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1114918983360 = 263357213202577
BaseRepresentation
bin10000001110010110010…
…110011001011011000000
310221120210121202122111000
4100032112112121123000
5121231323224431420
62212104155052000
7143356505664600
oct20162626313300
93846717678430
101114918983360
1139a91a778006
121600b4141000
13811a08c9290
143bd68a3cc00
151e005610690
hex103965996c0

1114918983360 has 672 divisors, whose sum is σ = 4927312797120. Its totient is φ = 235234492416.

The previous prime is 1114918983301. The next prime is 1114918983401. The reversal of 1114918983360 is 633898194111.

1114918983360 is a `hidden beast` number, since 1 + 1 + 1 + 491 + 8 + 98 + 3 + 3 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 1114918983297 and 1114918983306.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5402392 + ... + 5604968.

It is an arithmetic number, because the mean of its divisors is an integer number (7332310710).

Almost surely, 21114918983360 is an apocalyptic number.

1114918983360 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 1114918983360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2463656398560).

1114918983360 is an abundant number, since it is smaller than the sum of its proper divisors (3812393813760).

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

1114918983360 is a wasteful number, since it uses less digits than its factorization.

1114918983360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202630 (or 202607 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 54.

The spelling of 1114918983360 in words is "one trillion, one hundred fourteen billion, nine hundred eighteen million, nine hundred eighty-three thousand, three hundred sixty".