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11135014752 = 2531919930677
BaseRepresentation
bin10100101111011001…
…01101011101100000
31001202000111100122210
422113230231131200
5140301030433002
65040530002120
7542636030601
oct122754553540
931660440583
1011135014752
1147a4475434
1221a9116340
131085baa834
14778bb7da8
1545285d96c
hex297b2d760

11135014752 has 96 divisors (see below), whose sum is σ = 30923424000. Its totient is φ = 3498536448.

The previous prime is 11135014721. The next prime is 11135014757. The reversal of 11135014752 is 25741053111.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11135014757) 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, 347638 + ... + 378314.

It is an arithmetic number, because the mean of its divisors is an integer number (322119000).

Almost surely, 211135014752 is an apocalyptic number.

11135014752 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 11135014752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15461712000).

11135014752 is an abundant number, since it is smaller than the sum of its proper divisors (19788409248).

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

11135014752 is a wasteful number, since it uses less digits than its factorization.

11135014752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30908 (or 30900 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 30.

Adding to 11135014752 its reverse (25741053111), we get a palindrome (36876067863).

The spelling of 11135014752 in words is "eleven billion, one hundred thirty-five million, fourteen thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 199 228 304 398 456 597 608 796 912 1194 1592 1824 2388 3184 3781 4776 6368 7562 9552 11343 15124 19104 22686 30248 30677 45372 60496 61354 90744 92031 120992 122708 181488 184062 245416 362976 368124 490832 582863 736248 981664 1165726 1472496 1748589 2331452 2944992 3497178 4662904 6104723 6994356 9325808 12209446 13988712 18314169 18651616 24418892 27977424 36628338 48837784 55954848 73256676 97675568 115989737 146513352 195351136 231979474 293026704 347969211 463958948 586053408 695938422 927917896 1391876844 1855835792 2783753688 3711671584 5567507376 11135014752