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23408880432 = 2437833112699
BaseRepresentation
bin10101110011010001…
…110010101100110000
32020102101221100002120
4111303101302230300
5340420133133212
614430501314240
71456044125550
oct256321625460
966371840076
1023408880432
119a22780383
124653705980
1322909bc852
1411c0d25160
1592017988c
hex573472b30

23408880432 has 160 divisors (see below), whose sum is σ = 70195507200. Its totient is φ = 6583983360.

The previous prime is 23408880427. The next prime is 23408880433.

23408880432 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (23408880433) 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 31 ways as a sum of consecutive naturals, for example, 8671819 + ... + 8674517.

It is an arithmetic number, because the mean of its divisors is an integer number (438721920).

Almost surely, 223408880432 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 23408880432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35097753600).

23408880432 is an abundant number, since it is smaller than the sum of its proper divisors (46786626768).

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

23408880432 is a wasteful number, since it uses less digits than its factorization.

23408880432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3111 (or 3105 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 42.

It can be divided in two parts, 23408 and 880432, that added together give a triangular number (903840 = T1344).

The spelling of 23408880432 in words is "twenty-three billion, four hundred eight million, eight hundred eighty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 83 84 112 166 168 249 311 332 336 498 581 622 664 933 996 1162 1244 1328 1743 1866 1992 2177 2324 2488 2699 3486 3732 3984 4354 4648 4976 5398 6531 6972 7464 8097 8708 9296 10796 13062 13944 14928 16194 17416 18893 21592 25813 26124 27888 32388 34832 37786 43184 51626 52248 56679 64776 75572 77439 103252 104496 113358 129552 151144 154878 180691 206504 224017 226716 302288 309756 361382 413008 448034 453432 542073 619512 672051 722764 839389 896068 906864 1084146 1239024 1344102 1445528 1568119 1678778 1792136 2168292 2518167 2688204 2891056 3136238 3357556 3584272 4336584 4704357 5036334 5376408 5875723 6272476 6715112 8673168 9408714 10072668 10752816 11751446 12544952 13430224 17627169 18817428 20145336 23502892 25089904 35254338 37634856 40290672 47005784 69669287 70508676 75269712 94011568 139338574 141017352 209007861 278677148 282034704 418015722 487685009 557354296 836031444 975370018 1114708592 1463055027 1672062888 1950740036 2926110054 3344125776 3901480072 5852220108 7802960144 11704440216 23408880432