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212263713043416 = 233343320021113357
BaseRepresentation
bin110000010000110101111111…
…001101101111001111011000
31000211120012202010022210122000
4300100311333031233033120
5210310212041014342131
62031240334213201000
762465355454242306
oct6020657715571730
91024505663283560
10212263713043416
11616a7598344931
121b982168030160
1391594c7a67608
143a5b893351276
1519816edb27ce6
hexc10d7f36f3d8

212263713043416 has 128 divisors (see below), whose sum is σ = 591017869310400. Its totient is φ = 70587016980480.

The previous prime is 212263713043411. The next prime is 212263713043427. The reversal of 212263713043416 is 614340317362212.

212263713043416 is a `hidden beast` number, since 2 + 1 + 2 + 2 + 63 + 7 + 130 + 43 + 416 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212263713043411) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1872467410 + ... + 1872580766.

Almost surely, 2212263713043416 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 212263713043416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295508934655200).

212263713043416 is an abundant number, since it is smaller than the sum of its proper divisors (378754156266984).

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

212263713043416 is a wasteful number, since it uses less digits than its factorization.

212263713043416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133826 (or 133816 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 212263713043416 in words is "two hundred twelve trillion, two hundred sixty-three billion, seven hundred thirteen million, forty-three thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 433 866 1299 1732 2598 3464 3897 5196 7794 10392 11691 15588 20021 23382 31176 40042 46764 60063 80084 93528 113357 120126 160168 180189 226714 240252 340071 360378 453428 480504 540567 680142 720756 906856 1020213 1081134 1360284 1441512 2040426 2162268 2720568 3060639 4080852 4324536 6121278 8161704 8669093 12242556 17338186 24485112 26007279 34676372 49083581 52014558 69352744 78021837 98167162 104029116 147250743 156043674 196334324 208058232 234065511 294501486 312087348 392668648 441752229 468131022 589002972 624174696 883504458 936262044 1178005944 1325256687 1767008916 1872524088 2269520497 2650513374 3534017832 4539040994 5301026748 6808561491 9078081988 10602053496 13617122982 18156163976 20425684473 27234245964 40851368946 54468491928 61277053419 81702737892 122554106838 163405475784 245108213676 490216427352 982702375201 1965404750402 2948107125603 3930809500804 5896214251206 7861619001608 8844321376809 11792428502412 17688642753618 23584857004824 26532964130427 35377285507236 53065928260854 70754571014472 106131856521708 212263713043416