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14573106432 = 283217233671
BaseRepresentation
bin11011001001001111…
…11111010100000000
31101121121212111210200
431210213333110000
5214321203401212
610410024125200
71024064234523
oct154447772400
941547774720
1014573106432
1161a9158615
1229a8606800
1314b327c701
149c365cbba
155a45dc6dc
hex3649ff500

14573106432 has 108 divisors (see below), whose sum is σ = 42053697504. Its totient is φ = 4853560320.

The previous prime is 14573106421. The next prime is 14573106439. The reversal of 14573106432 is 23460137541.

14573106432 is a `hidden beast` number, since 1 + 4 + 5 + 7 + 3 + 1 + 0 + 643 + 2 = 666.

14573106432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14573106439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3967957 + ... + 3971627.

It is an arithmetic number, because the mean of its divisors is an integer number (389386088).

Almost surely, 214573106432 is an apocalyptic number.

14573106432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14573106432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21026848752).

14573106432 is an abundant number, since it is smaller than the sum of its proper divisors (27480591072).

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

14573106432 is a wasteful number, since it uses less digits than its factorization.

14573106432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5416 (or 5399 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 14573106432 in words is "fourteen billion, five hundred seventy-three million, one hundred six thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 1723 2304 3446 3671 5169 6892 7342 10338 11013 13784 14684 15507 20676 22026 27568 29368 31014 33039 41352 44052 55136 58736 62028 66078 82704 88104 110272 117472 124056 132156 165408 176208 220544 234944 248112 264312 330816 352416 441088 469888 496224 528624 661632 704832 939776 992448 1057248 1323264 1409664 1984896 2114496 2819328 3969792 4228992 6325133 8457984 12650266 18975399 25300532 37950798 50601064 56926197 75901596 101202128 113852394 151803192 202404256 227704788 303606384 404808512 455409576 607212768 809617024 910819152 1214425536 1619234048 1821638304 2428851072 3643276608 4857702144 7286553216 14573106432