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89350021467552 = 2536178811712231
BaseRepresentation
bin10100010100001101101100…
…010010100100110110100000
3102201100210000121210201021210
4110110031230102210312200
543202402320443430202
6514010455545550120
724551216553224526
oct2424155422446640
9381323017721253
1089350021467552
112651914984a49a
12a0307714a5340
133ab1894b98901
14180c7c7cda316
15a4e2ebea9c6c
hex51436c4a4da0

89350021467552 has 96 divisors (see below), whose sum is σ = 235190735547264. Its totient is φ = 29701300428800.

The previous prime is 89350021467481. The next prime is 89350021467557. The reversal of 89350021467552 is 25576412005398.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 89350021467492 and 89350021467501.

It is not an unprimeable number, because it can be changed into a prime (89350021467557) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 51327277 + ... + 53039507.

It is an arithmetic number, because the mean of its divisors is an integer number (2449903495284).

It is a 1-persistent number, because it is pandigital, but 2⋅89350021467552 = 178700042935104 is not.

Almost surely, 289350021467552 is an apocalyptic number.

It is an amenable number.

89350021467552 is an abundant number, since it is smaller than the sum of its proper divisors (145840714079712).

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

89350021467552 is a wasteful number, since it uses less digits than its factorization.

89350021467552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1713742 (or 1713734 counting only the distinct ones).

The product of its (nonzero) digits is 18144000, while the sum is 57.

The spelling of 89350021467552 in words is "eighty-nine trillion, three hundred fifty billion, twenty-one million, four hundred sixty-seven thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 617 881 1234 1762 1851 2468 2643 3524 3702 4936 5286 7048 7404 9872 10572 14096 14808 19744 21144 28192 29616 42288 59232 84576 543577 1087154 1630731 1712231 2174308 3261462 3424462 4348616 5136693 6522924 6848924 8697232 10273386 13045848 13697848 17394464 20546772 26091696 27395696 41093544 52183392 54791392 82187088 164374176 1056446527 1508475511 2112893054 3016951022 3169339581 4225786108 4525426533 6033902044 6338679162 8451572216 9050853066 12067804088 12677358324 16903144432 18101706132 24135608176 25354716648 33806288864 36203412264 48271216352 50709433296 72406824528 101418866592 144813649056 930729390287 1861458780574 2792188170861 3722917561148 5584376341722 7445835122296 11168752683444 14891670244592 22337505366888 29783340489184 44675010733776 89350021467552