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123318642048 = 273745877471
BaseRepresentation
bin111001011011001011…
…1010010010110000000
3102210022021210002112220
41302312113102112000
54010024033021143
6132352442251040
711623644106440
oct1626627222600
9383267702486
10123318642048
1148332181aa8
121ba971b6a80
13b8238c59a4
145d7bdb6120
15331b4dbd83
hex1cb65d2580

123318642048 has 64 divisors (see below), whose sum is σ = 374360171520. Its totient is φ = 35233896960.

The previous prime is 123318642023. The next prime is 123318642053. The reversal of 123318642048 is 840246813321.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 22936048 + ... + 22941423.

It is an arithmetic number, because the mean of its divisors is an integer number (5849377680).

Almost surely, 2123318642048 is an apocalyptic number.

It is an amenable number.

123318642048 is an abundant number, since it is smaller than the sum of its proper divisors (251041529472).

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

123318642048 is an equidigital number, since it uses as much as digits as its factorization.

123318642048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45877495 (or 45877483 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 42.

The spelling of 123318642048 in words is "one hundred twenty-three billion, three hundred eighteen million, six hundred forty-two thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 336 384 448 672 896 1344 2688 45877471 91754942 137632413 183509884 275264826 321142297 367019768 550529652 642284594 734039536 963426891 1101059304 1284569188 1468079072 1926853782 2202118608 2569138376 2936158144 3853707564 4404237216 5138276752 5872316288 7707415128 8808474432 10276553504 15414830256 17616948864 20553107008 30829660512 41106214016 61659321024 123318642048