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11453653633044 = 2237413613920477
BaseRepresentation
bin1010011010101100001011…
…1101001100100000010100
31111112221212211000000020110
42212223002331030200110
53000124040312224134
640205422535203020
72261333133350430
oct246530275144024
944487784000213
1011453653633044
1137165159749a7
12134b965516470
136510c874014c
142b85073b99c0
1514ce085a07e9
hexa6ac2f4c814

11453653633044 has 96 divisors (see below), whose sum is σ = 31296723284736. Its totient is φ = 3191768939520.

The previous prime is 11453653633021. The next prime is 11453653633067. The reversal of 11453653633044 is 44033635635411.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11453653633021) and next prime (11453653633067).

It is a junction number, because it is equal to n+sod(n) for n = 11453653632984 and 11453653633002.

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 31 ways as a sum of consecutive naturals, for example, 11982934 + ... + 12903410.

It is an arithmetic number, because the mean of its divisors is an integer number (326007534216).

Almost surely, 211453653633044 is an apocalyptic number.

11453653633044 is a gapful number since it is divisible by the number (14) 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 11453653633044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15648361642368).

11453653633044 is an abundant number, since it is smaller than the sum of its proper divisors (19843069651692).

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

11453653633044 is a wasteful number, since it uses less digits than its factorization.

11453653633044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 924145 (or 924143 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 48.

The spelling of 11453653633044 in words is "eleven trillion, four hundred fifty-three billion, six hundred fifty-three million, six hundred thirty-three thousand, forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 41 42 82 84 123 164 246 287 492 574 861 1148 1722 3444 3613 7226 10839 14452 21678 25291 43356 50582 75873 101164 148133 151746 296266 303492 444399 592532 888798 920477 1036931 1777596 1840954 2073862 2761431 3110793 3681908 4147724 5522862 6221586 6443339 11045724 12443172 12886678 19330017 25773356 37739557 38660034 75479114 77320068 113218671 150958228 226437342 264176899 452874684 528353798 792530697 1056707596 1585061394 3170122788 3325683401 6651366802 9977050203 13302733604 19954100406 23279783807 39908200812 46559567614 69839351421 93119135228 136353019441 139678702842 272706038882 279357405684 409059058323 545412077764 818118116646 954471136087 1636236233292 1908942272174 2863413408261 3817884544348 5726826816522 11453653633044