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48974103360 = 26375713769
BaseRepresentation
bin101101100111000101…
…011000001101000000
311200102002102020000000
4231213011120031000
51300244332301420
634255353000000
73352424003310
oct554705301500
9150362366000
1048974103360
1119851671796
1295a93b3000
1348063664b0
1425283a1440
15141979a690
hexb67158340

48974103360 has 896 divisors, whose sum is σ = 215544806400. Its totient is φ = 10319560704.

The previous prime is 48974103341. The next prime is 48974103379. The reversal of 48974103360 is 6330147984.

48974103360 is a `hidden beast` number, since 489 + 7 + 4 + 103 + 3 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (48974103341) and next prime (48974103379).

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

It is a congruent number.

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, 63685056 + ... + 63685824.

It is an arithmetic number, because the mean of its divisors is an integer number (240563400).

Almost surely, 248974103360 is an apocalyptic number.

48974103360 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 48974103360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107772403200).

48974103360 is an abundant number, since it is smaller than the sum of its proper divisors (166570703040).

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

48974103360 is an equidigital number, since it uses as much as digits as its factorization.

48974103360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 827 (or 799 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 48974103360 in words is "forty-eight billion, nine hundred seventy-four million, one hundred three thousand, three hundred sixty".