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1482163311552 = 2637211412711289
BaseRepresentation
bin10101100100010111110…
…100010101001111000000
312020200201111202111000220
4111210113310111033000
5143240432301432202
63052521343343040
7212040250164300
oct25442764251700
95220644674026
101482163311552
11521644605360
121bb3055b1a80
13a99c8c95ba1
1451a467d1600
152884b4eeabc
hex15917d153c0

1482163311552 has 672 divisors, whose sum is σ = 5120680965120. Its totient is φ = 373911552000.

The previous prime is 1482163311539. The next prime is 1482163311569. The reversal of 1482163311552 is 2551133612841.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×14821633115522 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 95 ways as a sum of consecutive naturals, for example, 1149854524 + ... + 1149855812.

It is an arithmetic number, because the mean of its divisors is an integer number (7620060960).

Almost surely, 21482163311552 is an apocalyptic number.

1482163311552 is a gapful number since it is divisible by the number (12) 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 1482163311552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2560340482560).

1482163311552 is an abundant number, since it is smaller than the sum of its proper divisors (3638517653568).

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

1482163311552 is a wasteful number, since it uses less digits than its factorization.

1482163311552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1641 (or 1624 counting only the distinct ones).

The product of its digits is 172800, while the sum is 42.

The spelling of 1482163311552 in words is "one trillion, four hundred eighty-two billion, one hundred sixty-three million, three hundred eleven thousand, five hundred fifty-two".