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11228978640 = 24351129146669
BaseRepresentation
bin10100111010100110…
…01001110111010000
31001222120022012212210
422131103021313100
5140444104304030
65054123552120
7545156513025
oct123523116720
931876265783
1011228978640
114842513940
12221468b640
13109c4b9a79
1478747754c
1545ac1ebb0
hex29d4c9dd0

11228978640 has 160 divisors (see below), whose sum is σ = 39284092800. Its totient is φ = 2628290560.

The previous prime is 11228978639. The next prime is 11228978653. The reversal of 11228978640 is 4687982211.

It is a happy number.

11228978640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×112289786402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 11228978640.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3226 + ... + 149894.

It is an arithmetic number, because the mean of its divisors is an integer number (245525580).

Almost surely, 211228978640 is an apocalyptic number.

11228978640 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 11228978640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19642046400).

11228978640 is an abundant number, since it is smaller than the sum of its proper divisors (28055114160).

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

11228978640 is a wasteful number, since it uses less digits than its factorization.

11228978640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146725 (or 146719 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 48.

The spelling of 11228978640 in words is "eleven billion, two hundred twenty-eight million, nine hundred seventy-eight thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 29 30 33 40 44 48 55 58 60 66 80 87 88 110 116 120 132 145 165 174 176 220 232 240 264 290 319 330 348 435 440 464 528 580 638 660 696 870 880 957 1160 1276 1320 1392 1595 1740 1914 2320 2552 2640 3190 3480 3828 4785 5104 6380 6960 7656 9570 12760 15312 19140 25520 38280 76560 146669 293338 440007 586676 733345 880014 1173352 1466690 1613359 1760028 2200035 2346704 2933380 3226718 3520056 4253401 4400070 4840077 5866760 6453436 7040112 8066795 8506802 8800140 9680154 11733520 12760203 12906872 16133590 17013604 17600280 19360308 21267005 24200385 25520406 25813744 32267180 34027208 35200560 38720616 42534010 46787411 48400770 51040812 63801015 64534360 68054416 77441232 85068020 93574822 96801540 102081624 127602030 129068720 140362233 170136040 187149644 193603080 204163248 233937055 255204060 280724466 340272080 374299288 387206160 467874110 510408120 561448932 701811165 748598576 935748220 1020816240 1122897864 1403622330 1871496440 2245795728 2807244660 3742992880 5614489320 11228978640