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11235093504 = 210316092273
BaseRepresentation
bin10100111011010100…
…11110110000000000
31001222222210212220020
422131222132300000
5141002140443004
65054503013440
7545262501435
oct123552366000
931888725806
1011235093504
114845a10048
12221673a280
1310a084b12b
147881c9b8c
1545b52b8d9
hex29da9ec00

11235093504 has 88 divisors (see below), whose sum is σ = 29977414320. Its totient is φ = 3741057024.

The previous prime is 11235093473. The next prime is 11235093517. The reversal of 11235093504 is 40539053211.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4941712 + ... + 4943984.

Almost surely, 211235093504 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 11235093504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14988707160).

11235093504 is an abundant number, since it is smaller than the sum of its proper divisors (18742320816).

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

11235093504 is a wasteful number, since it uses less digits than its factorization.

11235093504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3905 (or 3887 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 33.

The spelling of 11235093504 in words is "eleven billion, two hundred thirty-five million, ninety-three thousand, five hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 1609 2273 3072 3218 4546 4827 6436 6819 9092 9654 12872 13638 18184 19308 25744 27276 36368 38616 51488 54552 72736 77232 102976 109104 145472 154464 205952 218208 290944 308928 411904 436416 581888 617856 823808 872832 1163776 1235712 1647616 1745664 2327552 2471424 3491328 3657257 4942848 6982656 7314514 10971771 14629028 21943542 29258056 43887084 58516112 87774168 117032224 175548336 234064448 351096672 468128896 702193344 936257792 1404386688 1872515584 2808773376 3745031168 5617546752 11235093504