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216686616795904 = 283127112405389
BaseRepresentation
bin110001010001001101001000…
…110100100101101100000000
31001102020001000220001001101011
4301101031020310211230000
5211400143142344432104
62044504242454250304
763433043235653143
oct6121151064455400
91042201026031334
10216686616795904
116305230719a062
1220377399656994
1393ba5ca331a38
143b7198c64a05a
151a0b7b2128904
hexc51348d25b00

216686616795904 has 108 divisors (see below), whose sum is σ = 453224175117840. Its totient is φ = 103371617126400.

The previous prime is 216686616795899. The next prime is 216686616795949. The reversal of 216686616795904 is 409597616686612.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11264442 + ... + 23669830.

It is an arithmetic number, because the mean of its divisors is an integer number (4196520139980).

Almost surely, 2216686616795904 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 216686616795904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226612087558920).

216686616795904 is an abundant number, since it is smaller than the sum of its proper divisors (236537558321936).

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

216686616795904 is an equidigital number, since it uses as much as digits as its factorization.

216686616795904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12405538 (or 12405493 counting only the distinct ones).

The product of its (nonzero) digits is 1410877440, while the sum is 76.

The spelling of 216686616795904 in words is "two hundred sixteen trillion, six hundred eighty-six billion, six hundred sixteen million, seven hundred ninety-five thousand, nine hundred four".

Divisors: 1 2 4 8 16 31 32 62 64 71 124 128 142 248 256 284 496 568 961 992 1136 1922 1984 2201 2272 3844 3968 4402 4544 7688 7936 8804 9088 15376 17608 18176 30752 35216 61504 68231 70432 123008 136462 140864 246016 272924 281728 545848 563456 1091696 2183392 4366784 8733568 12405389 17467136 24810778 49621556 99243112 198486224 384567059 396972448 769134118 793944896 880782619 1538268236 1587889792 1761565238 3076536472 3175779584 3523130476 6153072944 7046260952 11921578829 12306145888 14092521904 23843157658 24612291776 27304261189 28185043808 47686315316 49224583552 54608522378 56370087616 95372630632 98449167104 109217044756 112740175232 190745261264 218434089512 225480350464 381490522528 436868179024 762981045056 846432096859 873736358048 1525962090112 1692864193718 1747472716096 3051924180224 3385728387436 3494945432192 6771456774872 6989890864384 13542913549744 27085827099488 54171654198976 108343308397952 216686616795904