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11614753040 = 2451196713649
BaseRepresentation
bin10101101000100101…
…10001000100010000
31002222110012120212112
422310102301010100
5142241334044130
65200304244452
7560552525522
oct126422610420
932873176775
1011614753040
114a20252960
122301910728
1311313ba347
147c27b7a12
1547ea23495
hex2b44b1110

11614753040 has 80 divisors (see below), whose sum is σ = 29491862400. Its totient is φ = 4218869760.

The previous prime is 11614753037. The next prime is 11614753057. The reversal of 11614753040 is 4035741611.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 11614752988 and 11614753006.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 844136 + ... + 857784.

It is an arithmetic number, because the mean of its divisors is an integer number (368648280).

Almost surely, 211614753040 is an apocalyptic number.

11614753040 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 11614753040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14745931200).

11614753040 is an abundant number, since it is smaller than the sum of its proper divisors (17877109360).

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

11614753040 is a wasteful number, since it uses less digits than its factorization.

11614753040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14640 (or 14634 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 32.

The spelling of 11614753040 in words is "eleven billion, six hundred fourteen million, seven hundred fifty-three thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 967 1934 3868 4835 7736 9670 10637 13649 15472 19340 21274 27298 38680 42548 53185 54596 68245 77360 85096 106370 109192 136490 150139 170192 212740 218384 272980 300278 425480 545960 600556 750695 850960 1091920 1201112 1501390 2402224 3002780 6005560 12011120 13198583 26397166 52794332 65992915 105588664 131985830 145184413 211177328 263971660 290368826 527943320 580737652 725922065 1055886640 1161475304 1451844130 2322950608 2903688260 5807376520 11614753040