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11143332552 = 2331112722617
BaseRepresentation
bin10100110000011000…
…11100001011001000
31001202121010221112110
422120030130023020
5140310143120202
65041424142320
7543066523002
oct123014341310
931677127473
1011143332552
1147a9136750
1221aba679a0
131087830801
14779d41372
1545345326c
hex29831c2c8

11143332552 has 96 divisors (see below), whose sum is σ = 30643794720. Its totient is φ = 3348898560.

The previous prime is 11143332547. The next prime is 11143332569. The reversal of 11143332552 is 25523334111.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4256748 + ... + 4259364.

It is an arithmetic number, because the mean of its divisors is an integer number (319206195).

Almost surely, 211143332552 is an apocalyptic number.

11143332552 is a gapful number since it is divisible by the number (12) 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 11143332552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15321897360).

11143332552 is an abundant number, since it is smaller than the sum of its proper divisors (19500462168).

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

11143332552 is a wasteful number, since it uses less digits than its factorization.

11143332552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2891 (or 2760 counting only the distinct ones).

The product of its digits is 10800, while the sum is 30.

Adding to 11143332552 its reverse (25523334111), we get a palindrome (36666666663).

The spelling of 11143332552 in words is "eleven billion, one hundred forty-three million, three hundred thirty-two thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 127 132 254 264 381 508 762 1016 1397 1524 2617 2794 3048 4191 5234 5588 7851 8382 10468 11176 15702 16129 16764 20936 28787 31404 32258 33528 48387 57574 62808 64516 86361 96774 115148 129032 172722 177419 193548 230296 332359 345444 354838 387096 532257 664718 690888 709676 997077 1064514 1329436 1419352 1994154 2129028 2658872 3655949 3988308 4258056 7311898 7976616 10967847 14623796 21935694 29247592 42209593 43871388 84419186 87742776 126628779 168838372 253257558 337676744 464305523 506515116 928611046 1013030232 1392916569 1857222092 2785833138 3714444184 5571666276 11143332552