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11309928640 = 265175339227
BaseRepresentation
bin10101000100001111…
…11101000011000000
31002012012121220101221
422202013331003000
5141130320204030
65110135004424
7550161543613
oct124207750300
932165556357
1011309928640
11488418386a
122237809714
1310b31c068a
1479410a17a
15462daee7a
hex2a21fd0c0

11309928640 has 112 divisors (see below), whose sum is σ = 29054767392. Its totient is φ = 4177412096.

The previous prime is 11309928607. The next prime is 11309928647. The reversal of 11309928640 is 4682990311.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (11309928647) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 268707 + ... + 307933.

It is an arithmetic number, because the mean of its divisors is an integer number (259417566).

Almost surely, 211309928640 is an apocalyptic number.

11309928640 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 11309928640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14527383696).

11309928640 is an abundant number, since it is smaller than the sum of its proper divisors (17744838752).

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

11309928640 is a wasteful number, since it uses less digits than its factorization.

11309928640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39314 (or 39304 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 43.

The spelling of 11309928640 in words is "eleven billion, three hundred nine million, nine hundred twenty-eight thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 53 64 68 80 85 106 136 160 170 212 265 272 320 340 424 530 544 680 848 901 1060 1088 1360 1696 1802 2120 2720 3392 3604 4240 4505 5440 7208 8480 9010 14416 16960 18020 28832 36040 39227 57664 72080 78454 144160 156908 196135 288320 313816 392270 627632 666859 784540 1255264 1333718 1569080 2079031 2510528 2667436 3138160 3334295 4158062 5334872 6276320 6668590 8316124 10395155 10669744 12552640 13337180 16632248 20790310 21339488 26674360 33264496 35343527 41580620 42678976 53348720 66528992 70687054 83161240 106697440 133057984 141374108 166322480 176717635 213394880 282748216 332644960 353435270 565496432 665289920 706870540 1130992864 1413741080 2261985728 2827482160 5654964320 11309928640