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20154146364 = 22321162478147
BaseRepresentation
bin10010110001010001…
…111101111000111100
31221000120120201022100
4102301101331320330
5312233430140424
613131513145100
71312303263132
oct226121757074
957016521270
1020154146364
118602543510
123aa56bb190
131b925c8bc1
14d9296d752
157ce568dc9
hex4b147de3c

20154146364 has 72 divisors (see below), whose sum is σ = 55592304768. Its totient is φ = 6105589920.

The previous prime is 20154146333. The next prime is 20154146377. The reversal of 20154146364 is 46364145102.

20154146364 is a `hidden beast` number, since 2 + 0 + 1 + 5 + 4 + 14 + 636 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 2469739 + ... + 2477885.

It is an arithmetic number, because the mean of its divisors is an integer number (772115344).

Almost surely, 220154146364 is an apocalyptic number.

It is an amenable number.

20154146364 is an abundant number, since it is smaller than the sum of its proper divisors (35438158404).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20154146364 is a wasteful number, since it uses less digits than its factorization.

20154146364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14415 (or 14410 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 20154146364 in words is "twenty billion, one hundred fifty-four million, one hundred forty-six thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 6247 8147 12494 16294 18741 24441 24988 32588 37482 48882 56223 68717 73323 74964 89617 97764 112446 137434 146646 179234 206151 224892 268851 274868 293292 358468 412302 537702 618453 806553 824604 1075404 1236906 1613106 2473812 3226212 50894309 101788618 152682927 203577236 305365854 458048781 559837399 610731708 916097562 1119674798 1679512197 1832195124 2239349596 3359024394 5038536591 6718048788 10077073182 20154146364