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118044104368320 = 263251323928314767
BaseRepresentation
bin11010110101110001001000…
…111010001010000011000000
3120110221220110121002020100100
4122311301020322022003000
5110433013311204241240
61055020413553322400
733602255643501234
oct3265611072120300
9513856417066310
10118044104368320
11346812505700a9
12112a58a3866400
1350b368537c480
142121517d0c5c4
15d9a8e864de30
hex6b5c48e8a0c0

118044104368320 has 672 divisors, whose sum is σ = 456346176878592. Its totient is φ = 27788786049024.

The previous prime is 118044104368319. The next prime is 118044104368367. The reversal of 118044104368320 is 23863401440811.

118044104368320 is a `hidden beast` number, since 1 + 1 + 80 + 4 + 41 + 0 + 436 + 83 + 20 = 666.

It is a super-2 number, since 2×1180441043683202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7993769577 + ... + 7993784343.

It is an arithmetic number, because the mean of its divisors is an integer number (679086572736).

Almost surely, 2118044104368320 is an apocalyptic number.

118044104368320 is a gapful number since it is divisible by the number (10) 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 118044104368320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228173088439296).

118044104368320 is an abundant number, since it is smaller than the sum of its proper divisors (338302072510272).

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

118044104368320 is a wasteful number, since it uses less digits than its factorization.

118044104368320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24109 (or 24096 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 118044104368320 in words is "one hundred eighteen trillion, forty-four billion, one hundred four million, three hundred sixty-eight thousand, three hundred twenty".