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16740807680 = 210523314033
BaseRepresentation
bin11111001011101010…
…00111010000000000
31121012200210010220002
433211311013100000
5233241121321210
611405101335132
71131565342322
oct174565072000
947180703802
1016740807680
117110827653
1232b25674a8
13176a3b297c
14b4b4cd612
1567ea794a5
hex3e5d47400

16740807680 has 88 divisors (see below), whose sum is σ = 40333547592. Its totient is φ = 6667108352.

The previous prime is 16740807637. The next prime is 16740807683. The reversal of 16740807680 is 8670804761.

It can be written as a sum of positive squares in 4 ways, for example, as 52301824 + 16688505856 = 7232^2 + 129184^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16740807683) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1185944 + ... + 1199976.

Almost surely, 216740807680 is an apocalyptic number.

16740807680 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 16740807680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20166773796).

16740807680 is an abundant number, since it is smaller than the sum of its proper divisors (23592739912).

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

16740807680 is a wasteful number, since it uses less digits than its factorization.

16740807680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14291 (or 14273 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 47.

The spelling of 16740807680 in words is "sixteen billion, seven hundred forty million, eight hundred seven thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 233 256 320 466 512 640 932 1024 1165 1280 1864 2330 2560 3728 4660 5120 7456 9320 14033 14912 18640 28066 29824 37280 56132 59648 70165 74560 112264 119296 140330 149120 224528 238592 280660 298240 449056 561320 596480 898112 1122640 1192960 1796224 2245280 3269689 3592448 4490560 6539378 7184896 8981120 13078756 14369792 16348445 17962240 26157512 32696890 35924480 52315024 65393780 71848960 104630048 130787560 209260096 261575120 418520192 523150240 837040384 1046300480 1674080768 2092600960 3348161536 4185201920 8370403840 16740807680