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15031320400 = 245267355837
BaseRepresentation
bin11011111111110111…
…11011111101010000
31102210120002012012101
431333323323331100
5221241004223100
610523313210144
71041330054355
oct157773737520
942716065171
1015031320400
116413874548
122ab5b60954
131557194035
14a2845862c
155ce94e86a
hex37fefbf50

15031320400 has 60 divisors (see below), whose sum is σ = 36167054332. Its totient is φ = 6003486720.

The previous prime is 15031320391. The next prime is 15031320419. The reversal of 15031320400 is 402313051.

It can be written as a sum of positive squares in 6 ways, for example, as 267126336 + 14764194064 = 16344^2 + 121508^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 241282 + ... + 297118.

Almost surely, 215031320400 is an apocalyptic number.

15031320400 is a gapful number since it is divisible by the number (10) 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 15031320400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18083527166).

15031320400 is an abundant number, since it is smaller than the sum of its proper divisors (21135733932).

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

15031320400 is a wasteful number, since it uses less digits than its factorization.

15031320400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56528 (or 56517 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

Adding to 15031320400 its reverse (402313051), we get a palindrome (15433633451).

The spelling of 15031320400 in words is "fifteen billion, thirty-one million, three hundred twenty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 673 1346 2692 3365 5384 6730 10768 13460 16825 26920 33650 53840 55837 67300 111674 134600 223348 269200 279185 446696 558370 893392 1116740 1395925 2233480 2791850 4466960 5583700 11167400 22334800 37578301 75156602 150313204 187891505 300626408 375783010 601252816 751566020 939457525 1503132040 1878915050 3006264080 3757830100 7515660200 15031320400