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48809032272 = 243371121331331
BaseRepresentation
bin101101011101001111…
…101011101001010000
311122222120210202001000
4231131033223221100
51244430103013042
634231134542000
73345350633430
oct553517535120
9148876722030
1048809032272
1119777476400
129562067900
1347ab0bb7b0
1425104b22c0
15140a04074c
hexb5d3eba50

48809032272 has 960 divisors, whose sum is σ = 196236328960. Its totient is φ = 11290752000.

The previous prime is 48809032271. The next prime is 48809032409. The reversal of 48809032272 is 27223090884.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48809032271) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 147459147 + ... + 147459477.

Almost surely, 248809032272 is an apocalyptic number.

48809032272 is a gapful number since it is divisible by the number (42) 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 48809032272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98118164480).

48809032272 is an abundant number, since it is smaller than the sum of its proper divisors (147427296688).

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

48809032272 is a wasteful number, since it uses less digits than its factorization.

48809032272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 48809032272 in words is "forty-eight billion, eight hundred nine million, thirty-two thousand, two hundred seventy-two".