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212483383834720 = 25529160789284807
BaseRepresentation
bin110000010100000010100100…
…100111010011100001100000
31000212100012202100200012221111
4300110002210213103201200
5210322311432230202340
62031525304032433104
762520263222202145
oct6024024447234140
91025305670605844
10212483383834720
1161781773820749
121b9b88533a8794
1391741354a786b
143a68371b003cc
1519872a8e89aea
hexc140a49d3860

212483383834720 has 96 divisors (see below), whose sum is σ = 519307116148800. Its totient is φ = 82061749733376.

The previous prime is 212483383834661. The next prime is 212483383834741. The reversal of 212483383834720 is 27438383384212.

It is a super-2 number, since 2×2124833838347202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (58).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 745918557 + ... + 746203363.

It is an arithmetic number, because the mean of its divisors is an integer number (5409449126550).

Almost surely, 2212483383834720 is an apocalyptic number.

212483383834720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212483383834720 is an abundant number, since it is smaller than the sum of its proper divisors (306823732314080).

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

212483383834720 is a wasteful number, since it uses less digits than its factorization.

212483383834720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445640 (or 445632 counting only the distinct ones).

The product of its (nonzero) digits is 37158912, while the sum is 58.

The spelling of 212483383834720 in words is "two hundred twelve trillion, four hundred eighty-three billion, three hundred eighty-three million, eight hundred thirty-four thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 80 116 145 160 232 290 464 580 928 1160 2320 4640 160789 284807 321578 569614 643156 803945 1139228 1286312 1424035 1607890 2278456 2572624 2848070 3215780 4556912 4662881 5145248 5696140 6431560 8259403 9113824 9325762 11392280 12863120 16518806 18651524 22784560 23314405 25726240 33037612 37303048 41297015 45569120 46628810 66075224 74606096 82594030 93257620 132150448 149212192 165188060 186515240 264300896 330376120 373030480 660752240 746060960 1321504480 45793832723 91587665446 183175330892 228969163615 366350661784 457938327230 732701323568 915876654460 1328021148967 1465402647136 1831753308920 2656042297934 3663506617840 5312084595868 6640105744835 7327013235680 10624169191736 13280211489670 21248338383472 26560422979340 42496676766944 53120845958680 106241691917360 212483383834720