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2378691986112 = 263213312615419
BaseRepresentation
bin100010100111010101000…
…101110100001011000000
322102101211010121221222100
4202213111011310023000
5302433030122023422
65020431144310400
7333566130163431
oct42472505641300
98371733557870
102378691986112
11837885682a52
1232500b172400
13143404515270
14831b4b61488
1541d1ddd57ac
hex229d51742c0

2378691986112 has 504 divisors, whose sum is σ = 7712857960080. Its totient is φ = 696555417600.

The previous prime is 2378691986093. The next prime is 2378691986117. The reversal of 2378691986112 is 2116891968732.

2378691986112 is a `hidden beast` number, since 2 + 3 + 7 + 8 + 6 + 9 + 1 + 9 + 8 + 611 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2378691986112.

It is not an unprimeable number, because it can be changed into a prime (2378691986117) 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 71 ways as a sum of consecutive naturals, for example, 438951339 + ... + 438956757.

Almost surely, 22378691986112 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 2378691986112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3856428980040).

2378691986112 is an abundant number, since it is smaller than the sum of its proper divisors (5334165973968).

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

2378691986112 is a wasteful number, since it uses less digits than its factorization.

2378691986112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5573 (or 5529 counting only the distinct ones).

The product of its digits is 15676416, while the sum is 63.

The spelling of 2378691986112 in words is "two trillion, three hundred seventy-eight billion, six hundred ninety-one million, nine hundred eighty-six thousand, one hundred twelve".