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108861341952 = 2831122331253
BaseRepresentation
bin110010101100010100…
…1000100000100000000
3101101222201211011011210
41211120221010010000
53240422000420302
6122002112210120
710602454065456
oct1453051040400
9341881734153
10108861341952
1142193431500
1219121539940
13a35b63244c
1453a9ca09d6
152c7217766c
hex1958a44100

108861341952 has 648 divisors, whose sum is σ = 349853950656. Its totient is φ = 29959987200.

The previous prime is 108861341893. The next prime is 108861341959. The reversal of 108861341952 is 259143168801.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (108861341959) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2053987558 + ... + 2053987610.

It is an arithmetic number, because the mean of its divisors is an integer number (539898072).

Almost surely, 2108861341952 is an apocalyptic number.

108861341952 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 108861341952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174926975328).

108861341952 is an abundant number, since it is smaller than the sum of its proper divisors (240992608704).

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

108861341952 is a wasteful number, since it uses less digits than its factorization.

108861341952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 48.

The spelling of 108861341952 in words is "one hundred eight billion, eight hundred sixty-one million, three hundred forty-one thousand, nine hundred fifty-two".