Search a number
-
+
23952460048 = 24111983211409
BaseRepresentation
bin10110010011101011…
…011000100100010000
32021211021210001010221
4112103223120210100
5343023312210143
615000440202424
71505364360016
oct262353304420
967737701127
1023952460048
11a1815a2830
124785769414
1323494c28aa
1412331c28b6
15952c502ed
hex593ad8910

23952460048 has 160 divisors (see below), whose sum is σ = 54321523200. Its totient is φ = 10117094400.

The previous prime is 23952460039. The next prime is 23952460073. The reversal of 23952460048 is 84006425932.

It is a junction number, because it is equal to n+sod(n) for n = 23952459986 and 23952460013.

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, 58563268 + ... + 58563676.

It is an arithmetic number, because the mean of its divisors is an integer number (339509520).

Almost surely, 223952460048 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 23952460048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27160761600).

23952460048 is an abundant number, since it is smaller than the sum of its proper divisors (30369063152).

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

23952460048 is a wasteful number, since it uses less digits than its factorization.

23952460048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 741 (or 735 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 43.

The spelling of 23952460048 in words is "twenty-three billion, nine hundred fifty-two million, four hundred sixty thousand, forty-eight".

Divisors: 1 2 4 8 11 16 19 22 38 44 76 83 88 152 166 176 209 211 304 332 409 418 422 664 818 836 844 913 1328 1577 1636 1672 1688 1826 2321 3154 3272 3344 3376 3652 4009 4499 4642 6308 6544 7304 7771 8018 8998 9284 12616 14608 15542 16036 17347 17513 17996 18568 25232 31084 32072 33947 34694 35026 35992 37136 44099 62168 64144 67894 69388 70052 71984 85481 86299 88198 124336 135788 138776 140104 170962 172598 176396 192643 271576 277552 280208 332747 341924 345196 352792 373417 385286 543152 644993 665494 683848 690392 705584 746834 770572 949289 1289986 1330988 1367696 1380784 1493668 1541144 1639681 1898578 2579972 2661976 2987336 3082288 3279362 3660217 3797156 5159944 5323952 5974672 6558724 7094923 7162817 7320434 7594312 10319888 13117448 14189846 14325634 14640868 15188624 18036491 26234896 28379692 28651268 29281736 36072982 56759384 57302536 58563472 72145964 78790987 113518768 114605072 136093523 144291928 157581974 272187046 288583856 315163948 544374092 630327896 1088748184 1260655792 1497028753 2177496368 2994057506 5988115012 11976230024 23952460048