Search a number
-
+
10183153092 = 2237532103419
BaseRepresentation
bin10010111101111011…
…01001010111000100
3222021200101202221020
421132331221113010
5131323341344332
64402244151140
7510230241660
oct113675512704
928250352836
1010183153092
114356140702
121b823984b0
13c63926598
146c85db8a0
153e8eda82c
hex25ef695c4

10183153092 has 144 divisors (see below), whose sum is σ = 28012508160. Its totient is φ = 2820115584.

The previous prime is 10183153069. The next prime is 10183153093. The reversal of 10183153092 is 29035138101.

It is not an unprimeable number, because it can be changed into a prime (10183153093) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24303259 + ... + 24303677.

Almost surely, 210183153092 is an apocalyptic number.

10183153092 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 10183153092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14006254080).

10183153092 is an abundant number, since it is smaller than the sum of its proper divisors (17829355068).

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

10183153092 is a wasteful number, since it uses less digits than its factorization.

10183153092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 642 (or 587 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 33.

The spelling of 10183153092 in words is "ten billion, one hundred eighty-three million, one hundred fifty-three thousand, ninety-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 53 84 103 106 159 206 212 309 318 371 412 419 618 636 721 742 838 1113 1236 1257 1442 1484 1676 2163 2226 2514 2809 2884 2933 4326 4452 5028 5459 5618 5866 8427 8652 8799 10918 11236 11732 16377 16854 17598 19663 21836 22207 32754 33708 35196 38213 39326 43157 44414 58989 65508 66621 76426 78652 86314 88828 114639 117978 129471 133242 152852 155449 172628 229278 235956 258942 266484 289327 302099 310898 458556 466347 517884 578654 604198 621796 867981 906297 932694 1157308 1176971 1208396 1735962 1812594 1865388 2025289 2287321 2353942 3471924 3530913 3625188 4050578 4574642 4707884 6075867 6861963 7061826 8101156 8238797 9149284 12151734 13723926 14123652 16011247 16477594 24303468 24716391 27447852 32022494 32955188 48033741 49432782 64044988 96067482 98865564 121228013 192134964 242456026 363684039 484912052 727368078 848596091 1454736156 1697192182 2545788273 3394384364 5091576546 10183153092