Search a number
-
+
16091540352 = 27343741947
BaseRepresentation
bin11101111110010000…
…10110101110000000
31112112110001221120000
432333020112232000
5230423413242402
611220425320000
71106522556546
oct167710265600
945473057500
1016091540352
116908289488
123151036000
131695a27314
14ac919dd96
15642a78c1c
hex3bf216b80

16091540352 has 160 divisors (see below), whose sum is σ = 49183610520. Its totient is φ = 5218753536.

The previous prime is 16091540327. The next prime is 16091540359. The reversal of 16091540352 is 25304519061.

16091540352 is a `hidden beast` number, since 1 + 60 + 9 + 1 + 540 + 3 + 52 = 666.

16091540352 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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16091540359) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 362643 + ... + 404589.

Almost surely, 216091540352 is an apocalyptic number.

16091540352 is a gapful number since it is divisible by the number (12) 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 16091540352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24591805260).

16091540352 is an abundant number, since it is smaller than the sum of its proper divisors (33092070168).

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

16091540352 is an equidigital number, since it uses as much as digits as its factorization.

16091540352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42010 (or 41989 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 16091540352 in words is "sixteen billion, ninety-one million, five hundred forty thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 37 48 54 64 72 74 81 96 108 111 128 144 148 162 192 216 222 288 296 324 333 384 432 444 576 592 648 666 864 888 999 1152 1184 1296 1332 1728 1776 1998 2368 2592 2664 2997 3456 3552 3996 4736 5184 5328 5994 7104 7992 10368 10656 11988 14208 15984 21312 23976 31968 41947 42624 47952 63936 83894 95904 125841 127872 167788 191808 251682 335576 377523 383616 503364 671152 755046 1006728 1132569 1342304 1510092 1552039 2013456 2265138 2684608 3020184 3104078 3397707 4026912 4530276 4656117 5369216 6040368 6208156 6795414 8053824 9060552 9312234 12080736 12416312 13590828 13968351 16107648 18121104 18624468 24161472 24832624 27181656 27936702 36242208 37248936 41905053 48322944 49665248 54363312 55873404 72484416 74497872 83810106 99330496 108726624 111746808 125715159 144968832 148995744 167620212 198660992 217453248 223493616 251430318 297991488 335240424 434906496 446987232 502860636 595982976 670480848 893974464 1005721272 1340961696 1787948928 2011442544 2681923392 4022885088 5363846784 8045770176 16091540352