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212538071808 = 2832432145289
BaseRepresentation
bin1100010111110001000…
…0011001101100000000
3202022121010212201121100
43011330100121230000
511440234221244213
6241345540254400
721232614542136
oct3057420315400
9668533781540
10212538071808
1182156223117
12352366a1400
1317071aa8a8a
14a403365756
1557de07d773
hex317c419b00

212538071808 has 108 divisors (see below), whose sum is σ = 627051104680. Its totient is φ = 69198409728.

The previous prime is 212538071797. The next prime is 212538071831. The reversal of 212538071808 is 808170835212.

212538071808 is a `hidden beast` number, since 2 + 125 + 380 + 71 + 80 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 973573 + ... + 1171716.

Almost surely, 2212538071808 is an apocalyptic number.

It is an amenable number.

212538071808 is an abundant number, since it is smaller than the sum of its proper divisors (414513032872).

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

212538071808 is a wasteful number, since it uses less digits than its factorization.

212538071808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2145354 (or 2145337 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The spelling of 212538071808 in words is "two hundred twelve billion, five hundred thirty-eight million, seventy-one thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 43 48 64 72 86 96 128 129 144 172 192 256 258 288 344 384 387 516 576 688 768 774 1032 1152 1376 1548 2064 2304 2752 3096 4128 5504 6192 8256 11008 12384 16512 24768 33024 49536 99072 2145289 4290578 6435867 8581156 12871734 17162312 19307601 25743468 34324624 38615202 51486936 68649248 77230404 92247427 102973872 137298496 154460808 184494854 205947744 274596992 276742281 308921616 368989708 411895488 549193984 553484562 617843232 737979416 823790976 830226843 1106969124 1235686464 1475958832 1647581952 1660453686 2213938248 2471372928 2951917664 3320907372 4427876496 4942745856 5903835328 6641814744 8855752992 11807670656 13283629488 17711505984 23615341312 26567258976 35423011968 53134517952 70846023936 106269035904 212538071808