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48026259456000 = 2153537231283
BaseRepresentation
bin10101110101101111111000…
…01000101000000000000000
320022001021011121002222211020
422322313330020220000000
522243330234410043000
6250050543051345440
713054532323542600
oct1272677410500000
9208037147088736
1048026259456000
111433690546a261
125477989152280
1320a4b1a605a67
14bc06aa4aac00
155844171d6ba0
hex2badfc228000

48026259456000 has 2304 divisors, whose sum is σ = 194429107978560. Its totient is φ = 10495328256000.

The previous prime is 48026259455971. The next prime is 48026259456041. The reversal of 48026259456000 is 65495262084.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 578629631959 + ... + 578629632041.

Almost surely, 248026259456000 is an apocalyptic number.

48026259456000 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 48026259456000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97214553989280).

48026259456000 is an abundant number, since it is smaller than the sum of its proper divisors (146402848522560).

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

48026259456000 is an frugal number, since it uses more digits than its factorization.

48026259456000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 51.

The spelling of 48026259456000 in words is "forty-eight trillion, twenty-six billion, two hundred fifty-nine million, four hundred fifty-six thousand".