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55046452442401 = 73116750916371823
BaseRepresentation
bin11001000010000100000000…
…01111100111010100100001
321012220101111220201222000201
430201002000033213110201
524203340113311124101
6313023554030545201
714410655256423430
oct1441020017472441
9235811456658021
1055046452442401
11165a3084389112
126210455668201
132493b205a8b44
14d843964a3117
15656d40572e01
hex3210803e7521

55046452442401 has 64 divisors (see below), whose sum is σ = 65532714024960. Its totient is φ = 45245560999680.

The previous prime is 55046452442381. The next prime is 55046452442447. The reversal of 55046452442401 is 10424425464055.

It is a cyclic number.

It is not a de Polignac number, because 55046452442401 - 223 = 55046444053793 is a prime.

It is a super-2 number, since 2×550464524424012 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (55046452442491) 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 63 ways as a sum of consecutive naturals, for example, 30195529776 + ... + 30195531598.

It is an arithmetic number, because the mean of its divisors is an integer number (1023948656640).

Almost surely, 255046452442401 is an apocalyptic number.

It is an amenable number.

55046452442401 is a deficient number, since it is larger than the sum of its proper divisors (10486261582559).

55046452442401 is a wasteful number, since it uses less digits than its factorization.

55046452442401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4174.

The product of its (nonzero) digits is 3072000, while the sum is 46.

The spelling of 55046452442401 in words is "fifty-five trillion, forty-six billion, four hundred fifty-two million, four hundred forty-two thousand, four hundred one".

Divisors: 1 7 31 167 217 509 1169 1637 1823 3563 5177 11459 12761 15779 36239 50747 56513 85003 110453 273379 304441 355229 395591 595021 833233 927907 1913653 2131087 2635093 2984251 5832631 6495349 8474749 9437671 18445651 20889757 25830223 28765117 59323243 66063697 92511781 139149911 154960469 180811561 201355819 498369917 647582467 974049377 1084723283 1518983759 3488589419 4313647241 4803774539 10632886313 15449467427 30195530687 33626421773 47088496529 108146271989 253670287753 329619475703 1775692014271 7863778920343 55046452442401