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16912117760 = 21257910453
BaseRepresentation
bin11111100000000101…
…00111000000000000
31121122122010121010212
433300002213000000
5234114000232020
611434101213252
71136045425526
oct176002470000
947578117125
1016912117760
1171994a442a
12333ba01228
131796a33395
14b66164316
1568eb17cc5
hex3f00a7000

16912117760 has 104 divisors (see below), whose sum is σ = 41101782720. Its totient is φ = 6678577152.

The previous prime is 16912117723. The next prime is 16912117799. The reversal of 16912117760 is 6771121961.

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, 1612694 + ... + 1623146.

Almost surely, 216912117760 is an apocalyptic number.

16912117760 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 16912117760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20550891360).

16912117760 is an abundant number, since it is smaller than the sum of its proper divisors (24189664960).

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

16912117760 is an equidigital number, since it uses as much as digits as its factorization.

16912117760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10561 (or 10539 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 41.

The spelling of 16912117760 in words is "sixteen billion, nine hundred twelve million, one hundred seventeen thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 79 80 128 158 160 256 316 320 395 512 632 640 790 1024 1264 1280 1580 2048 2528 2560 3160 4096 5056 5120 6320 10112 10240 10453 12640 20224 20480 20906 25280 40448 41812 50560 52265 80896 83624 101120 104530 161792 167248 202240 209060 323584 334496 404480 418120 668992 808960 825787 836240 1337984 1617920 1651574 1672480 2675968 3303148 3344960 4128935 5351936 6606296 6689920 8257870 10703872 13212592 13379840 16515740 21407744 26425184 26759680 33031480 42815488 52850368 53519360 66062960 105700736 107038720 132125920 211401472 214077440 264251840 422802944 528503680 845605888 1057007360 1691211776 2114014720 3382423552 4228029440 8456058880 16912117760