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990120301242479 = 1123311153617317737
BaseRepresentation
bin1110000100100000100101100…
…0110101110010100001101111
311210211201120120011221100111222
43201020021120311302201233
52014234112334104224404
613425450553111333555
7415360555035323441
oct34110113065624157
94724646504840458
10990120301242479
11267534730739670
129306bb456812bb
1333661c3662a9c4
1413670114b08491
15797047ba15dbe
hex3848258d7286f

990120301242479 has 64 divisors (see below), whose sum is σ = 1164714683424768. Its totient is φ = 832296392294400.

The previous prime is 990120301242469. The next prime is 990120301242557. The reversal of 990120301242479 is 974242103021099.

It is not a de Polignac number, because 990120301242479 - 232 = 990116006275183 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 990120301242479.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (990120301242469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 55822300499 + ... + 55822318235.

It is an arithmetic number, because the mean of its divisors is an integer number (18198666928512).

Almost surely, 2990120301242479 is an apocalyptic number.

990120301242479 is a deficient number, since it is larger than the sum of its proper divisors (174594382182289).

990120301242479 is a wasteful number, since it uses less digits than its factorization.

990120301242479 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25128.

The product of its (nonzero) digits is 1959552, while the sum is 53.

The spelling of 990120301242479 in words is "nine hundred ninety trillion, one hundred twenty billion, three hundred one million, two hundred forty-two thousand, four hundred seventy-nine".

Divisors: 1 11 23 31 253 341 713 1153 6173 7843 12683 17737 26519 35743 67903 141979 191363 195107 291709 393173 407951 549847 822089 1561769 2104993 4401349 4487461 6048317 7117469 9042979 12646481 20450761 48414839 78292159 109490501 139111291 163701787 220641539 224958371 470367503 633973591 1204395511 1800719657 2427056929 2518281523 3394205531 5074755397 5174042533 6973709501 14581392593 27701096753 37336260841 55822309367 78066727213 126242547653 160395318523 858733999343 1388668024183 2903578596019 3913518977243 31939364556209 43048708749673 90010936476589 990120301242479