Search a number
-
+
216116661510 = 232531317244357
BaseRepresentation
bin1100100101000110001…
…1101000110100000110
3202122211112121220210200
43021101203220310012
512020101331132020
6243141014031330
721420400212231
oct3112143506406
9678745556720
10216116661510
1183722248572
1235a75048546
13174c2300889
14a662740418
15594d311590
hex32518e8d06

216116661510 has 96 divisors (see below), whose sum is σ = 581861359872. Its totient is φ = 55595877120.

The previous prime is 216116661503. The next prime is 216116661577. The reversal of 216116661510 is 15166611612.

It is a super-2 number, since 2×2161166615102 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 762252 + ... + 1006608.

It is an arithmetic number, because the mean of its divisors is an integer number (6061055832).

Almost surely, 2216116661510 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216116661510, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290930679936).

216116661510 is an abundant number, since it is smaller than the sum of its proper divisors (365744698362).

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

216116661510 is a wasteful number, since it uses less digits than its factorization.

216116661510 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244718 (or 244715 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The spelling of 216116661510 in words is "two hundred sixteen billion, one hundred sixteen million, six hundred sixty-one thousand, five hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 31 45 62 90 93 155 186 279 310 317 465 558 634 930 951 1395 1585 1902 2790 2853 3170 4755 5706 9510 9827 14265 19654 28530 29481 49135 58962 88443 98270 147405 176886 244357 294810 442215 488714 733071 884430 1221785 1466142 2199213 2443570 3665355 4398426 7330710 7575067 10996065 15150134 21992130 22725201 37875335 45450402 68175603 75750670 77461169 113626005 136351206 154922338 227252010 232383507 340878015 387305845 464767014 681756030 697150521 774611690 1161917535 1394301042 2323835070 2401296239 3485752605 4802592478 6971505210 7203888717 12006481195 14407777434 21611666151 24012962390 36019443585 43223332302 72038887170 108058330755 216116661510