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29182022018193 = 3112937824141377
BaseRepresentation
bin1101010001010011110000…
…00011100110010010010001
310211022202220021210220202110
412220221320003212102101
512311104240114040233
6142022011424135533
76101221465305102
oct650517003462221
9124282807726673
1029182022018193
119331031723560
1233338081675a9
131338b119a1225
1472c5bb4ca3a9
1535915852c663
hex1a8a780e6491

29182022018193 has 32 divisors (see below), whose sum is σ = 45097016204160. Its totient is φ = 16614690140160.

The previous prime is 29182022018189. The next prime is 29182022018209. The reversal of 29182022018193 is 39181022028192.

It is not a de Polignac number, because 29182022018193 - 22 = 29182022018189 is a prime.

It is not an unprimeable number, because it can be changed into a prime (29182022018183) by changing a digit.

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, 412035280 + ... + 412106097.

It is an arithmetic number, because the mean of its divisors is an integer number (1409281756380).

Almost surely, 229182022018193 is an apocalyptic number.

It is an amenable number.

29182022018193 is a deficient number, since it is larger than the sum of its proper divisors (15914994185967).

29182022018193 is a wasteful number, since it uses less digits than its factorization.

29182022018193 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 824141457.

The product of its (nonzero) digits is 248832, while the sum is 48.

Subtracting 29182022018193 from its reverse (39181022028192), we obtain a palindrome (9999000009999).

The spelling of 29182022018193 in words is "twenty-nine trillion, one hundred eighty-two billion, twenty-two million, eighteen thousand, one hundred ninety-three".

Divisors: 1 3 11 29 33 37 87 111 319 407 957 1073 1221 3219 11803 35409 824141377 2472424131 9065555147 23900099933 27196665441 30493230949 71700299799 91479692847 262901099263 335425540439 788703297789 884303697521 1006276621317 2652911092563 9727340672731 29182022018193