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1482203220432 = 243112255200279
BaseRepresentation
bin10101100100011010001…
…100100100100111010000
312020200211021212001201120
4111210122030210213100
5143241023011023212
63052525331002240
7212041243332564
oct25443214444720
95220737761646
101482203220432
11521665093500
121bb316a39380
13a9a0432a0cc
1451a4bc1d6a4
152884ec8488c
hex1591a3249d0

1482203220432 has 60 divisors (see below), whose sum is σ = 4208763017760. Its totient is φ = 449152489280.

The previous prime is 1482203220431. The next prime is 1482203220437. The reversal of 1482203220432 is 2340223022841.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 1482203220393 and 1482203220402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1482203220431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 127594332 + ... + 127605947.

It is an arithmetic number, because the mean of its divisors is an integer number (70146050296).

Almost surely, 21482203220432 is an apocalyptic number.

1482203220432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1482203220432 is an abundant number, since it is smaller than the sum of its proper divisors (2726559797328).

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

1482203220432 is a wasteful number, since it uses less digits than its factorization.

1482203220432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255200312 (or 255200295 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

The spelling of 1482203220432 in words is "one trillion, four hundred eighty-two billion, two hundred three million, two hundred twenty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 121 132 176 242 264 363 484 528 726 968 1452 1936 2904 5808 255200279 510400558 765600837 1020801116 1531201674 2041602232 2807203069 3062403348 4083204464 5614406138 6124806696 8421609207 11228812276 12249613392 16843218414 22457624552 30879233759 33686436828 44915249104 61758467518 67372873656 92637701277 123516935036 134745747312 185275402554 247033870072 370550805108 494067740144 741101610216 1482203220432