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4988254233600 = 2103652112472
BaseRepresentation
bin100100010010110101100…
…0111110010010000000000
3122122212120000101101000000
41020211223013302100000
51123211421040433400
614335323344000000
71023250406252211
oct110455307622000
918585500341000
104988254233600
111653563520400
12686910300000
132a250c7c5131
1413360b827408
1589b5146e600
hex4896b1f2400

4988254233600 has 2079 divisors, whose sum is σ = 20820104188681. Its totient is φ = 1183544524800.

The previous prime is 4988254233583. The next prime is 4988254233601. The reversal of 4988254233600 is 63324528894.

The square root of 4988254233600 is 2233440.

It is a perfect power (a square), and thus also a powerful number.

4988254233600 is a `hidden beast` number, since 4 + 9 + 8 + 8 + 2 + 5 + 4 + 23 + 3 + 600 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1795771524096 + 3192482709504 = 1340064^2 + 1786752^2 .

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4988254233601) by changing a digit.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 106133068777 + ... + 106133068823.

Almost surely, 24988254233600 is an apocalyptic number.

4988254233600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

4988254233600 is the 2233440-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4988254233600

4988254233600 is an abundant number, since it is smaller than the sum of its proper divisors (15831849955081).

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

4988254233600 is an equidigital number, since it uses as much as digits as its factorization.

4988254233600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 4988254233600 in words is "four trillion, nine hundred eighty-eight billion, two hundred fifty-four million, two hundred thirty-three thousand, six hundred".