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216480660352 = 27112310364901
BaseRepresentation
bin1100100110011101000…
…0001011101110000000
3202200202220112222100021
43021213100023232000
512021323022112402
6243241055503224
721432410152315
oct3114720135600
9680686488307
10216480660352
1183899764260
1235b56b27b14
131754c8487c8
14a698c12d0c
155970262d37
hex326740bb80

216480660352 has 128 divisors (see below), whose sum is σ = 495705899520. Its totient is φ = 93206784000.

The previous prime is 216480660343. The next prime is 216480660367. The reversal of 216480660352 is 253066084612.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 216480660299 and 216480660308.

It is a congruent number.

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, 3303102 + ... + 3368002.

It is an arithmetic number, because the mean of its divisors is an integer number (3872702340).

Almost surely, 2216480660352 is an apocalyptic number.

216480660352 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216480660352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247852949760).

216480660352 is an abundant number, since it is smaller than the sum of its proper divisors (279225239168).

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

216480660352 is a wasteful number, since it uses less digits than its factorization.

216480660352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65052 (or 65040 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 43.

The spelling of 216480660352 in words is "two hundred sixteen billion, four hundred eighty million, six hundred sixty thousand, three hundred fifty-two".

Divisors: 1 2 4 8 11 16 22 23 32 44 46 64 88 92 103 128 176 184 206 253 352 368 412 506 704 736 824 1012 1133 1408 1472 1648 2024 2266 2369 2944 3296 4048 4532 4738 6592 8096 9064 9476 13184 16192 18128 18952 26059 32384 36256 37904 52118 64901 72512 75808 104236 129802 145024 151616 208472 259604 303232 416944 519208 713911 833888 1038416 1427822 1492723 1667776 2076832 2855644 2985446 3335552 4153664 5711288 5970892 6684803 8307328 11422576 11941784 13369606 16419953 22845152 23883568 26739212 32839906 45690304 47767136 53478424 65679812 73532833 91380608 95534272 106956848 131359624 147065666 153750469 191068544 213913696 262719248 294131332 307500938 427827392 525438496 588262664 615001876 855654784 1050876992 1176525328 1230003752 1691255159 2101753984 2353050656 2460007504 3382510318 4706101312 4920015008 6765020636 9412202624 9840030016 13530041272 19680060032 27060082544 54120165088 108240330176 216480660352