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16009748480 = 21351135533
BaseRepresentation
bin11101110100100000…
…10110000000000000
31112022202011111012102
432322100112000000
5230241443422410
611204344245532
71104510421355
oct167220260000
945282144172
1016009748480
1168760a3aa0
1231297708a8
131681aba46b
14abc38c62c
1563a7be2a5
hex3ba416000

16009748480 has 112 divisors (see below), whose sum is σ = 41915053584. Its totient is φ = 5821562880.

The previous prime is 16009748449. The next prime is 16009748507. The reversal of 16009748480 is 8484790061.

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, 432794 + ... + 468326.

Almost surely, 216009748480 is an apocalyptic number.

16009748480 is a gapful number since it is divisible by the number (10) 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 16009748480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20957526792).

16009748480 is an abundant number, since it is smaller than the sum of its proper divisors (25905305104).

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

16009748480 is an equidigital number, since it uses as much as digits as its factorization.

16009748480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35575 (or 35551 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 47.

The spelling of 16009748480 in words is "sixteen billion, nine million, seven hundred forty-eight thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 256 320 352 440 512 640 704 880 1024 1280 1408 1760 2048 2560 2816 3520 4096 5120 5632 7040 8192 10240 11264 14080 20480 22528 28160 35533 40960 45056 56320 71066 90112 112640 142132 177665 225280 284264 355330 390863 450560 568528 710660 781726 1137056 1421320 1563452 1954315 2274112 2842640 3126904 3908630 4548224 5685280 6253808 7817260 9096448 11370560 12507616 15634520 18192896 22741120 25015232 31269040 36385792 45482240 50030464 62538080 72771584 90964480 100060928 125076160 145543168 181928960 200121856 250152320 291086336 363857920 400243712 500304640 727715840 800487424 1000609280 1455431680 1600974848 2001218560 3201949696 4002437120 8004874240 16009748480