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1485156568900 = 22521218672
BaseRepresentation
bin10101100111001010001…
…110101100111101000100
312020222110010002201012011
4111213022032230331010
5143313100040201100
63054134351304004
7212204364355144
oct25471216547504
95228403081164
101485156568900
1152294018a964
121bb9bbb1b004
13aa085159394
1451c4c160924
15289741b0bba
hex159ca3acf44

1485156568900 has 27 divisors (see below), whose sum is σ = 3222816199869. Its totient is φ = 594057752880.

The previous prime is 1485156568879. The next prime is 1485156568901. The reversal of 1485156568900 is 98656515841.

The square root of 1485156568900 is 1218670.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 534656364804 + 950500204096 = 731202^2 + 974936^2 .

It is a super-3 number, since 3×14851565689003 (a number of 37 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1485156568901) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 12125767 + ... + 12247633.

Almost surely, 21485156568900 is an apocalyptic number.

1485156568900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1485156568900 is the 1218670-th square number.

It is an amenable number.

1485156568900 is an abundant number, since it is smaller than the sum of its proper divisors (1737659630969).

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

1485156568900 is an frugal number, since it uses more digits than its factorization.

1485156568900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243748 (or 121874 counting only the distinct ones).

The product of its (nonzero) digits is 10368000, while the sum is 58.

The spelling of 1485156568900 in words is "one trillion, four hundred eighty-five billion, one hundred fifty-six million, five hundred sixty-eight thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 121867 243734 487468 609335 1218670 2437340 3046675 6093350 12186700 14851565689 29703131378 59406262756 74257828445 148515656890 297031313780 371289142225 742578284450 1485156568900