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216276924948672 = 2637178790050549
BaseRepresentation
bin110001001011001111100101…
…010010001110000011000000
31001100202212112202112211101110
4301023033211102032003000
5211321440120241324142
62043552125300203320
763361330550503560
oct6113174522160300
91040685482484343
10216276924948672
1162a0458a895465
122030bb00699540
13938aa98ac9b63
143b59c0521ada0
151a00cd494199c
hexc4b3e548e0c0

216276924948672 has 112 divisors (see below), whose sum is σ = 654346198137600. Its totient is φ = 61758827031552.

The previous prime is 216276924948671. The next prime is 216276924948691. The reversal of 216276924948672 is 276849429672612.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 216276924948594 and 216276924948603.

It is not an unprimeable number, because it can be changed into a prime (216276924948671) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42623547 + ... + 47427002.

Almost surely, 2216276924948672 is an apocalyptic number.

It is an amenable number.

216276924948672 is an abundant number, since it is smaller than the sum of its proper divisors (438069273188928).

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

216276924948672 is a wasteful number, since it uses less digits than its factorization.

216276924948672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90052358 (or 90052348 counting only the distinct ones).

The product of its digits is 1755758592, while the sum is 75.

The spelling of 216276924948672 in words is "two hundred sixteen trillion, two hundred seventy-six billion, nine hundred twenty-four million, nine hundred forty-eight thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 1787 3574 5361 7148 10722 12509 14296 21444 25018 28592 37527 42888 50036 57184 75054 85776 100072 114368 150108 171552 200144 300216 343104 400288 600432 800576 1200864 2401728 90050549 180101098 270151647 360202196 540303294 630353843 720404392 1080606588 1260707686 1440808784 1891061529 2161213176 2521415372 2881617568 3782123058 4322426352 5042830744 5763235136 7564246116 8644852704 10085661488 15128492232 17289705408 20171322976 30256984464 40342645952 60513968928 121027937856 160920331063 321840662126 482760993189 643681324252 965521986378 1126442317441 1287362648504 1931043972756 2252884634882 2574725297008 3379326952323 3862087945512 4505769269764 5149450594016 6758653904646 7724175891024 9011538539528 10298901188032 13517307809292 15448351782048 18023077079056 27034615618584 30896703564096 36046154158112 54069231237168 72092308316224 108138462474336 216276924948672