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53909434072716 = 223174125212556689
BaseRepresentation
bin11000100000111110001001…
…01010101111111010001100
321001212200200011002011122220
430100133010222233322030
524031223010110311331
6310353352505135340
714232554013642015
oct1420370452577214
9231780604064586
1053909434072716
11161a4954133072
12606801448a550
13241083a3a0511
14d4533281200c
15637494c51296
hex3107c4aafe8c

53909434072716 has 96 divisors (see below), whose sum is σ = 136490675106240. Its totient is φ = 16493705625600.

The previous prime is 53909434072673. The next prime is 53909434072721. The reversal of 53909434072716 is 61727043490935.

It is a happy number.

53909434072716 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 53909434072716.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19807300 + ... + 22363988.

It is an arithmetic number, because the mean of its divisors is an integer number (1421777865690).

Almost surely, 253909434072716 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53909434072716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68245337553120).

53909434072716 is an abundant number, since it is smaller than the sum of its proper divisors (82581241033524).

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

53909434072716 is a wasteful number, since it uses less digits than its factorization.

53909434072716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2559275 (or 2559273 counting only the distinct ones).

The product of its (nonzero) digits is 34292160, while the sum is 60.

The spelling of 53909434072716 in words is "fifty-three trillion, nine hundred nine billion, four hundred thirty-four million, seventy-two thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 12 17 34 41 51 68 82 102 123 164 204 246 492 697 1394 2091 2521 2788 4182 5042 7563 8364 10084 15126 30252 42857 85714 103361 128571 171428 206722 257142 310083 413444 514284 620166 1240332 1757137 2556689 3514274 5113378 5271411 7028548 7670067 10226756 10542822 15340134 21085644 30680268 43463713 86927426 104824249 130391139 173854852 209648498 260782278 314472747 419296996 521564556 628945494 1257890988 1782012233 3564024466 5346036699 6445412969 7128048932 10692073398 12890825938 19336238907 21384146796 25781651876 38672477814 77344955628 109572020473 219144040946 264261931729 328716061419 438288081892 528523863458 657432122838 792785795187 1057047726916 1314864245676 1585571590374 3171143180748 4492452839393 8984905678786 13477358518179 17969811357572 26954717036358 53909434072716