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2423923015680 = 217325616737
BaseRepresentation
bin100011010001011101000…
…100100000000000000000
322120201120100210100000200
4203101131010200000000
5304203143243000210
65053311310245200
7340060033453335
oct43213504400000
98521510710020
102423923015680
11854a86394a21
12331932ab6800
1314776225619a
1485465d6c98c
15430b9c5c0c0
hex2345d120000

2423923015680 has 432 divisors, whose sum is σ = 8541921266424. Its totient is φ = 635688714240.

The previous prime is 2423923015667. The next prime is 2423923015699. The reversal of 2423923015680 is 865103293242.

2423923015680 is a `hidden beast` number, since 2 + 4 + 2 + 392 + 30 + 156 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1272817188864 + 1151105826816 = 1128192^2 + 1072896^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 359789272 + ... + 359796008.

Almost surely, 22423923015680 is an apocalyptic number.

2423923015680 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 2423923015680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4270960633212).

2423923015680 is an abundant number, since it is smaller than the sum of its proper divisors (6117998250744).

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

2423923015680 is an frugal number, since it uses more digits than its factorization.

2423923015680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6843 (or 6808 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 2423923015680 in words is "two trillion, four hundred twenty-three billion, nine hundred twenty-three million, fifteen thousand, six hundred eighty".