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18416434368 = 263319773167
BaseRepresentation
bin10001001001101101…
…000111110011000000
31202112110202210120210
4101021231013303000
5300204101344433
612243240034120
71221243052323
oct211155076300
952473683523
1018416434368
1178a06627a2
12369b762940
1319765a7357
14c69c6c7ba
1572bc16463
hex449b47cc0

18416434368 has 112 divisors (see below), whose sum is σ = 50366029824. Its totient is φ = 5932830720.

The previous prime is 18416434343. The next prime is 18416434451. The reversal of 18416434368 is 86343461481.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

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, 5813521 + ... + 5816687.

Almost surely, 218416434368 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 18416434368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25183014912).

18416434368 is an abundant number, since it is smaller than the sum of its proper divisors (31949595456).

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

18416434368 is a wasteful number, since it uses less digits than its factorization.

18416434368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4190 (or 4180 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 48.

The spelling of 18416434368 in words is "eighteen billion, four hundred sixteen million, four hundred thirty-four thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 186 192 248 372 496 744 977 992 1488 1954 1984 2931 2976 3167 3908 5862 5952 6334 7816 9501 11724 12668 15632 19002 23448 25336 30287 31264 38004 46896 50672 60574 62528 76008 90861 93792 98177 101344 121148 152016 181722 187584 196354 202688 242296 294531 304032 363444 392708 484592 589062 608064 726888 785416 969184 1178124 1453776 1570832 1938368 2356248 2907552 3094159 3141664 4712496 5815104 6188318 6283328 9282477 9424992 12376636 18564954 18849984 24753272 37129908 49506544 74259816 95918929 99013088 148519632 191837858 198026176 287756787 297039264 383675716 575513574 594078528 767351432 1151027148 1534702864 2302054296 3069405728 4604108592 6138811456 9208217184 18416434368