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122079263688 = 2332411772
BaseRepresentation
bin111000110110001111…
…1011011101111001000
3102200002220200011001200
41301230133123233020
54000004242414223
6132025450144200
711551144422444
oct1615437335710
9380086604050
10122079263688
114785661a768
121b7b0122060
13b686bc4905
145ca1555824
1532977c3a43
hex1c6c7dbbc8

122079263688 has 36 divisors (see below), whose sum is σ = 330639368865. Its totient is φ = 40692099648.

The previous prime is 122079263659. The next prime is 122079263689. The reversal of 122079263688 is 886362970221.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 114218313444 + 7860950244 = 337962^2 + 88662^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=247062.

It is a super-2 number, since 2×1220792636882 (a number of 23 digits) contains 22 as substring.

It is a zygodrome in base 7.

It is not an unprimeable number, because it can be changed into a prime (122079263689) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2944156 + ... + 2985332.

Almost surely, 2122079263688 is an apocalyptic number.

122079263688 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

122079263688 is an abundant number, since it is smaller than the sum of its proper divisors (208560105177).

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

122079263688 is an frugal number, since it uses more digits than its factorization.

122079263688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82366 (or 41182 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 122079263688 in words is "one hundred twenty-two billion, seventy-nine million, two hundred sixty-three thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 41177 82354 123531 164708 247062 329416 370593 494124 741186 988248 1482372 2964744 1695545329 3391090658 5086635987 6782181316 10173271974 13564362632 15259907961 20346543948 30519815922 40693087896 61039631844 122079263688