Search a number
-
+
10552000000 = 29561319
BaseRepresentation
bin10011101001111001…
…01011111000000000
31000020101110010202211
421310330223320000
5133102303000000
64503021551504
7522326343253
oct116474537000
930211403684
1010552000000
114525368863
122065a15594
13cc217b0a9
147215b309a
1541b5987ba
hex274f2be00

10552000000 has 140 divisors (see below), whose sum is σ = 26373881160. Its totient is φ = 4217600000.

The previous prime is 10551999971. The next prime is 10552000009. The reversal of 10552000000 is 25501.

It is a super-2 number, since 2×105520000002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10552000009) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 7999341 + ... + 8000659.

Almost surely, 210552000000 is an apocalyptic number.

10552000000 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 10552000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13186940580).

10552000000 is an abundant number, since it is smaller than the sum of its proper divisors (15821881160).

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

10552000000 is an frugal number, since it uses more digits than its factorization.

10552000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1367 (or 1326 counting only the distinct ones).

The product of its (nonzero) digits is 50, while the sum is 13.

Adding to 10552000000 its reverse (25501), we get a palindrome (10552025501).

The spelling of 10552000000 in words is "ten billion, five hundred fifty-two million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 512 625 640 800 1000 1250 1280 1319 1600 2000 2500 2560 2638 3125 3200 4000 5000 5276 6250 6400 6595 8000 10000 10552 12500 12800 13190 15625 16000 20000 21104 25000 26380 31250 32000 32975 40000 42208 50000 52760 62500 64000 65950 80000 84416 100000 105520 125000 131900 160000 164875 168832 200000 211040 250000 263800 320000 329750 337664 400000 422080 500000 527600 659500 675328 800000 824375 844160 1000000 1055200 1319000 1600000 1648750 1688320 2000000 2110400 2638000 3297500 3376640 4000000 4121875 4220800 5276000 6595000 8000000 8243750 8441600 10552000 13190000 16487500 16883200 20609375 21104000 26380000 32975000 41218750 42208000 52760000 65950000 82437500 84416000 105520000 131900000 164875000 211040000 263800000 329750000 422080000 527600000 659500000 1055200000 1319000000 2110400000 2638000000 5276000000 10552000000