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33541116145053 = 31123373967301073
BaseRepresentation
bin1111010000001011001100…
…10100000010110110011101
311101202111111001110022211220
413220011212110002312131
513344014201213120203
6155200324231403553
710031160061111656
oct750054624026635
9141674431408756
1033541116145053
11a7617867155a0
1239185abb235b9
131593bb5483a1a
1483d581db652d
153d2734b0c653
hex1e8166502d9d

33541116145053 has 64 divisors (see below), whose sum is σ = 52297507602432. Its totient is φ = 18913776583680.

The previous prime is 33541116145039. The next prime is 33541116145079. The reversal of 33541116145053 is 35054161114533.

It is not a de Polignac number, because 33541116145053 - 214 = 33541116128669 is a prime.

It is a super-2 number, since 2×335411161450532 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33541116144996 and 33541116145014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33541116145753) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 111254725 + ... + 111555797.

It is an arithmetic number, because the mean of its divisors is an integer number (817148556288).

Almost surely, 233541116145053 is an apocalyptic number.

33541116145053 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

33541116145053 is a deficient number, since it is larger than the sum of its proper divisors (18756391457379).

33541116145053 is a wasteful number, since it uses less digits than its factorization.

33541116145053 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305114.

The product of its (nonzero) digits is 324000, while the sum is 42.

Adding to 33541116145053 its reverse (35054161114533), we get a palindrome (68595277259586).

The spelling of 33541116145053 in words is "thirty-three trillion, five hundred forty-one billion, one hundred sixteen million, one hundred forty-five thousand, fifty-three".

Divisors: 1 3 11 23 33 37 69 111 253 407 759 851 1221 2553 3967 9361 11901 28083 43637 91241 130911 146779 273723 301073 440337 903219 1003651 1614569 3010953 3311803 3375917 4843707 6924679 9935409 10127751 11139701 20774037 33419103 37135087 76171469 111405261 122536711 228514407 256213123 367610133 768639369 1194356591 2818344353 3583069773 8455033059 13137922501 27470201593 39413767503 44191193867 82410604779 132573581601 302172217523 486103132537 906516652569 1016397458941 1458309397611 3049192376823 11180372048351 33541116145053