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11351400504 = 23353101149593
BaseRepresentation
bin10101001001001100…
…01010000000111000
31002022002122220002220
422210212022000320
5141221424304004
65114215524040
7551204212053
oct124446120070
932262586086
1011351400504
1148a562a234
122249689620
1310bb981142
14799823a9a
15466852dd9
hex2a498a038

11351400504 has 128 divisors (see below), whose sum is σ = 29445768000. Its totient is φ = 3644825600.

The previous prime is 11351400503. The next prime is 11351400509. The reversal of 11351400504 is 40500415311.

It is a happy number.

It is a super-2 number, since 2×113514005042 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11351400503) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19142032 + ... + 19142624.

Almost surely, 211351400504 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 11351400504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14722884000).

11351400504 is an abundant number, since it is smaller than the sum of its proper divisors (18094367496).

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

11351400504 is a wasteful number, since it uses less digits than its factorization.

11351400504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 905 (or 901 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

Adding to 11351400504 its reverse (40500415311), we get a palindrome (51851815815).

The spelling of 11351400504 in words is "eleven billion, three hundred fifty-one million, four hundred thousand, five hundred four".

Divisors: 1 2 3 4 6 8 12 24 53 101 106 149 159 202 212 298 303 318 404 424 447 593 596 606 636 808 894 1186 1192 1212 1272 1779 1788 2372 2424 3558 3576 4744 5353 7116 7897 10706 14232 15049 15794 16059 21412 23691 30098 31429 31588 32118 42824 45147 47382 59893 60196 62858 63176 64236 88357 90294 94287 94764 119786 120392 125716 128472 176714 179679 180588 188574 189528 239572 251432 265071 353428 359358 361176 377148 479144 530142 706856 718716 754296 797597 1060284 1437432 1595194 2120568 2392791 3174329 3190388 4682921 4785582 6348658 6380776 8924057 9365842 9522987 9571164 12697316 14048763 17848114 18731684 19045974 19142328 25394632 26772171 28097526 35696228 37463368 38091948 53544342 56195052 71392456 76183896 107088684 112390104 214177368 472975021 945950042 1418925063 1891900084 2837850126 3783800168 5675700252 11351400504