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48467535600 = 243521133111093
BaseRepresentation
bin101101001000111000…
…111110011011110000
311122002210012220200010
4231020320332123300
51243230142114400
634133215254520
73334033153341
oct551070763360
9148083186603
1048467535600
1119611729950
12948781a440
134755421b63
1424badba0c8
1513da086450
hexb48e3e6f0

48467535600 has 240 divisors, whose sum is σ = 169899018624. Its totient is φ = 11713152000.

The previous prime is 48467535587. The next prime is 48467535643. The reversal of 48467535600 is 653576484.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 48467535600.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4363654 + ... + 4374746.

Almost surely, 248467535600 is an apocalyptic number.

48467535600 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 48467535600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84949509312).

48467535600 is an abundant number, since it is smaller than the sum of its proper divisors (121431483024).

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

48467535600 is a wasteful number, since it uses less digits than its factorization.

48467535600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11456 (or 11445 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 48.

The spelling of 48467535600 in words is "forty-eight billion, four hundred sixty-seven million, five hundred thirty-five thousand, six hundred".