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16072828740 = 22325581315361
BaseRepresentation
bin11101111100000001…
…11110011101000100
31112111010212022001100
432332000332131010
5230404121004430
611214520300100
71106204535003
oct167600763504
945433768040
1016072828740
1168a8769141
123146911630
131691ba5467
14ac68ccc3a
156410ce960
hex3be03e744

16072828740 has 72 divisors (see below), whose sum is σ = 48765808728. Its totient is φ = 4285071360.

The previous prime is 16072828727. The next prime is 16072828741. The reversal of 16072828740 is 4782827061.

It can be written as a sum of positive squares in 4 ways, for example, as 4558680324 + 11514148416 = 67518^2 + 107304^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (16072828741) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1038660 + ... + 1054020.

It is an arithmetic number, because the mean of its divisors is an integer number (677302899).

Almost surely, 216072828740 is an apocalyptic number.

16072828740 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

16072828740 is an abundant number, since it is smaller than the sum of its proper divisors (32692979988).

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

16072828740 is a wasteful number, since it uses less digits than its factorization.

16072828740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21189 (or 21184 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The spelling of 16072828740 in words is "sixteen billion, seventy-two million, eight hundred twenty-eight thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 5813 11626 15361 17439 23252 29065 30722 34878 46083 52317 58130 61444 69756 76805 87195 92166 104634 116260 138249 153610 174390 184332 209268 230415 261585 276498 307220 348780 460830 523170 552996 691245 921660 1046340 1382490 2764980 89293493 178586986 267880479 357173972 446467465 535760958 803641437 892934930 1071521916 1339402395 1607282874 1785869860 2678804790 3214565748 4018207185 5357609580 8036414370 16072828740