Search a number
-
+
216396020016 = 243311172678699
BaseRepresentation
bin1100100110001000110…
…1010011100100110000
3202200120000021210122000
43021202031103210300
512021134340120031
6243224433414000
721430331551431
oct3114215234460
9680500253560
10216396020016
1183855a03770
1235b3270a300
1317538152277
14a68b89d488
155967ae43e6
hex3262353930

216396020016 has 160 divisors (see below), whose sum is σ = 717463008000. Its totient is φ = 61717201920.

The previous prime is 216396020003. The next prime is 216396020021. The reversal of 216396020016 is 610020693612.

It is a happy number.

216396020016 is a `hidden beast` number, since 2 + 1 + 6 + 39 + 602 + 0 + 0 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1258566 + ... + 1420133.

It is an arithmetic number, because the mean of its divisors is an integer number (4484143800).

Almost surely, 2216396020016 is an apocalyptic number.

It is an amenable number.

216396020016 is an abundant number, since it is smaller than the sum of its proper divisors (501066987984).

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

216396020016 is a wasteful number, since it uses less digits than its factorization.

216396020016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2678744 (or 2678732 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 216396020016 in words is "two hundred sixteen billion, three hundred ninety-six million, twenty thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 16 17 18 22 24 27 33 34 36 44 48 51 54 66 68 72 88 99 102 108 132 136 144 153 176 187 198 204 216 264 272 297 306 374 396 408 432 459 528 561 594 612 748 792 816 918 1122 1188 1224 1496 1584 1683 1836 2244 2376 2448 2992 3366 3672 4488 4752 5049 6732 7344 8976 10098 13464 20196 26928 40392 80784 2678699 5357398 8036097 10714796 16072194 21429592 24108291 29465689 32144388 42859184 45537883 48216582 58931378 64288776 72324873 88397067 91075766 96433164 117862756 128577552 136613649 144649746 176794134 182151532 192866328 235725512 265191201 273227298 289299492 353588268 364303064 385732656 409840947 471451024 500916713 530382402 546454596 578598984 707176536 728606128 795573603 819681894 1001833426 1060764804 1092909192 1157197968 1229522841 1414353072 1502750139 1591147206 1639363788 2003666852 2121529608 2185818384 2459045682 3005500278 3182294412 3278727576 4007333704 4243059216 4508250417 4918091364 6011000556 6364588824 6557455152 8014667408 9016500834 9836182728 12022001112 12729177648 13524751251 18033001668 19672365456 24044002224 27049502502 36066003336 54099005004 72132006672 108198010008 216396020016