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212508623840 = 25537289712391
BaseRepresentation
bin1100010111101010000…
…0000100001111100000
3202022112002110121120212
43011322200010033200
511440204201430330
6241343005153252
721232106333042
oct3057240041740
9668462417525
10212508623840
118214063a457
123522885b828
1317068968146
14a3dd49ba92
1557db6b3295
hex317a8043e0

212508623840 has 96 divisors (see below), whose sum is σ = 515840197824. Its totient is φ = 82670837760.

The previous prime is 212508623837. The next prime is 212508623843. The reversal of 212508623840 is 48326805212.

It is an interprime number because it is at equal distance from previous prime (212508623837) and next prime (212508623843).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212508623843) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17144045 + ... + 17156435.

It is an arithmetic number, because the mean of its divisors is an integer number (5373335394).

Almost surely, 2212508623840 is an apocalyptic number.

212508623840 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 212508623840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257920098912).

212508623840 is an abundant number, since it is smaller than the sum of its proper divisors (303331573984).

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

212508623840 is a wasteful number, since it uses less digits than its factorization.

212508623840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15340 (or 15332 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 41.

The spelling of 212508623840 in words is "two hundred twelve billion, five hundred eight million, six hundred twenty-three thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 74 80 148 160 185 296 370 592 740 1184 1480 2897 2960 5794 5920 11588 12391 14485 23176 24782 28970 46352 49564 57940 61955 92704 99128 107189 115880 123910 198256 214378 231760 247820 396512 428756 458467 463520 495640 535945 857512 916934 991280 1071890 1715024 1833868 1982560 2143780 2292335 3430048 3667736 4287560 4584670 7335472 8575120 9169340 14670944 17150240 18338680 35896727 36677360 71793454 73354720 143586908 179483635 287173816 358967270 574347632 717934540 1148695264 1328178899 1435869080 2656357798 2871738160 5312715596 5743476320 6640894495 10625431192 13281788990 21250862384 26563577980 42501724768 53127155960 106254311920 212508623840