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99916681216 = 2121124492
BaseRepresentation
bin101110100001101111…
…1111001000000000000
3100112220100212022100211
41131003133321000000
53114112132244331
6113522345123504
710135012530412
oct1350337710000
9315810768324
1099916681216
11394133a8500
1217445a89594
1395644898a1
144b9bd729b2
1528ebc7c8b1
hex17437f9000

99916681216 has 117 divisors (see below), whose sum is σ = 220114965553. Its totient is φ = 45315522560.

The previous prime is 99916681211. The next prime is 99916681223. The reversal of 99916681216 is 61218661999.

The square root of 99916681216 is 316096.

It is a perfect power (a square), and thus also a powerful number.

99916681216 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 61060386816 + 38856294400 = 247104^2 + 197120^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (99916681211) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 222531360 + ... + 222531808.

Almost surely, 299916681216 is an apocalyptic number.

99916681216 is the 316096-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99916681216

99916681216 is an abundant number, since it is smaller than the sum of its proper divisors (120198284337).

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

99916681216 is an frugal number, since it uses more digits than its factorization.

99916681216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 944 (or 462 counting only the distinct ones).

The product of its digits is 2519424, while the sum is 58.

The spelling of 99916681216 in words is "ninety-nine billion, nine hundred sixteen million, six hundred eighty-one thousand, two hundred sixteen".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 242 256 352 449 484 512 704 898 968 1024 1408 1796 1936 2048 2816 3592 3872 4096 4939 5632 7184 7744 9878 11264 14368 15488 19756 22528 28736 30976 39512 45056 54329 57472 61952 79024 108658 114944 123904 158048 201601 217316 229888 247808 316096 403202 434632 459776 495616 632192 806404 869264 919552 1264384 1612808 1738528 1839104 2217611 2528768 3225616 3477056 4435222 5057536 6451232 6954112 8870444 10115072 12902464 13908224 17740888 20230144 24393721 25804928 27816448 35481776 48787442 51609856 55632896 70963552 97574884 103219712 111265792 141927104 195149768 206439424 222531584 283854208 390299536 412878848 567708416 780599072 825757696 1135416832 1561198144 2270833664 3122396288 4541667328 6244792576 9083334656 12489585152 24979170304 49958340608 99916681216