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10988403400 = 2352134226309
BaseRepresentation
bin10100011101111010…
…11011101011001000
31001100210121201200201
422032331123223020
5140001012402100
65014211341544
7536205613342
oct121675335310
931323551621
1010988403400
114729738127
122167bb18b4
1310616c7160
14763532292
15444a4d36a
hex28ef5bac8

10988403400 has 48 divisors (see below), whose sum is σ = 27513278100. Its totient is φ = 4057255680.

The previous prime is 10988403383. The next prime is 10988403403. The reversal of 10988403400 is 430488901.

It can be written as a sum of positive squares in 6 ways, for example, as 5087398276 + 5901005124 = 71326^2 + 76818^2 .

It is a super-2 number, since 2×109884034002 (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 10988403400.

It is not an unprimeable number, because it can be changed into a prime (10988403403) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 2110555 + ... + 2115754.

Almost surely, 210988403400 is an apocalyptic number.

10988403400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10988403400 is an abundant number, since it is smaller than the sum of its proper divisors (16524874700).

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

10988403400 is a wasteful number, since it uses less digits than its factorization.

10988403400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4226338 (or 4226329 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 37.

The spelling of 10988403400 in words is "ten billion, nine hundred eighty-eight million, four hundred three thousand, four hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 200 260 325 520 650 1300 2600 4226309 8452618 16905236 21131545 33810472 42263090 54942017 84526180 105657725 109884034 169052360 211315450 219768068 274710085 422630900 439536136 549420170 845261800 1098840340 1373550425 2197680680 2747100850 5494201700 10988403400