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11393392140 = 223251320872333
BaseRepresentation
bin10101001110001100…
…10101111000001100
31002102000200021210200
422213012111320030
5141313202022030
65122315533500
7552224143464
oct124706257014
932360607720
1011393392140
114917300169
12225b75a290
1310c7594370
147a1234ba4
1546a399d60
hex2a7195e0c

11393392140 has 144 divisors (see below), whose sum is σ = 37252208448. Its totient is φ = 2801981952.

The previous prime is 11393392121. The next prime is 11393392151. The reversal of 11393392140 is 4129339311.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 11393392095 and 11393392104.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4882414 + ... + 4884746.

It is an arithmetic number, because the mean of its divisors is an integer number (258695892).

Almost surely, 211393392140 is an apocalyptic number.

11393392140 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 11393392140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18626104224).

11393392140 is an abundant number, since it is smaller than the sum of its proper divisors (25858816308).

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

11393392140 is a wasteful number, since it uses less digits than its factorization.

11393392140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4448 (or 4443 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The spelling of 11393392140 in words is "eleven billion, three hundred ninety-three million, three hundred ninety-two thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2087 2333 2340 4174 4666 6261 6999 8348 9332 10435 11665 12522 13998 18783 20870 20997 23330 25044 27131 27996 30329 31305 34995 37566 41740 41994 46660 54262 60658 62610 69990 75132 81393 83988 90987 93915 104985 108524 121316 125220 135655 139980 151645 162786 181974 187830 209970 244179 271310 272961 303290 325572 363948 375660 406965 419940 454935 488358 542620 545922 606580 813930 909870 976716 1091844 1220895 1364805 1627860 1819740 2441790 2729610 4868971 4883580 5459220 9737942 14606913 19475884 24344855 29213826 43820739 48689710 58427652 63296623 73034565 87641478 97379420 126593246 146069130 175282956 189889869 219103695 253186492 292138260 316483115 379779738 438207390 569669607 632966230 759559476 876414780 949449345 1139339214 1265932460 1898898690 2278678428 2848348035 3797797380 5696696070 11393392140