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2378243911680 = 212335713151313
BaseRepresentation
bin100010100110111010011…
…000100011000000000000
322102100122220111102102000
4202212322120203000000
5302431120420133210
65020314500424000
7333552046464120
oct42467230430000
98370586442360
102378243911680
11837675761aaa
12324b050a8000
13143362740b70
1483171444c80
1541ce48c7ac0
hex229ba623000

2378243911680 has 1664 divisors, whose sum is σ = 10508468490240. Its totient is φ = 496867737600.

The previous prime is 2378243911657. The next prime is 2378243911691. The reversal of 2378243911680 is 861193428732.

It is a happy number.

2378243911680 is a `hidden beast` number, since 2 + 3 + 78 + 24 + 391 + 168 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1664).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7598223204 + ... + 7598223516.

Almost surely, 22378243911680 is an apocalyptic number.

2378243911680 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 2378243911680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5254234245120).

2378243911680 is an abundant number, since it is smaller than the sum of its proper divisors (8130224578560).

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

2378243911680 is a wasteful number, since it uses less digits than its factorization.

2378243911680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 522 (or 494 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 2378243911680 in words is "two trillion, three hundred seventy-eight billion, two hundred forty-three million, nine hundred eleven thousand, six hundred eighty".