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58278014816 = 257385167559
BaseRepresentation
bin110110010001101000…
…111110111101100000
312120102111100220011012
4312101220332331200
51423323132433231
642434512040052
74132116644510
oct662150767540
9176374326135
1058278014816
112279646910a
12b365233028
135659a83a48
142b6bcc7840
1517b14a9e2b
hexd91a3ef60

58278014816 has 48 divisors (see below), whose sum is σ = 131161524480. Its totient is φ = 24969436800.

The previous prime is 58278014749. The next prime is 58278014867. The reversal of 58278014816 is 61841087285.

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, 828845 + ... + 896403.

It is an arithmetic number, because the mean of its divisors is an integer number (2732531760).

Almost surely, 258278014816 is an apocalyptic number.

58278014816 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

58278014816 is an abundant number, since it is smaller than the sum of its proper divisors (72883509664).

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

58278014816 is a wasteful number, since it uses less digits than its factorization.

58278014816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71427 (or 71419 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 50.

The spelling of 58278014816 in words is "fifty-eight billion, two hundred seventy-eight million, fourteen thousand, eight hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 3851 7702 15404 26957 30808 53914 61616 67559 107828 123232 135118 215656 270236 431312 472913 540472 862624 945826 1080944 1891652 2161888 3783304 7566608 15133216 260169709 520339418 1040678836 1821187963 2081357672 3642375926 4162715344 7284751852 8325430688 14569503704 29139007408 58278014816