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11024277152 = 257229242441
BaseRepresentation
bin10100100010001100…
…10001111010100000
31001110022010022020012
422101012101322200
5140034203332102
65021532304052
7540122544500
oct122106217240
931408108205
1011024277152
114747a0a659
122178012028
131068c77825
147681cda00
15447c87752
hex291191ea0

11024277152 has 72 divisors (see below), whose sum is σ = 26118276660. Its totient is φ = 4561751040.

The previous prime is 11024277059. The next prime is 11024277193. The reversal of 11024277152 is 25177242011.

It can be written as a sum of positive squares in 2 ways, for example, as 10983878416 + 40398736 = 104804^2 + 6356^2 .

It is a super-2 number, since 2×110242771522 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 75749 + ... + 166692.

Almost surely, 211024277152 is an apocalyptic number.

It is an amenable number.

11024277152 is an abundant number, since it is smaller than the sum of its proper divisors (15093999508).

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

11024277152 is a wasteful number, since it uses less digits than its factorization.

11024277152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242494 (or 242479 counting only the distinct ones).

The product of its (nonzero) digits is 7840, while the sum is 32.

The spelling of 11024277152 in words is "eleven billion, twenty-four million, two hundred seventy-seven thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 29 32 49 56 58 98 112 116 196 203 224 232 392 406 464 784 812 928 1421 1568 1624 2842 3248 5684 6496 11368 22736 45472 242441 484882 969764 1697087 1939528 3394174 3879056 6788348 7030789 7758112 11879609 13576696 14061578 23759218 27153392 28123156 47518436 49215523 54306784 56246312 95036872 98431046 112492624 190073744 196862092 224985248 344508661 380147488 393724184 689017322 787448368 1378034644 1574896736 2756069288 5512138576 11024277152