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16357985070 = 235721992281
BaseRepresentation
bin11110011110000001…
…10000101100101110
31120020000102201222220
433033000300230232
5232000121010240
611303104220210
71116236402400
oct171700605456
946200381886
1016357985070
116a34724329
12320630a666
131708ca6b0b
14b1271ab70
1565b15a5d0
hex3cf030b2e

16357985070 has 144 divisors (see below), whose sum is σ = 46062811728. Its totient is φ = 3706940160.

The previous prime is 16357985069. The next prime is 16357985093. The reversal of 16357985070 is 7058975361.

16357985070 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

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 71 ways as a sum of consecutive naturals, for example, 58213330 + ... + 58213610.

It is an arithmetic number, because the mean of its divisors is an integer number (319880637).

Almost surely, 216357985070 is an apocalyptic number.

16357985070 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 16357985070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23031405864).

16357985070 is an abundant number, since it is smaller than the sum of its proper divisors (29704826658).

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

16357985070 is a wasteful number, since it uses less digits than its factorization.

16357985070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 703 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 1587600, while the sum is 51.

The spelling of 16357985070 in words is "sixteen billion, three hundred fifty-seven million, nine hundred eighty-five thousand, seventy".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 49 70 98 105 147 199 210 245 281 294 398 490 562 597 735 843 995 1194 1393 1405 1470 1686 1967 1990 2786 2810 2985 3934 4179 4215 5901 5970 6965 8358 8430 9751 9835 11802 13769 13930 19502 19670 20895 27538 29253 29505 39601 41307 41790 48755 55919 58506 59010 68845 79202 82614 97510 111838 118803 137690 146265 167757 198005 206535 237606 277207 279595 292530 335514 391433 396010 413070 554414 559190 594015 782866 831621 838785 1174299 1188030 1386035 1663242 1677570 1940449 1957165 2348598 2740031 2772070 3880898 3914330 4158105 5480062 5821347 5871495 8220093 8316210 9702245 11127881 11642694 11742990 13700155 16440186 19404490 22255762 27400310 29106735 33383643 41100465 55639405 58213470 66767286 77895167 82200930 111278810 155790334 166918215 233685501 333836430 389475835 467371002 545266169 778951670 1090532338 1168427505 1635798507 2336855010 2726330845 3271597014 5452661690 8178992535 16357985070