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1099986816 = 2736134673
BaseRepresentation
bin100000110010000…
…0111011110000000
32211122211010020110
41001210013132000
54223044034231
6301052311320
736154506435
oct10144073600
92748733213
101099986816
11514a06415
12268472540
13146b77996
14a6137b8c
1566882046
hex41907780

1099986816 has 64 divisors (see below), whose sum is σ = 2927232720. Its totient is φ = 365985792.

The previous prime is 1099986793. The next prime is 1099986821. The reversal of 1099986816 is 6186899901.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 233056 + ... + 237728.

Almost surely, 21099986816 is an apocalyptic number.

1099986816 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 1099986816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1463616360).

1099986816 is an abundant number, since it is smaller than the sum of its proper divisors (1827245904).

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

1099986816 is an equidigital number, since it uses as much as digits as its factorization.

1099986816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5303 (or 5291 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 57.

The square root of 1099986816 is about 33166.0491466801. The cubic root of 1099986816 is about 1032.2759913244.

The spelling of 1099986816 in words is "one billion, ninety-nine million, nine hundred eighty-six thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 613 1226 1839 2452 3678 4673 4904 7356 9346 9808 14019 14712 18692 19616 28038 29424 37384 39232 56076 58848 74768 78464 112152 117696 149536 224304 235392 299072 448608 598144 897216 1794432 2864549 5729098 8593647 11458196 17187294 22916392 34374588 45832784 68749176 91665568 137498352 183331136 274996704 366662272 549993408 1099986816