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11138313736 = 23112943101501
BaseRepresentation
bin10100101111110010…
…10010111000001000
31001202020200222000101
422113321102320020
5140302402014421
65041124415144
7543006050614
oct122771227010
931666628011
1011138313736
1147a6318a70
1221aa2474b4
1310867942b4
147793d6344
15452cb1191
hex297e52e08

11138313736 has 64 divisors (see below), whose sum is σ = 24116875200. Its totient is φ = 4774560000.

The previous prime is 11138313731. The next prime is 11138313773. The reversal of 11138313736 is 63731383111.

It is a junction number, because it is equal to n+sod(n) for n = 11138313695 and 11138313704.

It is not an unprimeable number, because it can be changed into a prime (11138313731) 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, 58986 + ... + 160486.

It is an arithmetic number, because the mean of its divisors is an integer number (376826175).

Almost surely, 211138313736 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11138313736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12058437600).

11138313736 is an abundant number, since it is smaller than the sum of its proper divisors (12978561464).

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

11138313736 is a wasteful number, since it uses less digits than its factorization.

11138313736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101590 (or 101586 counting only the distinct ones).

The product of its digits is 27216, while the sum is 37.

Adding to 11138313736 its reverse (63731383111), we get a palindrome (74869696847).

The spelling of 11138313736 in words is "eleven billion, one hundred thirty-eight million, three hundred thirteen thousand, seven hundred thirty-six".

Divisors: 1 2 4 8 11 22 29 43 44 58 86 88 116 172 232 319 344 473 638 946 1247 1276 1892 2494 2552 3784 4988 9976 13717 27434 54868 101501 109736 203002 406004 812008 1116511 2233022 2943529 4364543 4466044 5887058 8729086 8932088 11774116 17458172 23548232 32378819 34916344 48009973 64757638 96019946 126571747 129515276 192039892 253143494 259030552 384079784 506286988 1012573976 1392289217 2784578434 5569156868 11138313736