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468810242018864 = 24261730673650561
BaseRepresentation
bin110101010011000010110001…
…1111100010100111000110000
32021110220211011211100020112222
41222212011203330110320300
5442421441333424100424
64341024241343540212
7200514264555415544
oct15246054374247060
92243824154306488
10468810242018864
11126417341842029
12446b66955ba668
1317178801833c45
1483aa772d07a24
15392ec6c1a0e5e
hex1aa6163f14e30

468810242018864 has 40 divisors (see below), whose sum is σ = 908963449522128. Its totient is φ = 234239087738880.

The previous prime is 468810242018863. The next prime is 468810242018873.

It is a happy number.

468810242018864 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 468810242018797 and 468810242018806.

It is not an unprimeable number, because it can be changed into a prime (468810242018863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 126596144 + ... + 130246704.

Almost surely, 2468810242018864 is an apocalyptic number.

It is an amenable number.

468810242018864 is a deficient number, since it is larger than the sum of its proper divisors (440153207503264).

468810242018864 is a wasteful number, since it uses less digits than its factorization.

468810242018864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3656253 (or 3656247 counting only the distinct ones).

The product of its (nonzero) digits is 37748736, while the sum is 62.

The spelling of 468810242018864 in words is "four hundred sixty-eight trillion, eight hundred ten billion, two hundred forty-two million, eighteen thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 16 2617 3067 5234 6134 10468 12268 20936 24536 41872 49072 3650561 7301122 8026339 14602244 16052678 29204488 32105356 58408976 64210712 128421424 9553518137 11196270587 19107036274 22392541174 38214072548 44785082348 76428145096 89570164696 152856290192 179140329392 29300640126179 58601280252358 117202560504716 234405121009432 468810242018864