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116306416432256 = 276762112183521
BaseRepresentation
bin11010011100011110110010…
…101000101111010010000000
3120020210210012010122220002112
4122130132302220233102000
5110221031020101313011
61051210232522234452
733332601264653111
oct3234366250572200
9506723163586075
10116306416432256
1134071301a79416
1211064b67655a28
134cb88568a171b
1420a13910c2208
15d6a5e42ee58b
hex69c7b2a2f480

116306416432256 has 64 divisors (see below), whose sum is σ = 235200430433760. Its totient is φ = 57276000460800.

The previous prime is 116306416432223. The next prime is 116306416432343. The reversal of 116306416432256 is 652234614603611.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52173776 + ... + 54357296.

Almost surely, 2116306416432256 is an apocalyptic number.

116306416432256 is a gapful number since it is divisible by the number (16) 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 116306416432256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117600215216880).

116306416432256 is an abundant number, since it is smaller than the sum of its proper divisors (118894014001504).

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

116306416432256 is an equidigital number, since it uses as much as digits as its factorization.

116306416432256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2189813 (or 2189801 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 50.

The spelling of 116306416432256 in words is "one hundred sixteen trillion, three hundred six billion, four hundred sixteen million, four hundred thirty-two thousand, two hundred fifty-six".

Divisors: 1 2 4 8 16 32 64 67 128 134 268 536 1072 2144 4288 6211 8576 12422 24844 49688 99376 198752 397504 416137 795008 832274 1664548 2183521 3329096 4367042 6658192 8734084 13316384 17468168 26632768 34936336 53265536 69872672 139745344 146295907 279490688 292591814 585183628 1170367256 2340734512 4681469024 9362938048 13561848931 18725876096 27123697862 54247395724 108494791448 216989582896 433979165792 867958331584 908643878377 1735916663168 1817287756754 3634575513508 7269151027016 14538302054032 29076604108064 58153208216128 116306416432256