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16043121640 = 2357138535167
BaseRepresentation
bin11101111000011111…
…01001101111101000
31112102001222000120101
432330033221233220
5230324014343030
611211535435144
71105364166250
oct167417515750
945361860511
1016043121640
116892a18817
123138985ab4
1316889a38b0
14ac2998960
1563d6b27ca
hex3bc3e9be8

16043121640 has 128 divisors (see below), whose sum is σ = 44487797760. Its totient is φ = 5070449664.

The previous prime is 16043121623. The next prime is 16043121641. The reversal of 16043121640 is 4612134061.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 16043121599 and 16043121608.

It is not an unprimeable number, because it can be changed into a prime (16043121641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3102337 + ... + 3107503.

It is an arithmetic number, because the mean of its divisors is an integer number (347560920).

Almost surely, 216043121640 is an apocalyptic number.

16043121640 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 16043121640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22243898880).

16043121640 is an abundant number, since it is smaller than the sum of its proper divisors (28444676120).

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

16043121640 is a wasteful number, since it uses less digits than its factorization.

16043121640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6051 (or 6047 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The spelling of 16043121640 in words is "sixteen billion, forty-three million, one hundred twenty-one thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 40 52 56 65 70 91 104 130 140 182 260 280 364 455 520 728 853 910 1706 1820 3412 3640 4265 5167 5971 6824 8530 10334 11089 11942 17060 20668 22178 23884 25835 29855 34120 36169 41336 44356 47768 51670 55445 59710 67171 72338 77623 88712 103340 110890 119420 134342 144676 155246 180845 206680 221780 238840 268684 289352 310492 335855 361690 388115 443560 470197 537368 620984 671710 723380 776230 940394 1343420 1446760 1552460 1880788 2350985 2686840 3104920 3761576 4407451 4701970 8814902 9403940 17629804 18807880 22037255 30852157 35259608 44074510 57296863 61704314 88149020 114593726 123408628 154260785 176298040 229187452 246817256 286484315 308521570 401078041 458374904 572968630 617043140 802156082 1145937260 1234086280 1604312164 2005390205 2291874520 3208624328 4010780410 8021560820 16043121640