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4858338938896 = 243725322812
BaseRepresentation
bin100011010110010101110…
…0100010001000000010000
3122012110012222211121012101
41012230223210101000100
51114044334232021041
614155520132210144
71011001111416112
oct106545344210020
918173188747171
104858338938896
111603456746653
126656b3a69954
132931a733a5a1
1412b2056cb3b2
158659ac8db31
hex46b2b911010

4858338938896 has 135 divisors (see below), whose sum is σ = 9895506948453. Its totient is φ = 2310669204480.

The previous prime is 4858338938891. The next prime is 4858338938951. The reversal of 4858338938896 is 6988398338584.

The square root of 4858338938896 is 2204164.

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

It can be written as a sum of positive squares in 13 ways, for example, as 29596385296 + 4828742553600 = 172036^2 + 2197440^2 .

It is a super-2 number, since 2×48583389388962 (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4858338938891) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 17289462276 + ... + 17289462556.

Almost surely, 24858338938896 is an apocalyptic number.

4858338938896 is the 2204164-th square number.

It is an amenable number.

4858338938896 is an abundant number, since it is smaller than the sum of its proper divisors (5037168009557).

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

4858338938896 is an frugal number, since it uses more digits than its factorization.

4858338938896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 750 (or 373 counting only the distinct ones).

The product of its digits is 8599633920, while the sum is 82.

The spelling of 4858338938896 in words is "four trillion, eight hundred fifty-eight billion, three hundred thirty-eight million, nine hundred thirty-eight thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 16 37 53 74 106 148 212 281 296 424 562 592 848 1124 1369 1961 2248 2738 2809 3922 4496 5476 5618 7844 10397 10952 11236 14893 15688 20794 21904 22472 29786 31376 41588 44944 59572 72557 78961 83176 103933 119144 145114 157922 166352 207866 238288 290228 315844 384689 415732 551041 580456 631688 769378 789329 831464 1102082 1160912 1263376 1538756 1578658 1662928 2204164 2921557 3077512 3157316 3845521 4184933 4408328 5843114 6155024 6314632 7691042 8369866 8816656 11686228 12629264 15382084 16739732 20388517 23372456 29205173 30764168 33479464 40777034 46744912 58410346 61528336 66958928 81554068 108097609 116820692 154842521 163108136 216195218 221801449 233641384 309685042 326216272 432390436 443602898 467282768 619370084 864780872 887205796 1080591401 1238740168 1729561744 1774411592 2161182802 2477480336 3548823184 4322365604 5729173277 8206653613 8644731208 11458346554 16413307226 17289462416 22916693108 32826614452 45833386216 65653228904 91666772432 131306457808 303646183681 607292367362 1214584734724 2429169469448 4858338938896