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268344129972 = 223132716851553
BaseRepresentation
bin1111100111101010001…
…1100111100110110100
3221122122100211012201110
43321322203213212310
513344032044124342
6323135305555020
725246550320152
oct3717243474664
9848570735643
10268344129972
11a38932a1646
124400baa5a70
131c3c669b879
14cdb8c1c3d2
156ea84ebc9c
hex3e7a8e79b4

268344129972 has 24 divisors (see below), whose sum is σ = 626608183936. Its totient is φ = 89380631808.

The previous prime is 268344129953. The next prime is 268344129979. The reversal of 268344129972 is 279921443862.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268344129979) 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, 8409853 + ... + 8441700.

Almost surely, 2268344129972 is an apocalyptic number.

It is an amenable number.

268344129972 is an abundant number, since it is smaller than the sum of its proper divisors (358264053964).

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

268344129972 is a wasteful number, since it uses less digits than its factorization.

268344129972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16852887 (or 16852885 counting only the distinct ones).

The product of its digits is 10450944, while the sum is 57.

The spelling of 268344129972 in words is "two hundred sixty-eight billion, three hundred forty-four million, one hundred twenty-nine thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 12 1327 2654 3981 5308 7962 15924 16851553 33703106 50554659 67406212 101109318 202218636 22362010831 44724021662 67086032493 89448043324 134172064986 268344129972