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212558260640 = 25511210979249
BaseRepresentation
bin1100010111110101110…
…1011010100110100000
3202022122112212102110212
43011331131122212200
511440304403320030
6241351541113252
721233251255535
oct3057535324640
9668575772425
10212558260640
1182166662300
12352413b8828
131707602712b
14a405cdcd8c
1557e0c1a595
hex317d75a9a0

212558260640 has 72 divisors (see below), whose sum is σ = 551970814500. Its totient is φ = 77293905920.

The previous prime is 212558260639. The next prime is 212558260643. The reversal of 212558260640 is 46062855212.

It can be written as a sum of positive squares in 2 ways, for example, as 208311913744 + 4246346896 = 456412^2 + 65164^2 .

It is not an unprimeable number, because it can be changed into a prime (212558260643) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5470265 + ... + 5508984.

Almost surely, 2212558260640 is an apocalyptic number.

212558260640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212558260640 is an abundant number, since it is smaller than the sum of its proper divisors (339412553860).

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

212558260640 is a wasteful number, since it uses less digits than its factorization.

212558260640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10979286 (or 10979267 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 41.

The spelling of 212558260640 in words is "two hundred twelve billion, five hundred fifty-eight million, two hundred sixty thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 121 160 176 220 242 352 440 484 605 880 968 1210 1760 1936 2420 3872 4840 9680 19360 10979249 21958498 43916996 54896245 87833992 109792490 120771739 175667984 219584980 241543478 351335968 439169960 483086956 603858695 878339920 966173912 1207717390 1328489129 1756679840 1932347824 2415434780 2656978258 3864695648 4830869560 5313956516 6642445645 9661739120 10627913032 13284891290 19323478240 21255826064 26569782580 42511652128 53139565160 106279130320 212558260640