333101000
51430020233044231
642532124512424
74143342504334
oct664553772100
9177257208827
1058614346816
11229492a8343
12b4399ab714
1356b166296c
142ba08377c4
1517d0c93d11
hexda5aff440

58614346816 has 63 divisors (see below), whose sum is σ = 118756813413. Its totient is φ = 28703850240.

The previous prime is 58614346793. The next prime is 58614346829. The reversal of 58614346816 is 61864341685.

The square root of 58614346816 is 242104.

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

It can be written as a sum of positive squares in only one way, i.e., 42254913600 + 16359433216 = 205560^2 + 127904^2 .

It is a Duffinian 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 8 ways as a sum of consecutive naturals, for example, 102651811 + ... + 102652381.

Almost surely, 258614346816 is an apocalyptic number.

58614346816 is the 242104-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58614346816

58614346816 is an abundant number, since it is smaller than the sum of its proper divisors (60142466597).

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

58614346816 is an frugal number, since it uses more digits than its factorization.

58614346816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1260 (or 626 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 52.

The spelling of 58614346816 in words is "fifty-eight billion, six hundred fourteen million, three hundred forty-six thousand, eight hundred sixteen".

Divisors: 1 2 4 8 16 32 53 64 106 212 424 571 848 1142 1696 2284 2809 3392 4568 5618 9136 11236 18272 22472 30263 36544 44944 60526 89888 121052 179776 242104 326041 484208 652082 968416 1304164 1603939 1936832 2608328 3207878 5216656 6415756 10433312 12831512 17280173 20866624 25663024 34560346 51326048 69120692 102652096 138241384 276482768 552965536 915849169 1105931072 1831698338 3663396676 7326793352 14653586704 29307173408 58614346816