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485752280832 = 28337132333577
BaseRepresentation
bin1110001000110010001…
…01111001011100000000
31201102210220121120212000
413010121011321130000
530424310040441312
61011052421104000
750044252155450
oct7043105713400
91642726546760
10485752280832
11178008554185
127a185558000
1336a63417710
1419720ca5d60
15c97edbbadc
hex7119179700

485752280832 has 576 divisors, whose sum is σ = 1844866652160. Its totient is φ = 122536820736.

The previous prime is 485752280789. The next prime is 485752280837. The reversal of 485752280832 is 238082257584.

485752280832 is a `hidden beast` number, since 4 + 8 + 5 + 7 + 522 + 80 + 8 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×4857522808322 (a number of 24 digits) contains 22 as substring.

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 (485752280837) 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, 14450028 + ... + 14483604.

Almost surely, 2485752280832 is an apocalyptic number.

485752280832 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 485752280832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (922433326080).

485752280832 is an abundant number, since it is smaller than the sum of its proper divisors (1359114371328).

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

485752280832 is a wasteful number, since it uses less digits than its factorization.

485752280832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33645 (or 33625 counting only the distinct ones).

The product of its (nonzero) digits is 8601600, while the sum is 54.

The spelling of 485752280832 in words is "four hundred eighty-five billion, seven hundred fifty-two million, two hundred eighty thousand, eight hundred thirty-two".