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216027658137126 = 231183130732519281
BaseRepresentation
bin110001000111100111011011…
…110100110010111000100110
31001022220001010221001210202010
4301013213123310302320212
5211303344120440342001
62043241422555255050
763334324516533513
oct6107473364627046
91038801127053663
10216027658137126
11629188a7209590
122028b73574a486
1393704228ca6b4
143b4bb19d4230a
1519e95961a38d6
hexc479dbd32e26

216027658137126 has 128 divisors (see below), whose sum is σ = 477575042660352. Its totient is φ = 64597894400000.

The previous prime is 216027658137013. The next prime is 216027658137149. The reversal of 216027658137126 is 621731856720612.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23276329606 + ... + 23276338886.

It is an arithmetic number, because the mean of its divisors is an integer number (3731055020784).

Almost surely, 2216027658137126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216027658137126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238787521330176).

216027658137126 is an abundant number, since it is smaller than the sum of its proper divisors (261547384523226).

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

216027658137126 is a wasteful number, since it uses less digits than its factorization.

216027658137126 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13938.

The product of its (nonzero) digits is 10160640, while the sum is 57.

The spelling of 216027658137126 in words is "two hundred sixteen trillion, twenty-seven billion, six hundred fifty-eight million, one hundred thirty-seven thousand, one hundred twenty-six".

Divisors: 1 2 3 6 11 22 33 66 83 166 249 498 913 1307 1826 2614 2739 3251 3921 5478 6502 7842 9281 9753 14377 18562 19506 27843 28754 35761 43131 55686 71522 86262 102091 107283 108481 204182 214566 216962 269833 306273 325443 539666 612546 650886 770323 809499 1193291 1540646 1618998 2310969 2386582 2968163 3579873 4249057 4621938 5936326 7159746 8473553 8498114 8904489 12130267 12747171 16947106 17808978 24260534 25420659 25494342 30172531 36390801 46739627 50841318 60345062 72781602 90517593 93479254 133432937 140218881 181035186 266865874 280437762 331897841 352671731 400298811 663795682 705343462 800597622 995693523 1006812161 1058015193 1991387046 2013624322 2116030386 2504320073 3020436483 3879389041 5008640146 6040872966 7512960219 7758778082 11074933771 11638167123 15025920438 22149867542 23276334246 27547520803 33224801313 39435498017 55095041606 66449602626 78870996034 82642562409 118306494051 165285124818 236612988102 433790478187 867580956374 1301371434561 2602742869122 3273146335411 6546292670822 9819439006233 19638878012466 36004609689521 72009219379042 108013829068563 216027658137126