Search a number
-
+
11006427640 = 23513176120411
BaseRepresentation
bin10100100000000100…
…01100000111111000
31001102001112110022011
422100002030013320
5140020121141030
65020053535304
7536515043215
oct122002140770
931361473264
1011006427640
114738928a9a
122172044534
1310653681a0
14765aa4b0c
1544640db2a
hex29008c1f8

11006427640 has 128 divisors (see below), whose sum is σ = 28702537920. Its totient is φ = 3761971200.

The previous prime is 11006427611. The next prime is 11006427667. The reversal of 11006427640 is 4672460011.

It is a super-2 number, since 2×110064276402 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 529035 + ... + 549445.

Almost surely, 211006427640 is an apocalyptic number.

11006427640 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 11006427640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14351268960).

11006427640 is an abundant number, since it is smaller than the sum of its proper divisors (17696110280).

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

11006427640 is a wasteful number, since it uses less digits than its factorization.

11006427640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20513 (or 20509 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

Adding to 11006427640 its reverse (4672460011), we get a palindrome (15678887651).

The spelling of 11006427640 in words is "eleven billion, six million, four hundred twenty-seven thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 13 17 20 26 34 40 52 61 65 68 85 104 122 130 136 170 221 244 260 305 340 442 488 520 610 680 793 884 1037 1105 1220 1586 1768 2074 2210 2440 3172 3965 4148 4420 5185 6344 7930 8296 8840 10370 13481 15860 20411 20740 26962 31720 40822 41480 53924 67405 81644 102055 107848 134810 163288 204110 265343 269620 346987 408220 530686 539240 693974 816440 1061372 1245071 1326715 1387948 1734935 2122744 2490142 2653430 2775896 3469870 4510831 4980284 5306860 6225355 6939740 9021662 9960568 10613720 12450710 13879480 16185923 18043324 21166207 22554155 24901420 32371846 36086648 42332414 45108310 49802840 64743692 80929615 84664828 90216620 105831035 129487384 161859230 169329656 180433240 211662070 275160691 323718460 423324140 550321382 647436920 846648280 1100642764 1375803455 2201285528 2751606910 5503213820 11006427640