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963423630048 = 2531121133113063
BaseRepresentation
bin11100000010100001000…
…01011111001011100000
310102002202122112022111110
432001100201133023200
5111241042422130143
62014331331543320
7126414351510645
oct16012041371340
93362678468443
10963423630048
11341649582880
1213687475ab40
136cb095c3899
14348b6837dcc
151a0da603533
hexe05085f2e0

963423630048 has 192 divisors, whose sum is σ = 2780557645824. Its totient is φ = 289662912000.

The previous prime is 963423630011. The next prime is 963423630067. The reversal of 963423630048 is 840036324369.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 963423629979 and 963423630006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73745565 + ... + 73758627.

It is an arithmetic number, because the mean of its divisors is an integer number (14482071072).

Almost surely, 2963423630048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 963423630048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1390278822912).

963423630048 is an abundant number, since it is smaller than the sum of its proper divisors (1817134015776).

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

963423630048 is a wasteful number, since it uses less digits than its factorization.

963423630048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13629 (or 13621 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 48.

The spelling of 963423630048 in words is "nine hundred sixty-three billion, four hundred twenty-three million, six hundred thirty thousand, forty-eight".