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243640066761 = 327131717499107
BaseRepresentation
bin1110001011101000010…
…1000110001011001001
3212021212200202202212100
43202322011012023021
512442433324114021
6303532100104013
723413425253230
oct3427205061311
9767780682770
10243640066761
1194366514283
123b276695009
1319c8a56c8a0
14bb13cabb17
15650e7d4626
hex38ba1462c9

243640066761 has 48 divisors (see below), whose sum is σ = 458616622464. Its totient is φ = 120953820672.

The previous prime is 243640066757. The next prime is 243640066799. The reversal of 243640066761 is 167660046342.

It is a happy number.

It is not a de Polignac number, because 243640066761 - 22 = 243640066757 is a prime.

It is a super-2 number, since 2×2436400667612 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (243640066711) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 8735631 + ... + 8763476.

It is an arithmetic number, because the mean of its divisors is an integer number (9554512968).

Almost surely, 2243640066761 is an apocalyptic number.

243640066761 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

243640066761 is a deficient number, since it is larger than the sum of its proper divisors (214976555703).

243640066761 is a wasteful number, since it uses less digits than its factorization.

243640066761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17499150 (or 17499147 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 243640066761 in words is "two hundred forty-three billion, six hundred forty million, sixty-six thousand, seven hundred sixty-one".

Divisors: 1 3 7 9 13 17 21 39 51 63 91 117 119 153 221 273 357 663 819 1071 1547 1989 4641 13923 17499107 52497321 122493749 157491963 227488391 297484819 367481247 682465173 892454457 1102443741 1592418737 2047395519 2082393733 2677363371 3867302647 4777256211 6247181199 11601907941 14331768633 18741543597 27071118529 34805723823 81213355587 243640066761