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11045654435431 = 7113114833120311
BaseRepresentation
bin1010000010111100010001…
…0011110001011001100111
31110002221202122112022000101
42200233010103301121213
52421433000013413211
635254145324324531
72220010420400530
oct240570423613147
943087678468011
1011045654435431
113579487a72a90
1212a487b3a3747
136217a6aacca5
142a2880abb687
151424c97b95c1
hexa0bc44f1667

11045654435431 has 32 divisors (see below), whose sum is σ = 14225028120576. Its totient is φ = 8323738956000.

The previous prime is 11045654435383. The next prime is 11045654435461. The reversal of 11045654435431 is 13453445654011.

It is a cyclic number.

It is not a de Polignac number, because 11045654435431 - 213 = 11045654427239 is a prime.

It is a super-2 number, since 2×110456544354312 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11045654435461) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1979766 + ... + 5100076.

It is an arithmetic number, because the mean of its divisors is an integer number (444532128768).

Almost surely, 211045654435431 is an apocalyptic number.

11045654435431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11045654435431 is a deficient number, since it is larger than the sum of its proper divisors (3179373685145).

11045654435431 is a wasteful number, since it uses less digits than its factorization.

11045654435431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3121843.

The product of its (nonzero) digits is 1728000, while the sum is 46.

The spelling of 11045654435431 in words is "eleven trillion, forty-five billion, six hundred fifty-four million, four hundred thirty-five thousand, four hundred thirty-one".

Divisors: 1 7 11 31 77 217 341 1483 2387 10381 16313 45973 114191 321811 505703 3120311 3539921 21842177 34323421 96729641 240263947 677107487 1064026051 4627421213 7448182357 32391948491 50901633343 143450057603 356311433401 1004150403221 1577950633633 11045654435431