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16991749120 = 21055362617
BaseRepresentation
bin11111101001100100…
…11000010000000000
31121212011222021211111
433310302120100000
5234244341432440
611450024053104
71141033325113
oct176462302000
947764867744
1016991749120
11722a443675
123362604194
1317aa394a28
14b7297257a
15696ae74ea
hex3f4c98400

16991749120 has 88 divisors (see below), whose sum is σ = 41530010904. Its totient is φ = 6668353536.

The previous prime is 16991749111. The next prime is 16991749139. The reversal of 16991749120 is 2194719961.

It can be written as a sum of positive squares in 4 ways, for example, as 220463104 + 16771286016 = 14848^2 + 129504^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 240052 + ... + 302668.

Almost surely, 216991749120 is an apocalyptic number.

16991749120 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 16991749120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20765005452).

16991749120 is an abundant number, since it is smaller than the sum of its proper divisors (24538261784).

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

16991749120 is an equidigital number, since it uses as much as digits as its factorization.

16991749120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62695 (or 62677 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 49.

The spelling of 16991749120 in words is "sixteen billion, nine hundred ninety-one million, seven hundred forty-nine thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 53 64 80 106 128 160 212 256 265 320 424 512 530 640 848 1024 1060 1280 1696 2120 2560 3392 4240 5120 6784 8480 13568 16960 27136 33920 54272 62617 67840 125234 135680 250468 271360 313085 500936 626170 1001872 1252340 2003744 2504680 3318701 4007488 5009360 6637402 8014976 10018720 13274804 16029952 16593505 20037440 26549608 32059904 33187010 40074880 53099216 64119808 66374020 80149760 106198432 132748040 160299520 212396864 265496080 320599040 424793728 530992160 849587456 1061984320 1699174912 2123968640 3398349824 4247937280 8495874560 16991749120