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108622248257952 = 253611133131093
BaseRepresentation
bin11000101100101010010110…
…100001011010100110100000
3112020121012000020120121000000
4120230222112201122212200
5103214131331023223302
61023004212202300000
731610461400113362
oct3054522641324640
9466535006517000
10108622248257952
1131679489402450
12102238771b7600
13487c059a9c080
141cb74b845ad32
15c857a98be31c
hex62ca9685a9a0

108622248257952 has 1344 divisors, whose sum is σ = 389594094769152. Its totient is φ = 29376819763200.

The previous prime is 108622248257947. The next prime is 108622248257959. The reversal of 108622248257952 is 259752842226801.

108622248257952 is a `hidden beast` number, since 1 + 0 + 8 + 6 + 2 + 2 + 2 + 4 + 8 + 2 + 579 + 52 = 666.

It is a super-2 number, since 2×1086222482579522 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 108622248257952.

It is not an unprimeable number, because it can be changed into a prime (108622248257959) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 99379915518 + ... + 99379916610.

It is an arithmetic number, because the mean of its divisors is an integer number (289876558608).

Almost surely, 2108622248257952 is an apocalyptic number.

108622248257952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 108622248257952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194797047384576).

108622248257952 is an abundant number, since it is smaller than the sum of its proper divisors (280971846511200).

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

108622248257952 is an equidigital number, since it uses as much as digits as its factorization.

108622248257952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1238 (or 1153 counting only the distinct ones).

The product of its (nonzero) digits is 77414400, while the sum is 63.

The spelling of 108622248257952 in words is "one hundred eight trillion, six hundred twenty-two billion, two hundred forty-eight million, two hundred fifty-seven thousand, nine hundred fifty-two".