Search a number
-
+
1013436859848 = 233731853228127
BaseRepresentation
bin11101011111101011000…
…10110100010111001000
310120212212011020121222220
432233311202310113020
5113101004314003343
62053322205014040
7133134624114360
oct16576542642710
93525764217886
101013436859848
11360883761646
121444b1b54320
137474a01629a
143709cc0d9a0
151b56620d183
hexebf58b45c8

1013436859848 has 128 divisors (see below), whose sum is σ = 2992455352320. Its totient is φ = 279883226880.

The previous prime is 1013436859829. The next prime is 1013436859871. The reversal of 1013436859848 is 8489586343101.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1013436859791 and 1013436859800.

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, 4328361 + ... + 4556487.

It is an arithmetic number, because the mean of its divisors is an integer number (23378557440).

Almost surely, 21013436859848 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 1013436859848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1496227676160).

1013436859848 is an abundant number, since it is smaller than the sum of its proper divisors (1979018492472).

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

1013436859848 is a wasteful number, since it uses less digits than its factorization.

1013436859848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229027 (or 229023 counting only the distinct ones).

The product of its (nonzero) digits is 19906560, while the sum is 60.

The spelling of 1013436859848 in words is "one trillion, thirteen billion, four hundred thirty-six million, eight hundred fifty-nine thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 31 42 56 62 84 93 124 168 186 217 248 372 434 651 744 853 868 1302 1706 1736 2559 2604 3412 5118 5208 5971 6824 10236 11942 17913 20472 23884 26443 35826 47768 52886 71652 79329 105772 143304 158658 185101 211544 228127 317316 370202 456254 555303 634632 684381 740404 912508 1110606 1368762 1480808 1596889 1825016 2221212 2737524 3193778 4442424 4790667 5475048 6387556 7071937 9581334 12775112 14143874 19162668 21215811 28287748 38325336 42431622 49503559 56575496 84863244 99007118 148510677 169726488 194592331 198014236 297021354 389184662 396028472 583776993 594042708 778369324 1167553986 1188085416 1362146317 1556738648 2335107972 2724292634 4086438951 4670215944 5448585268 6032362261 8172877902 10897170536 12064724522 16345755804 18097086783 24129449044 32691511608 36194173566 42226535827 48258898088 72388347132 84453071654 126679607481 144776694264 168906143308 253359214962 337812286616 506718429924 1013436859848