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11164146435 = 3351356311299
BaseRepresentation
bin10100110010110111…
…10101101100000011
31001211001022101211000
422121123311230003
5140331010141220
65043450223043
7543441451611
oct123133655403
931731271730
1011164146435
114809962502
1221b6a24a83
13108bc3a510
1477c9dc6b1
154551b5390
hex2996f5b03

11164146435 has 64 divisors (see below), whose sum is σ = 21413952000. Its totient is φ = 5485947264.

The previous prime is 11164146401. The next prime is 11164146463. The reversal of 11164146435 is 53464146111.

11164146435 is a `hidden beast` number, since 1 + 1 + 1 + 6 + 4 + 1 + 4 + 643 + 5 = 666.

It is not a de Polignac number, because 11164146435 - 214 = 11164130051 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 11164146435.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 982416 + ... + 993714.

It is an arithmetic number, because the mean of its divisors is an integer number (334593000).

Almost surely, 211164146435 is an apocalyptic number.

11164146435 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

11164146435 is a deficient number, since it is larger than the sum of its proper divisors (10249805565).

11164146435 is a wasteful number, since it uses less digits than its factorization.

11164146435 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11889 (or 11883 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The spelling of 11164146435 in words is "eleven billion, one hundred sixty-four million, one hundred forty-six thousand, four hundred thirty-five".

Divisors: 1 3 5 9 13 15 27 39 45 65 117 135 195 351 563 585 1689 1755 2815 5067 7319 8445 11299 15201 21957 25335 33897 36595 56495 65871 76005 101691 109785 146887 169485 197613 305073 329355 440661 508455 734435 988065 1321983 1525365 2203305 3965949 6361337 6609915 19084011 19829745 31806685 57252033 82697381 95420055 171756099 248092143 286260165 413486905 744276429 858780495 1240460715 2232829287 3721382145 11164146435