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11069625072 = 24311173733331
BaseRepresentation
bin10100100111100110…
…10001001011110000
31001120110110012212210
422103303101023300
5140132311000242
65030232252120
7541213155252
oct122363211360
931513405783
1011069625072
114770573180
12218b241040
13107549460c
14770235cd2
1544bc43d9c
hex293cd12f0

11069625072 has 160 divisors (see below), whose sum is σ = 33925042944. Its totient is φ = 3071692800.

The previous prime is 11069625059. The next prime is 11069625233. The reversal of 11069625072 is 27052696011.

It is a super-3 number, since 3×110696250723 (a number of 31 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11069625072.

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, 315447 + ... + 348777.

Almost surely, 211069625072 is an apocalyptic number.

11069625072 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 11069625072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16962521472).

11069625072 is an abundant number, since it is smaller than the sum of its proper divisors (22855417872).

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

11069625072 is a wasteful number, since it uses less digits than its factorization.

11069625072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33407 (or 33401 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 39.

The spelling of 11069625072 in words is "eleven billion, sixty-nine million, six hundred twenty-five thousand, seventy-two".

Divisors: 1 2 3 4 6 8 11 12 16 17 22 24 33 34 37 44 48 51 66 68 74 88 102 111 132 136 148 176 187 204 222 264 272 296 374 407 408 444 528 561 592 629 748 814 816 888 1122 1221 1258 1496 1628 1776 1887 2244 2442 2516 2992 3256 3774 4488 4884 5032 6512 6919 7548 8976 9768 10064 13838 15096 19536 20757 27676 30192 33331 41514 55352 66662 83028 99993 110704 133324 166056 199986 266648 332112 366641 399972 533296 566627 733282 799944 1099923 1133254 1233247 1466564 1599888 1699881 2199846 2266508 2466494 2933128 3399762 3699741 4399692 4533016 4932988 5866256 6232897 6799524 7399482 8799384 9066032 9865976 12465794 13565717 13599048 14798964 17598768 18698691 19731952 20965199 24931588 27131434 27198096 29597928 37397382 40697151 41930398 49863176 54262868 59195856 62895597 74794764 81394302 83860796 99726352 108525736 125791194 149589528 162788604 167721592 217051472 230617189 251582388 299179056 325577208 335443184 461234378 503164776 651154416 691851567 922468756 1006329552 1383703134 1844937512 2767406268 3689875024 5534812536 11069625072