Search a number
-
+
23093035392 = 273727113169
BaseRepresentation
bin10101100000011100…
…111100000110000000
32012121101121202011010
4111200130330012000
5334243304113032
614335255520520
71445160363540
oct254034740600
965541552133
1023093035392
119880464319
124585989140
1322404348ab
141190dc9320
1590258accc
hex56073c180

23093035392 has 128 divisors (see below), whose sum is σ = 70151846400. Its totient is φ = 6593495040.

The previous prime is 23093035351. The next prime is 23093035429. The reversal of 23093035392 is 29353039032.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 23093035392.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7285584 + ... + 7288752.

It is an arithmetic number, because the mean of its divisors is an integer number (548061300).

Almost surely, 223093035392 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23093035392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35075923200).

23093035392 is an abundant number, since it is smaller than the sum of its proper divisors (47058811008).

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

23093035392 is a wasteful number, since it uses less digits than its factorization.

23093035392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5904 (or 5892 counting only the distinct ones).

The product of its (nonzero) digits is 131220, while the sum is 39.

The spelling of 23093035392 in words is "twenty-three billion, ninety-three million, thirty-five thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 336 384 448 672 896 1344 2688 2711 3169 5422 6338 8133 9507 10844 12676 16266 18977 19014 21688 22183 25352 32532 37954 38028 43376 44366 50704 56931 65064 66549 75908 76056 86752 88732 101408 113862 130128 133098 151816 152112 173504 177464 202816 227724 260256 266196 303632 304224 347008 354928 405632 455448 520512 532392 607264 608448 709856 910896 1041024 1064784 1214528 1216896 1419712 1821792 2129568 2429056 2839424 3643584 4259136 7287168 8518272 8591159 17182318 25773477 34364636 51546954 60138113 68729272 103093908 120276226 137458544 180414339 206187816 240552452 274917088 360828678 412375632 481104904 549834176 721657356 824751264 962209808 1099668352 1443314712 1649502528 1924419616 2886629424 3299005056 3848839232 5773258848 7697678464 11546517696 23093035392