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23025414480 = 24351927718229
BaseRepresentation
bin10101011100011010…
…111111000101010000
32012102200101020200220
4111130122333011100
5334124001230410
614324442313040
71443406536165
oct253432770520
965380336626
1023025414480
119846278772
1245671b8780
13222c419c13
14118602606c
158eb680070
hex55c6bf150

23025414480 has 160 divisors (see below), whose sum is σ = 75410947200. Its totient is φ = 5795629056.

The previous prime is 23025414449. The next prime is 23025414491. The reversal of 23025414480 is 8441452032.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1254006 + ... + 1272234.

It is an arithmetic number, because the mean of its divisors is an integer number (471318420).

Almost surely, 223025414480 is an apocalyptic number.

23025414480 is a gapful number since it is divisible by the number (20) 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 23025414480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37705473600).

23025414480 is an abundant number, since it is smaller than the sum of its proper divisors (52385532720).

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

23025414480 is a wasteful number, since it uses less digits than its factorization.

23025414480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18541 (or 18535 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 33.

The spelling of 23025414480 in words is "twenty-three billion, twenty-five million, four hundred fourteen thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 38 40 48 57 60 76 80 95 114 120 152 190 228 240 277 285 304 380 456 554 570 760 831 912 1108 1140 1385 1520 1662 2216 2280 2770 3324 4155 4432 4560 5263 5540 6648 8310 10526 11080 13296 15789 16620 18229 21052 22160 26315 31578 33240 36458 42104 52630 54687 63156 66480 72916 78945 84208 91145 105260 109374 126312 145832 157890 182290 210520 218748 252624 273435 291664 315780 346351 364580 421040 437496 546870 631560 692702 729160 874992 1039053 1093740 1263120 1385404 1458320 1731755 2078106 2187480 2770808 3463510 4156212 4374960 5049433 5195265 5541616 6927020 8312424 10098866 10390530 13854040 15148299 16624848 20197732 20781060 25247165 27708080 30296598 40395464 41562120 50494330 60593196 75741495 80790928 83124240 95939227 100988660 121186392 151482990 191878454 201977320 242372784 287817681 302965980 383756908 403954640 479696135 575635362 605931960 767513816 959392270 1151270724 1211863920 1439088405 1535027632 1918784540 2302541448 2878176810 3837569080 4605082896 5756353620 7675138160 11512707240 23025414480