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212027448420 = 2236514542349
BaseRepresentation
bin1100010101110111010…
…0100001110001100100
3202021021120001101000000
43011131310201301210
511433213011322140
6241223140021300
721214144401204
oct3053564416144
9667246041000
10212027448420
1181a13a70217
1235113691830
1316cc0074468
14a395606404
1557ae317a30
hex315dd21c64

212027448420 has 84 divisors (see below), whose sum is σ = 667581119100. Its totient is φ = 56540649024.

The previous prime is 212027448407. The next prime is 212027448443. The reversal of 212027448420 is 24844720212.

212027448420 is a `hidden beast` number, since 2 + 1 + 202 + 7 + 448 + 4 + 2 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 85314231396 + 126713217024 = 292086^2 + 355968^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 7256595 + ... + 7285754.

It is an arithmetic number, because the mean of its divisors is an integer number (7947394275).

Almost surely, 2212027448420 is an apocalyptic number.

212027448420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212027448420 is an abundant number, since it is smaller than the sum of its proper divisors (455553670680).

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

212027448420 is a wasteful number, since it uses less digits than its factorization.

212027448420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14542376 (or 14542359 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 36.

The spelling of 212027448420 in words is "two hundred twelve billion, twenty-seven million, four hundred forty-eight thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 243 270 324 405 486 540 729 810 972 1215 1458 1620 2430 2916 3645 4860 7290 14580 14542349 29084698 43627047 58169396 72711745 87254094 130881141 145423490 174508188 218135235 261762282 290846980 392643423 436270470 523524564 654405705 785286846 872540940 1177930269 1308811410 1570573692 1963217115 2355860538 2617622820 3533790807 3926434230 4711721076 5889651345 7067581614 7852868460 10601372421 11779302690 14135163228 17668954035 21202744842 23558605380 35337908070 42405489684 53006862105 70675816140 106013724210 212027448420