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1213463623680 = 211325711307557
BaseRepresentation
bin10001101010001000000…
…100010111100000000000
311022000011100220001120100
4101222020010113200000
5124340133141424210
62325242452442400
7153445521421140
oct21521004274000
94260140801510
101213463623680
11428699642910
12177216619400
138a576a46439
1442a3669a920
1521871bbc5c0
hex11a88117800

1213463623680 has 1152 divisors, whose sum is σ = 5269927703040. Its totient is φ = 250875740160.

The previous prime is 1213463623667. The next prime is 1213463623721. The reversal of 1213463623680 is 863263643121.

1213463623680 is a `hidden beast` number, since 1 + 2 + 1 + 3 + 4 + 636 + 2 + 3 + 6 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2178569962 + ... + 2178570518.

It is an arithmetic number, because the mean of its divisors is an integer number (4574590020).

Almost surely, 21213463623680 is an apocalyptic number.

1213463623680 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 1213463623680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2634963851520).

1213463623680 is an abundant number, since it is smaller than the sum of its proper divisors (4056464079360).

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

1213463623680 is a wasteful number, since it uses less digits than its factorization.

1213463623680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 915 (or 892 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 1213463623680 in words is "one trillion, two hundred thirteen billion, four hundred sixty-three million, six hundred twenty-three thousand, six hundred eighty".