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122637134387968 = 282333162925431
BaseRepresentation
bin11011111000100110101110…
…110101001101101100000000
3121002012222212202101022012021
4123320212232311031230000
5112033241322400403333
61112454415523011224
734555145341503064
oct3370465665155400
9532188782338167
10122637134387968
1136092131244922
1211907a94209b14
13535782aab0375
14223d95194baa4
15e2a1175dc82d
hex6f89aed4db00

122637134387968 has 72 divisors (see below), whose sum is σ = 256210209351936. Its totient is φ = 58475343590400.

The previous prime is 122637134387939. The next prime is 122637134387969. The reversal of 122637134387968 is 869783431736221.

It is a super-3 number, since 3×1226371343879683 (a number of 43 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122637134387897 and 122637134387906.

It is not an unprimeable number, because it can be changed into a prime (122637134387969) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29513788 + ... + 33411643.

It is an arithmetic number, because the mean of its divisors is an integer number (3558475129888).

Almost surely, 2122637134387968 is an apocalyptic number.

It is an amenable number.

122637134387968 is an abundant number, since it is smaller than the sum of its proper divisors (133573074963968).

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

122637134387968 is an equidigital number, since it uses as much as digits as its factorization.

122637134387968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62925801 (or 62925787 counting only the distinct ones).

The product of its digits is 438939648, while the sum is 70.

The spelling of 122637134387968 in words is "one hundred twenty-two trillion, six hundred thirty-seven billion, one hundred thirty-four million, three hundred eighty-seven thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 184 256 331 368 662 736 1324 1472 2648 2944 5296 5888 7613 10592 15226 21184 30452 42368 60904 84736 121808 243616 487232 974464 1948928 62925431 125850862 251701724 503403448 1006806896 1447284913 2013613792 2894569826 4027227584 5789139652 8054455168 11578279304 16108910336 20828317661 23156558608 41656635322 46313117216 83313270644 92626234432 166626541288 185252468864 333253082576 370504937728 479051306203 666506165152 958102612406 1333012330304 1916205224812 2666024660608 3832410449624 5332049321216 7664820899248 15329641798496 30659283596992 61318567193984 122637134387968