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1223473761540 = 2234537107190763
BaseRepresentation
bin10001110011011100101…
…110000000110100000100
311022221222222201202020000
4101303130232000310010
5130021133240332130
62334020040441300
7154251551245422
oct21633456006404
94287888652200
101223473761540
11431966051618
1217914aa79230
138b4b0873134
1443305cdc112
1521c5a8ce260
hex11cdcb80d04

1223473761540 has 240 divisors, whose sum is σ = 3978674707392. Its totient is φ = 314473446144.

The previous prime is 1223473761539. The next prime is 1223473761541. The reversal of 1223473761540 is 451673743221.

It is a happy number.

1223473761540 is a `hidden beast` number, since 1 + 2 + 2 + 3 + 47 + 3 + 7 + 61 + 540 = 666.

It is an interprime number because it is at equal distance from previous prime (1223473761539) and next prime (1223473761541).

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

It is not an unprimeable number, because it can be changed into a prime (1223473761541) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 6318199 + ... + 6508961.

Almost surely, 21223473761540 is an apocalyptic number.

1223473761540 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 1223473761540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1989337353696).

1223473761540 is an abundant number, since it is smaller than the sum of its proper divisors (2755200945852).

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

1223473761540 is a wasteful number, since it uses less digits than its factorization.

1223473761540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190928 (or 190917 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 1223473761540 in words is "one trillion, two hundred twenty-three billion, four hundred seventy-three million, seven hundred sixty-one thousand, five hundred forty".