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16289336640 = 263531753527
BaseRepresentation
bin11110010101110101…
…11000110101000000
31120001020021001001110
433022322320311000
5231330032233030
611252213003320
71114444035243
oct171272706500
946036231043
1016289336640
1169a99a6795
1231a7323540
1316c79bc545
14b0756b25a
156550ea1b0
hex3caeb8d40

16289336640 has 112 divisors (see below), whose sum is σ = 51882763392. Its totient is φ = 4330039296.

The previous prime is 16289336639. The next prime is 16289336711. The reversal of 16289336640 is 4663398261.

16289336640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 16289336640.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 277557 + ... + 331083.

Almost surely, 216289336640 is an apocalyptic number.

16289336640 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 16289336640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25941381696).

16289336640 is an abundant number, since it is smaller than the sum of its proper divisors (35593426752).

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

16289336640 is a wasteful number, since it uses less digits than its factorization.

16289336640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53864 (or 53854 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 48.

The spelling of 16289336640 in words is "sixteen billion, two hundred eighty-nine million, three hundred thirty-six thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 317 320 480 634 951 960 1268 1585 1902 2536 3170 3804 4755 5072 6340 7608 9510 10144 12680 15216 19020 20288 25360 30432 38040 50720 53527 60864 76080 101440 107054 152160 160581 214108 267635 304320 321162 428216 535270 642324 802905 856432 1070540 1284648 1605810 1712864 2141080 2569296 3211620 3425728 4282160 5138592 6423240 8564320 10277184 12846480 16968059 17128640 25692960 33936118 50904177 51385920 67872236 84840295 101808354 135744472 169680590 203616708 254520885 271488944 339361180 407233416 509041770 542977888 678722360 814466832 1018083540 1085955776 1357444720 1628933664 2036167080 2714889440 3257867328 4072334160 5429778880 8144668320 16289336640