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11055053800 = 2352711936619
BaseRepresentation
bin10100100101110111…
…01011101111101000
31001112110000220212001
422102323223233220
5140120043210200
65024552100344
7540645256360
oct122273535750
931473026761
1011055053800
1147633205aa
1221863946b4
13107246216b
1476c3219a0
1544a81676a
hex292eebbe8

11055053800 has 96 divisors (see below), whose sum is σ = 29403921600. Its totient is φ = 3786554880.

The previous prime is 11055053759. The next prime is 11055053857. The reversal of 11055053800 is 835055011.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1666891 + ... + 1673509.

It is an arithmetic number, because the mean of its divisors is an integer number (306290850).

Almost surely, 211055053800 is an apocalyptic number.

11055053800 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 11055053800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14701960800).

11055053800 is an abundant number, since it is smaller than the sum of its proper divisors (18348867800).

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

11055053800 is a wasteful number, since it uses less digits than its factorization.

11055053800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7835 (or 7826 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 28.

It can be divided in two parts, 1105505 and 3800, that added together give a triangular number (1109305 = T1489).

The spelling of 11055053800 in words is "eleven billion, fifty-five million, fifty-three thousand, eight hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 700 1193 1400 2386 4772 5965 6619 8351 9544 11930 13238 16702 23860 26476 29825 33095 33404 41755 46333 47720 52952 59650 66190 66808 83510 92666 119300 132380 165475 167020 185332 208775 231665 238600 264760 330950 334040 370664 417550 463330 661900 835100 926660 1158325 1323800 1670200 1853320 2316650 4633300 7896467 9266600 15792934 31585868 39482335 55275269 63171736 78964670 110550538 157929340 197411675 221101076 276376345 315858680 394823350 442202152 552752690 789646700 1105505380 1381881725 1579293400 2211010760 2763763450 5527526900 11055053800