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216431631424 = 2619375981533
BaseRepresentation
bin1100100110010001010…
…1001001110001000000
3202200122111022001022001
43021210111021301000
512021222444201144
6243232144553344
721431243340661
oct3114425116100
9680574261261
10216431631424
1183874017088
1235b42622854
13175426403c8
14a6924cd368
15596accabd4
hex3264549c40

216431631424 has 112 divisors (see below), whose sum is σ = 472179700800. Its totient is φ = 98057558016.

The previous prime is 216431631401. The next prime is 216431631499. The reversal of 216431631424 is 424136134612.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2613762 + ... + 2695294.

Almost surely, 2216431631424 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 216431631424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236089850400).

216431631424 is an abundant number, since it is smaller than the sum of its proper divisors (255748069376).

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

216431631424 is a wasteful number, since it uses less digits than its factorization.

216431631424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81660 (or 81650 counting only the distinct ones).

The product of its digits is 82944, while the sum is 37.

The spelling of 216431631424 in words is "two hundred sixteen billion, four hundred thirty-one million, six hundred thirty-one thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 19 32 37 38 59 64 74 76 118 148 152 236 296 304 472 592 608 703 944 1121 1184 1216 1406 1888 2183 2242 2368 2812 3776 4366 4484 5624 8732 8968 11248 17464 17936 22496 34928 35872 41477 44992 69856 71744 81533 82954 139712 163066 165908 326132 331816 652264 663632 1304528 1327264 1549127 2609056 2654528 3016721 3098254 4810447 5218112 6033442 6196508 9620894 12066884 12393016 19241788 24133768 24786032 38483576 48267536 49572064 57317699 76967152 91398493 96535072 99144128 114635398 153934304 177986539 182796986 193070144 229270796 307868608 355973078 365593972 458541592 711946156 731187944 917083184 1423892312 1462375888 1834166368 2847784624 2924751776 3381744241 3668332736 5695569248 5849503552 6763488482 11391138496 13526976964 27053953928 54107907856 108215815712 216431631424