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11633815014052 = 22711312395098141
BaseRepresentation
bin1010100101001011010101…
…1010010100101010100100
31112012011220120102102121111
42221102311122110222210
53011102023120422202
640424300102554404
72310341532001210
oct251226532245244
945164816372544
1011633815014052
113785967312010
12137a865138a04
136650aa9398ca
142c31187c3940
151529500356d7
hexa94b5694aa4

11633815014052 has 96 divisors (see below), whose sum is σ = 26311306936320. Its totient is φ = 4368086352000.

The previous prime is 11633815014037. The next prime is 11633815014061. The reversal of 11633815014052 is 25041051833611.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 11633815013996 and 11633815014014.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 267099 + ... + 4831042.

It is an arithmetic number, because the mean of its divisors is an integer number (274076113920).

Almost surely, 211633815014052 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 11633815014052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13155653468160).

11633815014052 is an abundant number, since it is smaller than the sum of its proper divisors (14677491922268).

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

11633815014052 is a wasteful number, since it uses less digits than its factorization.

11633815014052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5098433 (or 5098431 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 40.

Adding to 11633815014052 its reverse (25041051833611), we get a palindrome (36674866847663).

The spelling of 11633815014052 in words is "eleven trillion, six hundred thirty-three billion, eight hundred fifteen million, fourteen thousand, fifty-two".

Divisors: 1 2 4 7 11 14 22 28 31 44 62 77 124 154 217 239 308 341 434 478 682 868 956 1364 1673 2387 2629 3346 4774 5258 6692 7409 9548 10516 14818 18403 29636 36806 51863 73612 81499 103726 162998 207452 325996 570493 1140986 2281972 5098141 10196282 20392564 35686987 56079551 71373974 112159102 142747948 158042371 224318204 316084742 392556857 632169484 785113714 1106296597 1218455699 1570227428 1738466081 2212593194 2436911398 3476932162 4425186388 4873822796 6953864324 8529189893 12169262567 13403012689 17058379786 24338525134 26806025378 34116759572 37772126669 48677050268 53612050756 75544253338 93821088823 151088506676 187642177646 264404886683 375284355292 415493393359 528809773366 830986786718 1057619546732 1661973573436 2908453753513 5816907507026 11633815014052