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212076462420 = 2232563113031433
BaseRepresentation
bin1100010110000010111…
…1100000000101010100
3202021101222021112120100
43011200233200011110
511433313033244140
6241232050334100
721215311121154
oct3054057400524
9667358245510
10212076462420
1181a396a8159
1235127b8a330
1316cca275b24
14a39bd24764
1557b379a530
hex3160be0154

212076462420 has 144 divisors (see below), whose sum is σ = 645262555392. Its totient is φ = 56381391360.

The previous prime is 212076462413. The next prime is 212076462431. The reversal of 212076462420 is 24264670212.

212076462420 is a `hidden beast` number, since 2 + 1 + 2 + 0 + 7 + 6 + 4 + 624 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 147994024 + ... + 147995456.

It is an arithmetic number, because the mean of its divisors is an integer number (4480989968).

Almost surely, 2212076462420 is an apocalyptic number.

212076462420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212076462420 is an abundant number, since it is smaller than the sum of its proper divisors (433186092972).

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

212076462420 is a wasteful number, since it uses less digits than its factorization.

212076462420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3382 (or 3377 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 212076462420 in words is "two hundred twelve billion, seventy-six million, four hundred sixty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 631 1262 1303 1433 1893 2524 2606 2866 3155 3786 3909 4299 5212 5679 5732 6310 6515 7165 7572 7818 8598 9465 11358 11727 12620 12897 13030 14330 15636 17196 18930 19545 21495 22716 23454 25794 26060 28395 28660 37860 39090 42990 46908 51588 56790 58635 64485 78180 85980 113580 117270 128970 234540 257940 822193 904223 1644386 1808446 1867199 2466579 2712669 3288772 3616892 3734398 4110965 4521115 4933158 5425338 5601597 7399737 7468796 8138007 8221930 9042230 9335995 9866316 10850676 11203194 12332895 13563345 14799474 16276014 16443860 16804791 18084460 18671990 22406388 24665790 27126690 28007985 29598948 32552028 33609582 36998685 37343980 40690035 49331580 54253380 56015970 67219164 73997370 81380070 84023955 112031940 147994740 162760140 168047910 336095820 1178202569 2356405138 3534607707 4712810276 5891012845 7069215414 10603823121 11782025690 14138430828 17673038535 21207646242 23564051380 35346077070 42415292484 53019115605 70692154140 106038231210 212076462420