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2263473630000 = 2432541110122637
BaseRepresentation
bin100000111100000001100…
…010101010101100110000
322000101102100222000202200
4200330001202222230300
5244041043222130000
64451454143143200
7322346662256652
oct40740142525460
98011370860680
102263473630000
117a2a2a945740
123068148a4b00
131355a1b7639b
147b7a48ba6d2
153dd28b03500
hex20f018aab30

2263473630000 has 600 divisors, whose sum is σ = 8721186089616. Its totient is φ = 543264000000.

The previous prime is 2263473629981. The next prime is 2263473630017. The reversal of 2263473630000 is 363743622.

2263473630000 is a `hidden beast` number, since 2 + 2 + 6 + 347 + 3 + 6 + 300 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (600).

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 99978682 + ... + 100001318.

Almost surely, 22263473630000 is an apocalyptic number.

2263473630000 is a gapful number since it is divisible by the number (20) 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 2263473630000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4360593044808).

2263473630000 is an abundant number, since it is smaller than the sum of its proper divisors (6457712459616).

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

2263473630000 is a wasteful number, since it uses less digits than its factorization.

2263473630000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22783 (or 22759 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 36.

The spelling of 2263473630000 in words is "two trillion, two hundred sixty-three billion, four hundred seventy-three million, six hundred thirty thousand".