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1001132118648 = 233213904612759
BaseRepresentation
bin11101001000110000001…
…11111101001001111000
310112201002121201000022100
432210120013331021320
5112400304310244043
62043525211423400
7132220662413334
oct16443007751170
93481077630270
101001132118648
11356639a88442
12142039154b60
13735389b392c
14366529467c4
151b095d43cd3
hexe9181fd278

1001132118648 has 24 divisors (see below), whose sum is σ = 2711399488200. Its totient is φ = 333710706192.

The previous prime is 1001132118631. The next prime is 1001132118653. The reversal of 1001132118648 is 8468112311001.

1001132118648 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 1 + 3 + 2 + 1 + 1 + 8 + 648 = 666.

1001132118648 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6952306308 + ... + 6952306451.

It is an arithmetic number, because the mean of its divisors is an integer number (112974978675).

Almost surely, 21001132118648 is an apocalyptic number.

1001132118648 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1001132118648 is an abundant number, since it is smaller than the sum of its proper divisors (1710267369552).

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

1001132118648 is a wasteful number, since it uses less digits than its factorization.

1001132118648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13904612771 (or 13904612764 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

Adding to 1001132118648 its reverse (8468112311001), we get a palindrome (9469244429649).

The spelling of 1001132118648 in words is "one trillion, one billion, one hundred thirty-two million, one hundred eighteen thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 13904612759 27809225518 41713838277 55618451036 83427676554 111236902072 125141514831 166855353108 250283029662 333710706216 500566059324 1001132118648