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11415305052 = 223560119541
BaseRepresentation
bin10101010000110011…
…11011101101011100
31002110112220120200000
422220121323231130
5141334304230202
65124421334300
7552611330514
oct125031735534
932415816600
1011415305052
114928707708
122266b67390
1310cbc97398
147a40da844
1546c27791c
hex2a867bb5c

11415305052 has 72 divisors (see below), whose sum is σ = 29975395632. Its totient is φ = 3798576000.

The previous prime is 11415305047. The next prime is 11415305063. The reversal of 11415305052 is 25050351411.

11415305052 is a `hidden beast` number, since 1 + 1 + 4 + 153 + 0 + 505 + 2 = 666.

It is a super-3 number, since 3×114153050523 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 574402 + ... + 593942.

Almost surely, 211415305052 is an apocalyptic number.

11415305052 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 11415305052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14987697816).

11415305052 is an abundant number, since it is smaller than the sum of its proper divisors (18560090580).

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

11415305052 is a wasteful number, since it uses less digits than its factorization.

11415305052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20161 (or 20147 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

Adding to 11415305052 its reverse (25050351411), we get a palindrome (36465656463).

The spelling of 11415305052 in words is "eleven billion, four hundred fifteen million, three hundred five thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 601 972 1202 1803 2404 3606 5409 7212 10818 16227 19541 21636 32454 39082 48681 58623 64908 78164 97362 117246 146043 175869 194724 234492 292086 351738 527607 584172 703476 1055214 1582821 2110428 3165642 4748463 6331284 9496926 11744141 18993852 23488282 35232423 46976564 70464846 105697269 140929692 211394538 317091807 422789076 634183614 951275421 1268367228 1902550842 2853826263 3805101684 5707652526 11415305052