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11246412640 = 255436612473
BaseRepresentation
bin10100111100101011…
…01010001101100000
31002000210002221211111
422132111222031200
5141013040201030
65055545353104
7545460634021
oct123625521540
932023087744
1011246412640
114851341301
12221a498794
1310a2cb2248
147898d4c48
1545c51562a
hex29e56a360

11246412640 has 96 divisors (see below), whose sum is σ = 27239690016. Its totient is φ = 4385525760.

The previous prime is 11246412637. The next prime is 11246412647. The reversal of 11246412640 is 4621464211.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11246412647) 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, 4546444 + ... + 4548916.

It is an arithmetic number, because the mean of its divisors is an integer number (283746771).

Almost surely, 211246412640 is an apocalyptic number.

11246412640 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 11246412640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13619845008).

11246412640 is an abundant number, since it is smaller than the sum of its proper divisors (15993277376).

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

11246412640 is a wasteful number, since it uses less digits than its factorization.

11246412640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3192 (or 3184 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

Adding to 11246412640 its reverse (4621464211), we get a palindrome (15867876851).

The spelling of 11246412640 in words is "eleven billion, two hundred forty-six million, four hundred twelve thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 43 80 86 160 172 215 344 430 661 688 860 1322 1376 1720 2473 2644 3305 3440 4946 5288 6610 6880 9892 10576 12365 13220 19784 21152 24730 26440 28423 39568 49460 52880 56846 79136 98920 105760 106339 113692 142115 197840 212678 227384 284230 395680 425356 454768 531695 568460 850712 909536 1063390 1136920 1634653 1701424 2126780 2273840 3269306 3402848 4253560 4547680 6538612 8173265 8507120 13077224 16346530 17014240 26154448 32693060 52308896 65386120 70290079 130772240 140580158 261544480 281160316 351450395 562320632 702900790 1124641264 1405801580 2249282528 2811603160 5623206320 11246412640