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53155510245216 = 25327325110073009
BaseRepresentation
bin11000001011000001110110…
…10011100101011101100000
320222012121122220101111212200
430011200323103211131200
523431344441110321331
6305015145421053200
714124234045101301
oct1405407323453540
9228177586344780
1053155510245216
1115a34141854785
125b65a889b7200
13238770a292352
14d1aa51a147a8
15622a6bac85e6
hex30583b4e5760

53155510245216 has 144 divisors (see below), whose sum is σ = 153842180703120. Its totient is φ = 17406157824000.

The previous prime is 53155510245209. The next prime is 53155510245317. The reversal of 53155510245216 is 61254201555135.

53155510245216 is a `hidden beast` number, since 5 + 3 + 1 + 55 + 51 + 0 + 24 + 521 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 240520 + ... + 10313528.

It is an arithmetic number, because the mean of its divisors is an integer number (1068348477105).

Almost surely, 253155510245216 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 53155510245216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76921090351560).

53155510245216 is an abundant number, since it is smaller than the sum of its proper divisors (100686670457904).

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

53155510245216 is a wasteful number, since it uses less digits than its factorization.

53155510245216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10073349 (or 10073338 counting only the distinct ones).

The product of its (nonzero) digits is 900000, while the sum is 45.

The spelling of 53155510245216 in words is "fifty-three trillion, one hundred fifty-five billion, five hundred ten million, two hundred forty-five thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 73 96 144 146 219 251 288 292 438 502 584 657 753 876 1004 1168 1314 1506 1752 2008 2259 2336 2628 3012 3504 4016 4518 5256 6024 7008 8032 9036 10512 12048 18072 18323 21024 24096 36144 36646 54969 72288 73292 109938 146584 164907 219876 293168 329814 439752 586336 659628 879504 1319256 1759008 2638512 5277024 10073009 20146018 30219027 40292036 60438054 80584072 90657081 120876108 161168144 181314162 241752216 322336288 362628324 483504432 725256648 735329657 967008864 1450513296 1470659314 2205988971 2528325259 2901026592 2941318628 4411977942 5056650518 5882637256 6617966913 7584975777 8823955884 10113301036 11765274512 13235933826 15169951554 17647911768 20226602072 22754927331 23530549024 26471867652 30339903108 35295823536 40453204144 45509854662 52943735304 60679806216 70591647072 80906408288 91019709324 105887470608 121359612432 182039418648 184567743907 211774941216 242719224864 364078837296 369135487814 553703231721 728157674592 738270975628 1107406463442 1476541951256 1661109695163 2214812926884 2953083902512 3322219390326 4429625853768 5906167805024 6644438780652 8859251707536 13288877561304 17718503415072 26577755122608 53155510245216