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23009301168 = 2437178348533
BaseRepresentation
bin10101011011011101…
…100001001010110000
32012101120001121101120
4111123131201022300
5334110340114133
614323105102240
71443122555460
oct253335411260
965346047346
1023009301168
119838172587
124561927980
132228c97909
141183c2dba0
158ea04aab3
hex55b7612b0

23009301168 has 160 divisors (see below), whose sum is σ = 72796340736. Its totient is φ = 6112702464.

The previous prime is 23009301127. The next prime is 23009301179. The reversal of 23009301168 is 86110390032.

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 31 ways as a sum of consecutive naturals, for example, 449830 + ... + 498362.

Almost surely, 223009301168 is an apocalyptic number.

23009301168 is a gapful number since it is divisible by the number (28) 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 23009301168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36398170368).

23009301168 is an abundant number, since it is smaller than the sum of its proper divisors (49787039568).

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

23009301168 is a wasteful number, since it uses less digits than its factorization.

23009301168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48651 (or 48645 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The spelling of 23009301168 in words is "twenty-three billion, nine million, three hundred one thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 34 42 48 51 56 68 83 84 102 112 119 136 166 168 204 238 249 272 332 336 357 408 476 498 581 664 714 816 952 996 1162 1328 1411 1428 1743 1904 1992 2324 2822 2856 3486 3984 4233 4648 5644 5712 6972 8466 9296 9877 11288 13944 16932 19754 22576 27888 29631 33864 39508 48533 59262 67728 79016 97066 118524 145599 158032 194132 237048 291198 339731 388264 474096 582396 679462 776528 825061 1019193 1164792 1358924 1650122 2038386 2329584 2475183 2717848 3300244 4028239 4076772 4950366 5435696 5775427 6600488 8056478 8153544 9900732 11550854 12084717 13200976 16112956 16307088 17326281 19801464 23101708 24169434 28197673 32225912 34652562 39602928 46203416 48338868 56395346 64451824 68480063 69305124 84593019 92406832 96677736 112790692 136960126 138610248 169186038 193355472 205440189 225581384 273920252 277220496 338372076 410880378 451162768 479360441 547840504 676744152 821760756 958720882 1095681008 1353488304 1438081323 1643521512 1917441764 2876162646 3287043024 3834883528 5752325292 7669767056 11504650584 23009301168