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48639467520 = 213335761103
BaseRepresentation
bin101101010011001000…
…110110000000000000
311122112202201221221000
4231103020312000000
51244103200430040
634202240332000
73341221436520
oct552310660000
9148482657830
1048639467520
111969a790946
129515314000
134781c2c617
1424d5b73680
1513ea1e9130
hexb53236000

48639467520 has 896 divisors, whose sum is σ = 202824161280. Its totient is φ = 10829168640.

The previous prime is 48639467509. The next prime is 48639467521. The reversal of 48639467520 is 2576493684.

48639467520 is a `hidden beast` number, since 4 + 86 + 39 + 4 + 6 + 7 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (896).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48639467521) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 472227789 + ... + 472227891.

Almost surely, 248639467520 is an apocalyptic number.

48639467520 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 48639467520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101412080640).

48639467520 is an abundant number, since it is smaller than the sum of its proper divisors (154184693760).

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

48639467520 is a wasteful number, since it uses less digits than its factorization.

48639467520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 48639467520 in words is "forty-eight billion, six hundred thirty-nine million, four hundred sixty-seven thousand, five hundred twenty".