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2643652433620 = 2251128317376079
BaseRepresentation
bin100110011110000101111…
…101101101011011010100
3100100201201200110021222001
4212132011331231123110
5321303200010333440
65342251022245044
7361666112630302
oct46360575553324
910321650407861
102643652433620
1192a191973900
12368435a26784
131623abb82253
1491d4c41d272
1548b7a2eeb9a
hex26785f6d6d4

2643652433620 has 144 divisors (see below), whose sum is σ = 6211549774080. Its totient is φ = 944243618560.

The previous prime is 2643652433581. The next prime is 2643652433621. The reversal of 2643652433620 is 263342563462.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2643652433621) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34710741 + ... + 34786819.

It is an arithmetic number, because the mean of its divisors is an integer number (43135762320).

Almost surely, 22643652433620 is an apocalyptic number.

2643652433620 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2643652433620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3105774887040).

2643652433620 is an abundant number, since it is smaller than the sum of its proper divisors (3567897340460).

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

2643652433620 is a wasteful number, since it uses less digits than its factorization.

2643652433620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76366 (or 76353 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 46.

The spelling of 2643652433620 in words is "two trillion, six hundred forty-three billion, six hundred fifty-two million, four hundred thirty-three thousand, six hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 83 110 121 166 173 220 242 332 346 415 484 605 692 830 865 913 1210 1660 1730 1826 1903 2420 3460 3652 3806 4565 7612 9130 9515 10043 14359 18260 19030 20086 20933 28718 38060 40172 41866 50215 57436 71795 76079 83732 100430 104665 143590 152158 157949 200860 209330 287180 304316 315898 380395 418660 631796 760790 789745 836869 1521580 1579490 1673738 1737439 3158980 3347476 3474878 4184345 6314557 6949756 8368690 8687195 9205559 12629114 13161667 16737380 17374390 18411118 25258228 26323334 31572785 34748780 36822236 46027795 52646668 63145570 65808335 69460127 92055590 126291140 131616670 138920254 144778337 184111180 263233340 277840508 289556674 347300635 579113348 694601270 723891685 764061397 1092418361 1389202540 1447783370 1528122794 1592561707 2184836722 2895566740 3056245588 3185123414 3820306985 4369673444 5462091805 6370246828 7640613970 7962808535 10924183610 12016601971 15281227940 15925617070 21848367220 24033203942 31851234140 48066407884 60083009855 120166019710 132182621681 240332039420 264365243362 528730486724 660913108405 1321826216810 2643652433620