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4623948426240 = 210345111377969
BaseRepresentation
bin100001101001001100011…
…0011011010110000000000
3121101001012220201212020000
41003102120303122300000
51101224321244114430
613500113530120000
7655032516060603
oct103223063326000
917331186655200
104623948426240
111523007382270
1262819ab80000
13277062165750
1411db2c03633a
158042d52ce60
hex43498cdac00

4623948426240 has 880 divisors, whose sum is σ = 19466652633120. Its totient is φ = 1034716446720.

The previous prime is 4623948426203. The next prime is 4623948426247. The reversal of 4623948426240 is 426248493264.

It is a happy number.

4623948426240 is a `hidden beast` number, since 4 + 6 + 2 + 3 + 9 + 4 + 8 + 4 + 2 + 624 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (880).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (4623948426247) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 59265976 + ... + 59343944.

It is an arithmetic number, because the mean of its divisors is an integer number (22121196174).

Almost surely, 24623948426240 is an apocalyptic number.

4623948426240 is a gapful number since it is divisible by the number (40) 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 4623948426240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9733326316560).

4623948426240 is an abundant number, since it is smaller than the sum of its proper divisors (14842704206880).

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

4623948426240 is a wasteful number, since it uses less digits than its factorization.

4623948426240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78030 (or 78003 counting only the distinct ones).

The product of its (nonzero) digits is 15925248, while the sum is 54.

The spelling of 4623948426240 in words is "four trillion, six hundred twenty-three billion, nine hundred forty-eight million, four hundred twenty-six thousand, two hundred forty".