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34211054163 = 31113895931511
BaseRepresentation
bin11111110111001000…
…110100001001010011
310021022020010121201010
4133313020310021103
51030031012213123
623414421342003
72320532106456
oct376710641123
9107266117633
1034211054163
1113566280390
126769267903
1332c2941420
14192781b49d
15d5368d993
hex7f7234253

34211054163 has 64 divisors (see below), whose sum is σ = 54318781440. Its totient is φ = 18879590400.

The previous prime is 34211054147. The next prime is 34211054191. The reversal of 34211054163 is 36145011243.

It is not a de Polignac number, because 34211054163 - 24 = 34211054147 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 34211054163.

It is not an unprimeable number, because it can be changed into a prime (34211054263) 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 63 ways as a sum of consecutive naturals, for example, 22640578 + ... + 22642088.

It is an arithmetic number, because the mean of its divisors is an integer number (848730960).

Almost surely, 234211054163 is an apocalyptic number.

34211054163 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

34211054163 is a deficient number, since it is larger than the sum of its proper divisors (20107727277).

34211054163 is a wasteful number, since it uses less digits than its factorization.

34211054163 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2220.

The product of its (nonzero) digits is 8640, while the sum is 30.

The spelling of 34211054163 in words is "thirty-four billion, two hundred eleven million, fifty-four thousand, one hundred sixty-three".

Divisors: 1 3 11 13 33 39 89 143 267 429 593 979 1157 1511 1779 2937 3471 4533 6523 7709 12727 16621 19569 19643 23127 38181 49863 52777 58929 84799 134479 158331 216073 254397 403437 580547 648219 686101 896023 1479269 1741641 1748227 2058303 2688069 4437807 5244681 7547111 9856253 11648299 19230497 22641333 29568759 34944897 57691491 79746047 128131289 239238141 384393867 877206517 1036698611 2631619551 3110095833 11403684721 34211054163