Search a number
-
+
11398735728 = 2432671181461
BaseRepresentation
bin10101001110110101…
…01110011101110000
31002102101201202211100
422213122232131300
5141321034020403
65123030244400
7552320440452
oct124732563560
932371652740
1011398735728
11491a31a956
1222614b6700
1310c8715653
147a1c262d2
1546aaa32a3
hex2a76ae770

11398735728 has 60 divisors (see below), whose sum is σ = 32376784648. Its totient is φ = 3742865280.

The previous prime is 11398735723. The next prime is 11398735757. The reversal of 11398735728 is 82753789311.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11398735723) 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, 581083 + ... + 600378.

Almost surely, 211398735728 is an apocalyptic number.

11398735728 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

11398735728 is an abundant number, since it is smaller than the sum of its proper divisors (20978048920).

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

11398735728 is a wasteful number, since it uses less digits than its factorization.

11398735728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1181542 (or 1181533 counting only the distinct ones).

The product of its digits is 2540160, while the sum is 54.

The spelling of 11398735728 in words is "eleven billion, three hundred ninety-eight million, seven hundred thirty-five thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 67 72 134 144 201 268 402 536 603 804 1072 1206 1608 2412 3216 4824 9648 1181461 2362922 3544383 4725844 7088766 9451688 10633149 14177532 18903376 21266298 28355064 42532596 56710128 79157887 85065192 158315774 170130384 237473661 316631548 474947322 633263096 712420983 949894644 1266526192 1424841966 1899789288 2849683932 3799578576 5699367864 11398735728