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2124875608144 = 2417591914331601
BaseRepresentation
bin11110111010111100011…
…101001011000001010000
321112010200020100000110221
4132322330131023001100
5234303221123430034
64304053202402424
7306342253442332
oct36727435130120
97463606300427
102124875608144
1174a177981523
122a3994660414
131254b48a6373
1474bb7557452
153a416017bb4
hex1eebc74b050

2124875608144 has 160 divisors (see below), whose sum is σ = 4469293946880. Its totient is φ = 974979072000.

The previous prime is 2124875608129. The next prime is 2124875608183. The reversal of 2124875608144 is 4418065784212.

It is a junction number, because it is equal to n+sod(n) for n = 2124875608091 and 2124875608100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1327216944 + ... + 1327218544.

It is an arithmetic number, because the mean of its divisors is an integer number (27933087168).

Almost surely, 22124875608144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2124875608144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2234646973440).

2124875608144 is an abundant number, since it is smaller than the sum of its proper divisors (2344418338736).

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

2124875608144 is a wasteful number, since it uses less digits than its factorization.

2124875608144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2309 (or 2303 counting only the distinct ones).

The product of its (nonzero) digits is 3440640, while the sum is 52.

The spelling of 2124875608144 in words is "two trillion, one hundred twenty-four billion, eight hundred seventy-five million, six hundred eight thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 17 34 59 68 118 136 191 236 272 382 433 472 764 866 944 1003 1528 1601 1732 2006 3056 3202 3247 3464 4012 6404 6494 6928 7361 8024 11269 12808 12988 14722 16048 22538 25547 25616 25976 27217 29444 45076 51094 51952 54434 58888 82703 90152 94459 102188 108868 117776 165406 180304 188918 191573 204376 217736 305791 330812 377836 383146 408752 434299 435472 611582 661624 693233 755672 766292 868598 1223164 1323248 1386466 1405951 1511344 1532584 1605803 1737196 2446328 2772932 2811902 3065168 3211606 3474392 4879477 4892656 5198447 5545864 5623804 6423212 6948784 9758954 10396894 11091728 11247608 11784961 12846424 18041669 19517908 20793788 22495216 23569922 25692848 36083338 39035816 40900747 41587576 47139844 72166676 78071632 81801494 82951109 83175152 94279688 132407503 144333352 163602988 165902218 188559376 264815006 288666704 306708373 327205976 331804436 529630012 613416746 654411952 663608872 695312699 1059260024 1226833492 1327217744 1390625398 2118520048 2250927551 2453666984 2781250796 4501855102 4907333968 5562501592 7812042677 9003710204 11125003184 15624085354 18007420408 31248170708 36014840816 62496341416 124992682832 132804725509 265609451018 531218902036 1062437804072 2124875608144